CINXE.COM

Ken Shirriff's blog: March 2024

<!DOCTYPE html> <html class='v2' dir='ltr' xmlns='http://www.w3.org/1999/xhtml' xmlns:b='http://www.google.com/2005/gml/b' xmlns:data='http://www.google.com/2005/gml/data' xmlns:expr='http://www.google.com/2005/gml/expr'> <head> <link href='https://www.blogger.com/static/v1/widgets/3566091532-css_bundle_v2.css' rel='stylesheet' type='text/css'/> <meta content='width=1100' name='viewport'/> <meta content='text/html; charset=UTF-8' http-equiv='Content-Type'/> <meta content='blogger' name='generator'/> <link href='http://www.righto.com/favicon.ico' rel='icon' type='image/x-icon'/> <link href='http://www.righto.com/2024/03/' rel='canonical'/> <link rel="alternate" type="application/atom+xml" title="Ken Shirriff&#39;s blog - Atom" href="http://www.righto.com/feeds/posts/default" /> <link rel="alternate" type="application/rss+xml" title="Ken Shirriff&#39;s blog - RSS" href="http://www.righto.com/feeds/posts/default?alt=rss" /> <link rel="service.post" type="application/atom+xml" title="Ken Shirriff&#39;s blog - Atom" href="https://www.blogger.com/feeds/6264947694886887540/posts/default" /> <!--Can't find substitution for tag [blog.ieCssRetrofitLinks]--> <meta content='http://www.righto.com/2024/03/' property='og:url'/> <meta content='Ken Shirriff&#39;s blog' property='og:title'/> <meta content='Computer history, restoring vintage computers, IC reverse engineering, and whatever' property='og:description'/> <title>Ken Shirriff's blog: March 2024</title> <style type='text/css'>@font-face{font-family:'Play';font-style:normal;font-weight:400;font-display:swap;src:url(//fonts.gstatic.com/s/play/v19/6aez4K2oVqwIvtU2Gw.eot);}</style> <style id='page-skin-1' type='text/css'><!-- /* ----------------------------------------------- Blogger Template Style Name: Simple Designer: Blogger URL: www.blogger.com ----------------------------------------------- */ /* Variable definitions ==================== <Variable name="keycolor" description="Main Color" type="color" default="#66bbdd"/> <Group description="Page Text" selector="body"> <Variable name="body.font" description="Font" type="font" default="normal normal 12px Arial, Tahoma, Helvetica, FreeSans, sans-serif"/> <Variable name="body.text.color" description="Text Color" type="color" default="#222222"/> </Group> <Group description="Backgrounds" selector=".body-fauxcolumns-outer"> <Variable name="body.background.color" description="Outer Background" type="color" default="#66bbdd"/> <Variable name="content.background.color" description="Main Background" type="color" default="#ffffff"/> <Variable name="header.background.color" description="Header Background" type="color" default="transparent"/> </Group> <Group description="Links" selector=".main-outer"> <Variable name="link.color" description="Link Color" type="color" default="#2288bb"/> <Variable name="link.visited.color" description="Visited Color" type="color" default="#888888"/> <Variable name="link.hover.color" description="Hover Color" type="color" default="#33aaff"/> </Group> <Group description="Blog Title" selector=".header h1"> <Variable name="header.font" description="Font" type="font" default="normal normal 60px Arial, Tahoma, Helvetica, FreeSans, sans-serif"/> <Variable name="header.text.color" description="Title Color" type="color" default="#3399bb" /> </Group> <Group description="Blog Description" selector=".header .description"> <Variable name="description.text.color" description="Description Color" type="color" default="#777777" /> </Group> <Group description="Tabs Text" selector=".tabs-inner .widget li a"> <Variable name="tabs.font" description="Font" type="font" default="normal normal 14px Arial, Tahoma, Helvetica, FreeSans, sans-serif"/> <Variable name="tabs.text.color" description="Text Color" type="color" default="#999999"/> <Variable name="tabs.selected.text.color" description="Selected Color" type="color" default="#000000"/> </Group> <Group description="Tabs Background" selector=".tabs-outer .PageList"> <Variable name="tabs.background.color" description="Background Color" type="color" default="#f5f5f5"/> <Variable name="tabs.selected.background.color" description="Selected Color" type="color" default="#eeeeee"/> </Group> <Group description="Post Title" selector="h3.post-title, .comments h4"> <Variable name="post.title.font" description="Font" type="font" default="normal normal 22px Arial, Tahoma, Helvetica, FreeSans, sans-serif"/> </Group> <Group description="Date Header" selector=".date-header"> <Variable name="date.header.color" description="Text Color" type="color" default="#222222"/> <Variable name="date.header.background.color" description="Background Color" type="color" default="transparent"/> <Variable name="date.header.font" description="Text Font" type="font" default="normal bold 11px Arial, Tahoma, Helvetica, FreeSans, sans-serif"/> <Variable name="date.header.padding" description="Date Header Padding" type="string" default="inherit"/> <Variable name="date.header.letterspacing" description="Date Header Letter Spacing" type="string" default="inherit"/> <Variable name="date.header.margin" description="Date Header Margin" type="string" default="inherit"/> </Group> <Group description="Post Footer" selector=".post-footer"> <Variable name="post.footer.text.color" description="Text Color" type="color" default="#666666"/> <Variable name="post.footer.background.color" description="Background Color" type="color" default="#f9f9f9"/> <Variable name="post.footer.border.color" description="Shadow Color" type="color" default="#eeeeee"/> </Group> <Group description="Gadgets" selector="h2"> <Variable name="widget.title.font" description="Title Font" type="font" default="normal bold 11px Arial, Tahoma, Helvetica, FreeSans, sans-serif"/> <Variable name="widget.title.text.color" description="Title Color" type="color" default="#000000"/> <Variable name="widget.alternate.text.color" description="Alternate Color" type="color" default="#999999"/> </Group> <Group description="Images" selector=".main-inner"> <Variable name="image.background.color" description="Background Color" type="color" default="#ffffff"/> <Variable name="image.border.color" description="Border Color" type="color" default="#eeeeee"/> <Variable name="image.text.color" description="Caption Text Color" type="color" default="#222222"/> </Group> <Group description="Accents" selector=".content-inner"> <Variable name="body.rule.color" description="Separator Line Color" type="color" default="#eeeeee"/> <Variable name="tabs.border.color" description="Tabs Border Color" type="color" default="#eeeeee"/> </Group> <Variable name="body.background" description="Body Background" type="background" color="#f6fbf6" default="$(color) none repeat scroll top left"/> <Variable name="body.background.override" description="Body Background Override" type="string" default=""/> <Variable name="body.background.gradient.cap" description="Body Gradient Cap" type="url" default="url(https://resources.blogblog.com/blogblog/data/1kt/simple/gradients_light.png)"/> <Variable name="body.background.gradient.tile" description="Body Gradient Tile" type="url" default="url(https://resources.blogblog.com/blogblog/data/1kt/simple/body_gradient_tile_light.png)"/> <Variable name="content.background.color.selector" description="Content Background Color Selector" type="string" default=".content-inner"/> <Variable name="content.padding" description="Content Padding" type="length" default="10px" min="0" max="100px"/> <Variable name="content.padding.horizontal" description="Content Horizontal Padding" type="length" default="10px" min="0" max="100px"/> <Variable name="content.shadow.spread" description="Content Shadow Spread" type="length" default="40px" min="0" max="100px"/> <Variable name="content.shadow.spread.webkit" description="Content Shadow Spread (WebKit)" type="length" default="5px" min="0" max="100px"/> <Variable name="content.shadow.spread.ie" description="Content Shadow Spread (IE)" type="length" default="10px" min="0" max="100px"/> <Variable name="main.border.width" description="Main Border Width" type="length" default="0" min="0" max="10px"/> <Variable name="header.background.gradient" description="Header Gradient" type="url" default="none"/> <Variable name="header.shadow.offset.left" description="Header Shadow Offset Left" type="length" default="-1px" min="-50px" max="50px"/> <Variable name="header.shadow.offset.top" description="Header Shadow Offset Top" type="length" default="-1px" min="-50px" max="50px"/> <Variable name="header.shadow.spread" description="Header Shadow Spread" type="length" default="1px" min="0" max="100px"/> <Variable name="header.padding" description="Header Padding" type="length" default="30px" min="0" max="100px"/> <Variable name="header.border.size" description="Header Border Size" type="length" default="1px" min="0" max="10px"/> <Variable name="header.bottom.border.size" description="Header Bottom Border Size" type="length" default="0" min="0" max="10px"/> <Variable name="header.border.horizontalsize" description="Header Horizontal Border Size" type="length" default="0" min="0" max="10px"/> <Variable name="description.text.size" description="Description Text Size" type="string" default="140%"/> <Variable name="tabs.margin.top" description="Tabs Margin Top" type="length" default="0" min="0" max="100px"/> <Variable name="tabs.margin.side" description="Tabs Side Margin" type="length" default="30px" min="0" max="100px"/> <Variable name="tabs.background.gradient" description="Tabs Background Gradient" type="url" default="url(https://resources.blogblog.com/blogblog/data/1kt/simple/gradients_light.png)"/> <Variable name="tabs.border.width" description="Tabs Border Width" type="length" default="1px" min="0" max="10px"/> <Variable name="tabs.bevel.border.width" description="Tabs Bevel Border Width" type="length" default="1px" min="0" max="10px"/> <Variable name="post.margin.bottom" description="Post Bottom Margin" type="length" default="25px" min="0" max="100px"/> <Variable name="image.border.small.size" description="Image Border Small Size" type="length" default="2px" min="0" max="10px"/> <Variable name="image.border.large.size" description="Image Border Large Size" type="length" default="5px" min="0" max="10px"/> <Variable name="page.width.selector" description="Page Width Selector" type="string" default=".region-inner"/> <Variable name="page.width" description="Page Width" type="string" default="auto"/> <Variable name="main.section.margin" description="Main Section Margin" type="length" default="15px" min="0" max="100px"/> <Variable name="main.padding" description="Main Padding" type="length" default="15px" min="0" max="100px"/> <Variable name="main.padding.top" description="Main Padding Top" type="length" default="30px" min="0" max="100px"/> <Variable name="main.padding.bottom" description="Main Padding Bottom" type="length" default="30px" min="0" max="100px"/> <Variable name="paging.background" color="#ffffff" description="Background of blog paging area" type="background" default="transparent none no-repeat scroll top center"/> <Variable name="footer.bevel" description="Bevel border length of footer" type="length" default="0" min="0" max="10px"/> <Variable name="mobile.background.overlay" description="Mobile Background Overlay" type="string" default="transparent none repeat scroll top left"/> <Variable name="mobile.background.size" description="Mobile Background Size" type="string" default="auto"/> <Variable name="mobile.button.color" description="Mobile Button Color" type="color" default="#ffffff" /> <Variable name="startSide" description="Side where text starts in blog language" type="automatic" default="left"/> <Variable name="endSide" description="Side where text ends in blog language" type="automatic" default="right"/> */ /* Content ----------------------------------------------- */ body { font: normal normal 14px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #222222; background: #f6fbf6 none repeat scroll top left; padding: 0 40px 40px 40px; } html body .region-inner { min-width: 0; max-width: 100%; width: auto; } h2 { font-size: 22px; } a:link { text-decoration:none; color: #121fb3; } a:visited { text-decoration:none; color: #121fb3; } a:hover { text-decoration:underline; color: #1a00ff; } .body-fauxcolumn-outer .fauxcolumn-inner { background: transparent url(//www.blogblog.com/1kt/simple/body_gradient_tile_light.png) repeat scroll top left; _background-image: none; } .body-fauxcolumn-outer .cap-top { position: absolute; z-index: 1; height: 400px; width: 100%; } .body-fauxcolumn-outer .cap-top .cap-left { width: 100%; background: transparent url(//www.blogblog.com/1kt/simple/gradients_light.png) repeat-x scroll top left; _background-image: none; } .content-outer { -moz-box-shadow: 0 0 40px rgba(0, 0, 0, .15); -webkit-box-shadow: 0 0 5px rgba(0, 0, 0, .15); -goog-ms-box-shadow: 0 0 10px #333333; box-shadow: 0 0 40px rgba(0, 0, 0, .15); margin-bottom: 1px; } .content-inner { padding: 10px 10px; } .content-inner { background-color: #ffffff; } /* Header ----------------------------------------------- */ .header-outer { background: #f6fbf7 url(//www.blogblog.com/1kt/simple/gradients_light.png) repeat-x scroll 0 -400px; _background-image: none; } .Header h1 { font: normal normal 42px Play; color: #666666; text-shadow: 1px 2px 3px rgba(0, 0, 0, .2); } .Header h1 a { color: #666666; } .Header .description { font-size: 140%; color: #666666; } .header-inner .Header .titlewrapper { padding: 22px 30px; } .header-inner .Header .descriptionwrapper { padding: 0 30px; } /* Tabs ----------------------------------------------- */ .tabs-inner .section:first-child { border-top: 0 solid #eeeeee; } .tabs-inner .section:first-child ul { margin-top: -0; border-top: 0 solid #eeeeee; border-left: 0 solid #eeeeee; border-right: 0 solid #eeeeee; } .tabs-inner .widget ul { background: #f5f5f5 url(//www.blogblog.com/1kt/simple/gradients_light.png) repeat-x scroll 0 -800px; _background-image: none; border-bottom: 1px solid #eeeeee; margin-top: 0; margin-left: -30px; margin-right: -30px; } .tabs-inner .widget li a { display: inline-block; padding: .6em 1em; font: normal normal 14px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #999999; border-left: 1px solid #ffffff; border-right: 1px solid #eeeeee; } .tabs-inner .widget li:first-child a { border-left: none; } .tabs-inner .widget li.selected a, .tabs-inner .widget li a:hover { color: #000000; background-color: #eeeeee; text-decoration: none; } /* Columns ----------------------------------------------- */ .main-outer { border-top: 0 solid #eeeeee; } .fauxcolumn-left-outer .fauxcolumn-inner { border-right: 1px solid #eeeeee; } .fauxcolumn-right-outer .fauxcolumn-inner { border-left: 1px solid #eeeeee; } /* Headings ----------------------------------------------- */ div.widget > h2, div.widget h2.title { margin: 0 0 1em 0; font: normal bold 11px Arial, Tahoma, Helvetica, FreeSans, sans-serif; color: #000000; } /* Widgets ----------------------------------------------- */ .widget .zippy { color: #999999; text-shadow: 2px 2px 1px rgba(0, 0, 0, .1); } .widget .popular-posts ul { list-style: none; } /* Posts ----------------------------------------------- */ h2.date-header { font: normal bold 11px Arial, Tahoma, Helvetica, FreeSans, sans-serif; } .date-header span { background-color: transparent; color: transparent; padding: inherit; letter-spacing: inherit; margin: inherit; } .main-inner { padding-top: 30px; padding-bottom: 30px; } .main-inner .column-center-inner { padding: 0 15px; } .main-inner .column-center-inner .section { margin: 0 15px; } .post { margin: 0 0 25px 0; } h3.post-title, .comments h4 { font: normal normal 22px Arial, Tahoma, Helvetica, FreeSans, sans-serif; margin: .75em 0 0; } .post-body { font-size: 110%; line-height: 1.4; position: relative; } .post-body img, .post-body .tr-caption-container, .Profile img, .Image img, .BlogList .item-thumbnail img { padding: 2px; background: #ffffff; border: 1px solid #ffffff; -moz-box-shadow: 1px 1px 5px rgba(0, 0, 0, .1); -webkit-box-shadow: 1px 1px 5px rgba(0, 0, 0, .1); box-shadow: 1px 1px 5px rgba(0, 0, 0, .1); } .post-body img, .post-body .tr-caption-container { padding: 5px; } .post-body .tr-caption-container { color: #222222; } .post-body .tr-caption-container img { padding: 0; background: transparent; border: none; -moz-box-shadow: 0 0 0 rgba(0, 0, 0, .1); -webkit-box-shadow: 0 0 0 rgba(0, 0, 0, .1); box-shadow: 0 0 0 rgba(0, 0, 0, .1); } .post-header { margin: 0 0 1.5em; line-height: 1.6; font-size: 90%; } .post-footer { margin: 20px -2px 0; padding: 5px 10px; color: #666666; background-color: #f9f9f9; border-bottom: 1px solid #eeeeee; line-height: 1.6; font-size: 90%; } #comments .comment-author { padding-top: 1.5em; border-top: 1px solid #eeeeee; background-position: 0 1.5em; } #comments .comment-author:first-child { padding-top: 0; border-top: none; } .avatar-image-container { margin: .2em 0 0; } #comments .avatar-image-container img { border: 1px solid #ffffff; } /* Comments ----------------------------------------------- */ .comments .comments-content .icon.blog-author { background-repeat: no-repeat; background-image: url(data:image/png;base64,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); } .comments .comments-content .loadmore a { border-top: 1px solid #999999; border-bottom: 1px solid #999999; } .comments .comment-thread.inline-thread { background-color: #f9f9f9; } .comments .continue { border-top: 2px solid #999999; } /* Accents ---------------------------------------------- */ .section-columns td.columns-cell { border-left: 1px solid #eeeeee; } .blog-pager { background: transparent none no-repeat scroll top center; } .blog-pager-older-link, .home-link, .blog-pager-newer-link { background-color: #ffffff; padding: 5px; } .footer-outer { border-top: 0 dashed #bbbbbb; } /* Mobile ----------------------------------------------- */ body.mobile { background-size: auto; } .mobile .body-fauxcolumn-outer { background: transparent none repeat scroll top left; } .mobile .body-fauxcolumn-outer .cap-top { background-size: 100% auto; } .mobile .content-outer { -webkit-box-shadow: 0 0 3px rgba(0, 0, 0, .15); box-shadow: 0 0 3px rgba(0, 0, 0, .15); } .mobile .tabs-inner .widget ul { margin-left: 0; margin-right: 0; } .mobile .post { margin: 0; } .mobile .main-inner .column-center-inner .section { margin: 0; } .mobile .date-header span { padding: 0.1em 10px; margin: 0 -10px; } .mobile h3.post-title { margin: 0; } .mobile .blog-pager { background: transparent none no-repeat scroll top center; } .mobile .footer-outer { border-top: none; } .mobile .main-inner, .mobile .footer-inner { background-color: #ffffff; } .mobile-index-contents { color: #222222; } .mobile-link-button { background-color: #121fb3; } .mobile-link-button a:link, .mobile-link-button a:visited { color: #ffffff; } .mobile .tabs-inner .section:first-child { border-top: none; } .mobile .tabs-inner .PageList .widget-content { background-color: #eeeeee; color: #000000; border-top: 1px solid #eeeeee; border-bottom: 1px solid #eeeeee; } .mobile .tabs-inner .PageList .widget-content .pagelist-arrow { border-left: 1px solid #eeeeee; } .content-outer { max-width: 1400px !important; } /* fix header */ #header-inner { width: 100% !important; background-position: right !important; } .titlewrapper { padding: 11px 30px 0 !important; } .descriptionwrapper { margin-bottom: 0 !important; } .description { font-size: 120% !important; } /* suppress things */ .date-header { display: none; } #Attribution1 { display: none; } .post-author, .post-timestamp, .reaction-buttons { display: none; } /* h2: sidebar titles */ /* h3: post title */ .post-title , .entry-title { font-size: 180% !important; margin-top: 0 !important; } .entry-title a:link, .entry-title a:visited, .entry-title a:active{ color: #a03; } #main h2 { color:#333; margin-bottom:.4em; margin-top: 13px; font-size:140%; } #main h3 { color:#333; margin-bottom:.4em; margin-top: 13px; font-size:110%; } #main h4 { color:#333; margin-bottom:.5em; } #sidebar-right-1 a:link, #sidebar-right-1 a:visited, #sidebar-right-1 a:active { color: #666; } #sidebar-right-1 h2 { font-size: 100%; color: #666; } /* disable image box */ element.style { } table.chargers img { height: 18px; } table.chargers img { height: 18px; } .post-body img, .post-body .tr-caption-container { padding: 5px; } .post-body img, .post-body .tr-caption-container, .Profile img, .Image img, .BlogList .item-thumbnail img { padding: 0; background: #ffffff; border: none; -moz-box-shadow: none; -webkit-box-shadow: none; box-shadow: none; } /* Special items */ a:link img.hilite, a:visited img.hilite { color: #fff; } a:hover img.hilite, a:hover img.hilite2 { color: #f66; } a:active img.hilite { color: #33c; } .hilite {cursor:zoom-in} pre {color:#000000;border:1px solid #000000;} pre.repl { background-color:#e0e0f0; font-size:120%;} pre.arc { background-color:#e0e0f0; font-size:120%;} pre.code { background-color:#e0f0e0; font-size:120%; white-space:pre-wrap;white-space:-moz-pre-wrap;white-space:-pre-wrap;white-space:-o-pre-wrap;word-wrap:break-word;text-wrap:unrestricted;} code { font-size: 100%;} blockquote { font-size: 110%; background: transparent url("//static.righto.com/images/blockquote.gif") no-repeat 0 0; margin: 20px 0px; padding: 0px 40px;} div.cite {font-size: .8em;.; font-style: italic; color: #888; margin-bottom: 9px;} a.ref { color: gray;vertical-align: super; text-decoration: none; font-size:60%;margin-left: 2px;} a img.hilite { border: 1px solid; color: #888; z-index: 2; } a img.hilite2, a:active img.hilite2 { border: 1px solid; color: #f6fbf6; } table.chargers { border-width: 1px; border-spacing: 2px; border-style: outset; border-color: gray; border-collapse: collapse; background-color: white; } table.chargers th.maker { padding-right: 5px; text-align: right; } table.chargers th { border-width: 1px; padding: 3px; border-style: inset; border-color: gray; background-color: white; text-align: center; } table.chargers img { height: 18px; } table.chargers td { text-align: center; border-width: 1px; padding: 2px 8px; border-style: inset; border-color: gray; background-color: white; } --></style> <style id='template-skin-1' type='text/css'><!-- body { min-width: 750px; } .content-outer, .content-fauxcolumn-outer, .region-inner { min-width: 750px; max-width: 750px; _width: 750px; } .main-inner .columns { padding-left: 0px; padding-right: 240px; } .main-inner .fauxcolumn-center-outer { left: 0px; right: 240px; /* IE6 does not respect left and right together */ _width: expression(this.parentNode.offsetWidth - parseInt("0px") - parseInt("240px") + 'px'); } .main-inner .fauxcolumn-left-outer { width: 0px; } .main-inner .fauxcolumn-right-outer { width: 240px; } .main-inner .column-left-outer { width: 0px; right: 100%; margin-left: -0px; } .main-inner .column-right-outer { width: 240px; margin-right: -240px; } #layout { min-width: 0; } #layout .content-outer { min-width: 0; width: 800px; } #layout .region-inner { min-width: 0; width: auto; } --></style> <meta content='width=device-width, initial-scale=1.0, maximum-scale=12.0, minimum-scale=.25, user-scalable=yes' name='viewport'/> <meta content='mw8ww70r3jW0GzXY6j1d' name='follow_it-verification-code'/> <link href='https://www.blogger.com/dyn-css/authorization.css?targetBlogID=6264947694886887540&amp;zx=d1d5c717-50dc-4db8-8c93-9bed247b7da3' media='none' onload='if(media!=&#39;all&#39;)media=&#39;all&#39;' rel='stylesheet'/><noscript><link href='https://www.blogger.com/dyn-css/authorization.css?targetBlogID=6264947694886887540&amp;zx=d1d5c717-50dc-4db8-8c93-9bed247b7da3' rel='stylesheet'/></noscript> <meta name='google-adsense-platform-account' content='ca-host-pub-1556223355139109'/> <meta name='google-adsense-platform-domain' content='blogspot.com'/> </head> <body class='loading'> <div class='navbar no-items section' id='navbar'> </div> <div class='body-fauxcolumns'> <div class='fauxcolumn-outer body-fauxcolumn-outer'> <div class='cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left'> <div class='fauxborder-right'></div> <div class='fauxcolumn-inner'> </div> </div> <div class='cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> </div> <div class='content'> <div class='content-fauxcolumns'> <div class='fauxcolumn-outer content-fauxcolumn-outer'> <div class='cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left'> <div class='fauxborder-right'></div> <div class='fauxcolumn-inner'> </div> </div> <div class='cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> </div> <div class='content-outer'> <div class='content-cap-top cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left content-fauxborder-left'> <div class='fauxborder-right content-fauxborder-right'></div> <div class='content-inner'> <header> <div class='header-outer'> <div class='header-cap-top cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left header-fauxborder-left'> <div class='fauxborder-right header-fauxborder-right'></div> <div class='region-inner header-inner'> <div class='header section' id='header'><div class='widget Header' data-version='1' id='Header1'> <div id='header-inner' style='background-image: url("https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-4KXwYe0lQ4HFzhAye9vvRlij2ZYvMbfPCnqEE__1o85Fjo3XgefxJQhWRdwR3EzNWNMWT3yMaj2QZaT9GazqQx3C6oWa3-hBNlRHG7f-Oib-lv1Wq_C2_A0rt8xZgs87iNqzRVKK7H0A/s800/background.jpg"); background-position: left; width: 550px; min-height: 105px; _height: 105px; background-repeat: no-repeat; '> <div class='titlewrapper' style='background: transparent'> <h1 class='title' style='background: transparent; border-width: 0px'> <a href='http://www.righto.com/'> Ken Shirriff's blog </a> </h1> </div> <div class='descriptionwrapper'> <p class='description'><span>Computer history, restoring vintage computers, IC reverse engineering, and whatever</span></p> </div> </div> </div></div> </div> </div> <div class='header-cap-bottom cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> </header> <div class='tabs-outer'> <div class='tabs-cap-top cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left tabs-fauxborder-left'> <div class='fauxborder-right tabs-fauxborder-right'></div> <div class='region-inner tabs-inner'> <div class='tabs no-items section' id='crosscol'></div> <div class='tabs no-items section' id='crosscol-overflow'></div> </div> </div> <div class='tabs-cap-bottom cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> <div class='main-outer'> <div class='main-cap-top cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left main-fauxborder-left'> <div class='fauxborder-right main-fauxborder-right'></div> <div class='region-inner main-inner'> <div class='columns fauxcolumns'> <div class='fauxcolumn-outer fauxcolumn-center-outer'> <div class='cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left'> <div class='fauxborder-right'></div> <div class='fauxcolumn-inner'> </div> </div> <div class='cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> <div class='fauxcolumn-outer fauxcolumn-left-outer'> <div class='cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left'> <div class='fauxborder-right'></div> <div class='fauxcolumn-inner'> </div> </div> <div class='cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> <div class='fauxcolumn-outer fauxcolumn-right-outer'> <div class='cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left'> <div class='fauxborder-right'></div> <div class='fauxcolumn-inner'> </div> </div> <div class='cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> <!-- corrects IE6 width calculation --> <div class='columns-inner'> <div class='column-center-outer'> <div class='column-center-inner'> <div class='main section' id='main'><div class='widget Blog' data-version='1' id='Blog1'> <div class='blog-posts hfeed'> <div class="date-outer"> <div class="date-posts"> <div class='post-outer'> <div class='post hentry' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='https://static.righto.com/images/idt-gate-array/package-w350.jpg' itemprop='image_url'/> <meta content='6264947694886887540' itemprop='blogId'/> <meta content='8127698329536141060' itemprop='postId'/> <a name='8127698329536141060'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://www.righto.com/2024/03/idt-gate-array.html'>Inside an unusual 7400-series chip implemented with a gate array</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-8127698329536141060' itemprop='description articleBody'> <p>When I look inside a chip from the popular 7400 series, I know what to expect: a fairly simple die, implemented in a straightforward, cost-effective way. However, when I looked inside a military-grade chip built by Integrated Device Technology (IDT)<span id="fnref:idt"><a class="ref" href="#fn:idt">4</a></span> I found a very unexpected layout: over 1500 transistors in an orderly matrix. Even stranger, most of the die is wasted: less than 20% of these transistors are used, forming scattered circuits connected by thin metal wires.</p> <p>In this blog post, I look at this chip in detail, describe its gates, and explain how it implements the "1-of-4" decoder function. I also discuss why it sometimes makes sense to build chips with a gate array design such as this, despite the inefficiency.</p> <p><a href="https://static.righto.com/images/idt-gate-array/package.jpg"><img alt="A photo of the tiny silicon die in its package. This chip is the IDT 54FCT139ALB dual 1-of-4 decoder. Click this image (or any other) for a larger version." class="hilite" height="351" src="https://static.righto.com/images/idt-gate-array/package-w350.jpg" title="A photo of the tiny silicon die in its package. This chip is the IDT 54FCT139ALB dual 1-of-4 decoder. Click this image (or any other) for a larger version." width="350" /></a><div class="cite">A photo of the tiny silicon die in its package. This chip is the IDT 54FCT139ALB dual 1-of-4 decoder. Click this image (or any other) for a larger version.</div></p> <p>In the photo below, you can see the silicon die in more detail, with the silicon appearing pink. The main circuitry is implemented in the nine rows that form the gate array, a grid of 1584 transistors. The tiny dark rectangles are transistors of two types, NMOS and PMOS, that work together to implement CMOS logic circuits. At this scale, the metal wiring is visible as faint gray lines and smudges, but most of the transistors are unconnected. Surrounding the gate array are 22 input/output (I/O) blocks each with a square bond pad. As with the transistors, many of these I/O blocks are unused. Fourteen of these bond pads have tiny metal bond wires (the thick black lines) that connect the silicon die to the chip's external pins. Finally, the pairs of bond wires at the center left and center right provide ground and power connections for the chip.</p> <p><a href="https://static.righto.com/images/idt-gate-array/decoder.jpg"><img alt="Closeup die photo." class="hilite" height="572" src="https://static.righto.com/images/idt-gate-array/decoder-w600.jpg" title="Closeup die photo." width="600" /></a><div class="cite">Closeup die photo.</div></p> <p>The photo below zooms in on three rows of circuitry in the chip. The large dark rectangles are pairs of transistors, with two lines of transistors in each row of circuitry. At the top and bottom of each row, the thick horizontal white lines are metal wiring that provides power and ground. In each row, one line of transistors holds PMOS transistors, next to the power wiring, while the other line holds NMOS transistors, next to the ground wiring. (The orientation flips in each successive row, so it isn't obvious which transistors are which unless you check the power connections at the end of the row.)</p> <p><a href="https://static.righto.com/images/idt-gate-array/closeup.jpg"><img alt="A closeup of the die." class="hilite" height="600" src="https://static.righto.com/images/idt-gate-array/closeup-w600.jpg" title="A closeup of the die." width="600" /></a><div class="cite">A closeup of the die.</div></p> <p>The transistors are wired into gates by the metal layers, the white lines. The gates are connected by horizontal and vertical wiring using the wiring channels between the rows. This wiring style is very similar to <a href="https://www.righto.com/2024/01/intel-386-standard-cells.html">standard-cell logic</a>. However, unlike standard-cell logic, the underlying transistor grid is fixed, resulting in wasted transistors. In the image above, most of the transistors in the middle row are used, while the top row is unused and the bottom row is mostly unused.</p> <p>The diagram below shows the structure of one of the transistor blocks, which contains two tall, thin MOS transistors. The vertical metal contacts connect to the sources and drains of the transistors, with the two transistors sharing the middle contact. (On an integrated circuit, the source and drain of a transistor are identical, so it is arbitrary which side is the source and which is the drain.) The short horizontal metal contacts at the top connect to the gates of the two transistors; the gates are made of polysilicon, which is barely visible in the die photo. The gates partition the active silicon (green), forming the transistors. The gate width is approximately 1 µm.</p> <p><a href="https://static.righto.com/images/idt-gate-array/two-transistors.jpg"><img alt="A block of two transistors as they appear on the die, along with a diagram showing the structure. The bar indicates a length of 10 µm." class="hilite" height="391" src="https://static.righto.com/images/idt-gate-array/two-transistors-w400.jpg" title="A block of two transistors as they appear on the die, along with a diagram showing the structure. The bar indicates a length of 10 µm." width="400" /></a><div class="cite">A block of two transistors as they appear on the die, along with a diagram showing the structure. The bar indicates a length of 10 µm.</div></p> <h1>NAND gate</h1> <p>In this section, I'll explain the construction of one of the NAND gates on the die. The NAND gate below uses four transistors, two NMOS transistors on the top and two PMOS transistors on the bottom. The white lines are the metal wiring, forming two layers. Most of the wiring (including power and ground) is in the lower (M1) layer. The slightly wider and darker vertical segments are the upper (M2) layer. The circles connect the metal layers when they join, or connect the metal layer to the underlying silicon or polysilicon. With two metal layers, it's a bit tricky to see how the wiring is connected. The A and B inputs each connect to two transistor gates. The transistor group at the top is connected to ground on the right, with the output on the left. The transistor group on the bottom is connected to Vcc on the left and right, with the output in the middle. This has the effect of putting the upper transistors in series and the lower transistors in parallel.</p> <p><a href="https://static.righto.com/images/idt-gate-array/nand-die.jpg"><img alt="A NAND gate on the die." class="hilite" height="422" src="https://static.righto.com/images/idt-gate-array/nand-die-w220.jpg" title="A NAND gate on the die." width="220" /></a><div class="cite">A NAND gate on the die.</div></p> <p>Below, I've drawn the schematic of the NAND gate. On the left, the layout of the schematic matches the die layout above. On the right, I've redrawn the schematic with a more traditional layout. To understand its operation, note that a PMOS transistor (top on the right schematic) turns on when the input is low, while an NMOS transistor (bottom on the right) turns on when the input is high. When both inputs are high, the two NMOS transistors turn on, connecting ground to the output, pulling it low. When either input is low, one of the PMOS transistors turns on, pulling the output high. Thus, the circuit implements the NAND function. The NMOS and PMOS transistors operate in a complementary fashion, giving CMOS (Complementary MOS) its name.</p> <p><a href="https://static.righto.com/images/idt-gate-array/nand-schematic.jpg"><img alt="Schematic of a NAND gate." class="hilite" height="265" src="https://static.righto.com/images/idt-gate-array/nand-schematic-w600.jpg" title="Schematic of a NAND gate." width="600" /></a><div class="cite">Schematic of a NAND gate.</div></p> <h1>NOR gate</h1> <p>In this section, I'll explain the layout of one of the NOR gates on the die, shown below. This gate is twice as large as the previous NAND gate so it can provide twice the output current.<span id="fnref:scaling"><a class="ref" href="#fn:scaling">1</a></span> The NOR gate uses eight transistors, four PMOS transistors in the upper half and four NMOS transistors in the lower half. (Note that Vcc and ground are flipped compared to the previous gate, as are the NMOS and PMOS transistors.) The two transistors in each block are wired in parallel to produce more current for the output. (<code>A out</code> is the same signal as <code>A in</code>, exiting the block at the top to connect to other circuitry.)</p> <p><a href="https://static.righto.com/images/idt-gate-array/nor-i-die.jpg"><img alt="A NOR gate on the die." class="hilite" height="461" src="https://static.righto.com/images/idt-gate-array/nor-i-die-w350.jpg" title="A NOR gate on the die." width="350" /></a><div class="cite">A NOR gate on the die.</div></p> <p>The schematic below shows the wiring of the eight transistors. The schematic layout corresponds to the physical layout to make it easier to map between the image and the schematic. The upper transistor groups are wired in series, while the lower transistor groups are wired in parallel.</p> <p><a href="https://static.righto.com/images/idt-gate-array/nor-die-schematic.jpg"><img alt="Schematic corresponding to the gate above." class="hilite" height="303" src="https://static.righto.com/images/idt-gate-array/nor-die-schematic-w500.jpg" title="Schematic corresponding to the gate above." width="500" /></a><div class="cite">Schematic corresponding to the gate above.</div></p> <p>The schematic below has been redrawn to make the functionality clearer, and the parallel transistors have been removed. If either input is high, one of the NMOS transistors on the bottom will turn on and pull the input low. If both inputs are low, the two PMOS transistors will turn on and pull the input high. This provides the desired NOR function.</p> <p><a href="https://static.righto.com/images/idt-gate-array/nor-schematic.jpg"><img alt="Simplified NOR gate schematic." class="hilite" height="297" src="https://static.righto.com/images/idt-gate-array/nor-schematic-w300.jpg" title="Simplified NOR gate schematic." width="300" /></a><div class="cite">Simplified NOR gate schematic.</div></p> <p>Note that the NAND and NOR gates have similar but opposite schematics. In the NAND gate, the NMOS transistors are in series while the PMOS transistors are in parallel. In the NOR gate, the roles of the transistors are swapped.</p> <h1>The chip's circuit</h1> <p>The chip I examined is a "dual 1-of-4 decoder with enable".<span id="fnref:part-number"><a class="ref" href="#fn:part-number">2</a></span> The decoding function takes a two-bit input and selects one of four output lines depending on the binary value. The enable line must be low to activate this operation; otherwise all four output lines are disabled. The chip contains two of these decoders, which is why it is called a dual decoder. In total, the chip contains 18 logic gates,<span id="fnref:datasheet"><a class="ref" href="#fn:datasheet">3</a></span> so it is very simple, even by 1990s standards.</p> <p>I reverse-engineered the chip and created the schematic below, showing one of the dual units. Each NAND gate matches one of the four input possibilities to drive one of the four outputs. The NOR gates support the <code>ENABLE</code> signal, blocking the outputs unless <code>ENABLE</code> is active (i.e. low).</p> <p><a href="https://static.righto.com/images/idt-gate-array/schematic2.jpg"><img alt="Reverse-engineered schematic of half the chip." class="hilite" height="518" src="https://static.righto.com/images/idt-gate-array/schematic2-w600.jpg" title="Reverse-engineered schematic of half the chip." width="600" /></a><div class="cite">Reverse-engineered schematic of half the chip.</div></p> <p>The chip uses a general-purpose I/O block (below) for each pin, that can be used as an input or an output depending on how it is wired. Each block contains two large drive transistors: an NMOS transistor to pull the output low and a PMOS transistor to pull the output high. The I/O block has separate control lines for the two output transistors. (At the bottom of the image below, two thin metal wires drive the high-side and low-side transistors.) This permits tri-state logic: if neither transistor is energized, the output is left floating. The gate array drives the output transistors with high-current inverter, constructed from multiple transistors in parallel. (This is why the schematic shows more inverters than may seem necessary.)</p> <p><a href="https://static.righto.com/images/idt-gate-array/pin-die.jpg"><img alt="One of the 22 I/O blocks on the die. Each I/O block is associated with a bond pad, where a bond wire can be connected to an external pin." class="hilite" height="593" src="https://static.righto.com/images/idt-gate-array/pin-die-w380.jpg" title="One of the 22 I/O blocks on the die. Each I/O block is associated with a bond pad, where a bond wire can be connected to an external pin." width="380" /></a><div class="cite">One of the 22 I/O blocks on the die. Each I/O block is associated with a bond pad, where a bond wire can be connected to an external pin.</div></p> <p>When used as an input, the pad is wired to the surrounding circuitry slightly differently, connecting to input protection diodes (not shown on the schematic). Thus, the functionality of the I/O blocks can be changed by modifying the metal layers, without changing the underlying silicon.</p> <h2>Some 7400-series history</h2> <p>The earliest logic integrated circuits used resistors and transistors internally, so they were called RTL (Resistor Transistor Logic), but RTL had significant performance problems. RTL was rapidly replaced by Diode Transistor Logic (DTL) and then Transistor Transistor Logic (TTL). In <a href="https://www.computerhistory.org/siliconengine/standard-logic-ic-families-introduced/">1964</a>, Texas Instruments created a line of TTL integrated circuits for military applications called the SN5400 series. This was shortly followed by the commercial-grade SN7400 series.</p> <p>The 7400 series of integrated circuits was inexpensive, fast, and easy to use. The line started with simple logic circuits such as four NAND gates on a chip, and moved into more complex chips such as counters, shift registers, and ALUs. The 7400 series became very popular in the 1970s and 1980s, used by electronics hobbyists and high-performance minicomputers alike. These chips became essential building blocks and "glue" logic for microcomputers, heavily used in the <a href="https://downloads.reactivemicro.com/Apple%20II%20Items/Hardware/II_&amp;_II+/Schematic/Apple%20II%20Schematics.pdf">Apple II</a> for instance.</p> <p>The original 7400 series branched into <a href="https://en.wikipedia.org/wiki/7400-series_integrated_circuits#Families">dozens of families</a> with different performance characteristics but the same functionality. The 74LS (low-power Schottky) family, for instance, became very popular as it both improved speed and reduced power consumption. In the mid-1970s, 7400-series chips were introduced that used CMOS circuitry instead of TTL for dramatically lower power consumption. This CMOS family, the 74C series, was followed by numerous other CMOS families.</p> <p>That brings us to the chip I examined, a member of IDT's 74FCT (Fast CMOS TTL-compatible) line of chips, introduced in the mid-1980s. (Specifically, it is in the 54FCT family because it handles a wider temperature range.) These chips used advanced CMOS technology to provide high speed, low power consumption, and as a military option, radiation tolerance.</p> <h2>Conclusions</h2> <p>Why would you make a chip in this inefficient way, using a gate array that wastes most of the die area? The motivation is that most of the design cost can be shared across many different part types. Each step of integrated circuit processing requires an expensive mask for photolithography. With a gate array, all chip types use the same underlying silicon and transistors, with custom masks just for the two metal layers. In comparison, a fully custom chip might require eight custom masks, which costs much more. The tradeoff is that gate array chips are larger so the manufacturing cost is higher per device.<span id="fnref:manufacturing"><a class="ref" href="#fn:manufacturing">5</a></span> Thus, a gate array design is better when selling chips in relatively small quantities, while a custom design is cheaper when mass-producing chips.<span id="fnref:gate-array"><a class="ref" href="#fn:gate-array">6</a></span> IDT focused on the high-performance and military market rather than the commodity chip market, so gate arrays were a good fit.</p> <p>One last thing. The packaging of this chip is very interesting since it is mounted on a multi-chip module. The module also contains two Atmel EEPROMs. Presumably the decoder chip decodes address bits to select one of the EEPROMs.</p> <p><a href="https://static.righto.com/images/idt-gate-array/mcm.jpg"><img alt="The multi-chip module containing the decoder chip along with an AT28HC64 EPROM on either side." class="hilite" height="198" src="https://static.righto.com/images/idt-gate-array/mcm-w600.jpg" title="The multi-chip module containing the decoder chip along with an AT28HC64 EPROM on either side." width="600" /></a><div class="cite">The multi-chip module containing the decoder chip along with an AT28HC64 EPROM on either side.</div></p> <p>Thanks to Don S. for providing the chip. Follow me on Twitter <a href="https://twitter.com/kenshirriff">@kenshirriff</a> or <a href="http://www.righto.com/feeds/posts/default">RSS</a> for updates. I've also started experimenting with Mastodon recently as <a href="https://oldbytes.space/@kenshirriff">@oldbytes.space@kenshirriff</a>.</p> <h2>Notes and references</h2> <div class="footnote"> <ol> <li id="fn:scaling"> <p>Properly sizing the transistors in a gate is important for performance. Since the transistors in the gate array are all the same size, multiple transistors are used in parallel to get the desired current. The 1999 book <a href="https://amzn.to/3UxmgV5">Logical Effort</a> describes a methodology for maximizing the performance of CMOS circuits by correctly sizing the transistors.&#160;<a class="footnote-backref" href="#fnref:scaling" title="Jump back to footnote 1 in the text">&#8617;</a></p> </li> <li id="fn:part-number"> <p>The part number is "IDT 54FCT139ALB". "54" indicates the chip operates under an enhanced temperature range of -55&deg;C to +125&deg;C. The "A" indicates the chip is 35% faster than the base series (but not as fast as "C"). "L" indicates the chip is packaged in a leadless chip carrier, the square package shown at the top of the article. Finally, "B" indicates the chip was tested according to military standards: MIL-STD-883, Class B.&#160;<a class="footnote-backref" href="#fnref:part-number" title="Jump back to footnote 2 in the text">&#8617;</a></p> </li> <li id="fn:datasheet"> <p>The chip contains 18 logic gates according to the functional schematic in the datasheet (below). The implementation actually uses 52 logic gates by my count (2&#215;26) because the implementation doesn't exactly match the schematic. In particular, the datasheet shows three-input NAND gates, but the chip uses a NAND gate and a NOR gate along with inverters. The chip also has additional inverters to drive the output transistors in each I/O block.</p> <p><a href="https://static.righto.com/images/idt-gate-array/datasheet-schematic.jpg"><img alt="Schematic of the chip from the datasheet." class="hilite" height="285" src="https://static.righto.com/images/idt-gate-array/datasheet-schematic-w400.jpg" title="Schematic of the chip from the datasheet." width="400" /></a><div class="cite">Schematic of the chip from the <a href="https://rocelec.widen.net/view/pdf/23ifkxsef5/IDTIS05247-1.pdf">datasheet</a>.</div></p> <p><!-- -->&#160;<a class="footnote-backref" href="#fnref:datasheet" title="Jump back to footnote 3 in the text">&#8617;</a></p> </li> <li id="fn:idt"> <p>Integrated Device Technology was a spinoff from Hewlett Packard that started in 1980. IDT built advanced CMOS chips including fast static RAM and microprocessors (bit-slice and MIPS). It became part of Renesas in 2018. A very detailed 1986 profile of IDT is <a href="https://archive.computerhistory.org/resources/access/text/2013/04/102723181-05-01-acc.pdf#page=194">here</a>. IDT's logo is pretty cool, combining a chip wafer and calculus.</p> <p><a href="https://static.righto.com/images/idt-gate-array/logo.jpg"><img alt="The logo of Integrated Device Technology." class="hilite" height="193" src="https://static.righto.com/images/idt-gate-array/logo-w400.jpg" title="The logo of Integrated Device Technology." width="400" /></a><div class="cite">The logo of Integrated Device Technology.</div></p> <p>Here's how the logo looks on the die:</p> <p><a href="https://static.righto.com/images/idt-gate-array/die-logo.jpg"><img alt="Closeup of the die showing the IDT logo." class="hilite" height="105" src="https://static.righto.com/images/idt-gate-array/die-logo-w400.jpg" title="Closeup of the die showing the IDT logo." width="400" /></a><div class="cite">Closeup of the die showing the IDT logo.</div></p> <!-- --> <p>The die also has the initials of the designers, along with some mysterious symbols. One looks like the Chinese character "正". (Update: based on a <a href="https://twitter.com/Volvagia356/status/1774129087545840024">Twitter comment</a>, these symbols are probably <a href="https://en.wiktionary.org/wiki/%E6%AD%A3#Usage_notes">tally marks</a>, indicating the revision count for each mask.)</p> <p><a class="footnote-backref" href="#fnref:idt" title="Jump back to footnote 4 in the text">&#8617;</a><a href="https://static.righto.com/images/idt-gate-array/initials.jpg"><img alt="Closeups of two parts of the die." class="hilite" height="129" src="https://static.righto.com/images/idt-gate-array/initials-w400.jpg" title="Closeups of two parts of the die." width="400" /></a><div class="cite">Closeups of two parts of the die.</div></p> </li> <li id="fn:manufacturing"> <p>Integrated circuit manufacturing is partitioned into the "front end of line", where the transistors are created on the silicon wafer, and the "back end of line", where the metal wiring is put on top to connect the transistors. With a gate array construction, the front end of line steps create generic gate array wafers. The back end of line steps then connect the transistors as desired for a particular component. The gate array wafers can be produced in large quantities and stored, and then customized for specific products in smaller quantities as needed. This reduces the time to supply a particular chip type since only the back end of line process needs to take place.&#160;<a class="footnote-backref" href="#fnref:manufacturing" title="Jump back to footnote 5 in the text">&#8617;</a></p> </li> <li id="fn:gate-array"> <p>The <a href="http://www.bitsavers.org/components/idt/_dataBooks/1993_IDT_High-Speed_CMOS_Logic_Design_Guide.pdf#page=60">IDT High-Speed CMOS Logic Design Guide</a> briefly mentions the gate array design. The FCT family was built from two sizes of gate arrays, "4004" for smaller chips and "8000" for larger chips. Later, IDT shrunk the original "Z-step" gate arrays to smaller, higher-performance "Y-step" arrays. They then customized some of the devices to create the "W-step" devices. Looking at the markings on the die, we see that this chip uses the "4004Y" gate array.</p> <p><a href="https://static.righto.com/images/idt-gate-array/4004.jpg"><img alt="The die shows gate slice 4004Y and part 4139Y (indicating 54139 or 74139). The numbers are slightly obscured by a bond wire." class="hilite" height="195" src="https://static.righto.com/images/idt-gate-array/4004-w500.jpg" title="The die shows gate slice 4004Y and part 4139Y (indicating 54139 or 74139). The numbers are slightly obscured by a bond wire." width="500" /></a><div class="cite">The die shows gate slice 4004Y and part 4139Y (indicating 54139 or 74139). The numbers are slightly obscured by a bond wire.</div></p> <p><!-- -->&#160;<a class="footnote-backref" href="#fnref:gate-array" title="Jump back to footnote 6 in the text">&#8617;</a></p> </li> </ol> </div> <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'><span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/6264947694886887540/8127698329536141060' onclick=''> 12 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/6264947694886887540/8127698329536141060' title='Email Post'> <img alt='' class='icon-action' height='13' src='http://img1.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-1138732533'> <a href='https://www.blogger.com/post-edit.g?blogID=6264947694886887540&postID=8127698329536141060&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <span class='post-backlinks post-comment-link'> </span> <div class='post-share-buttons goog-inline-block'> <a class='goog-inline-block share-button sb-email' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=8127698329536141060&target=email' target='_blank' title='Email This'><span class='share-button-link-text'>Email This</span></a><a class='goog-inline-block share-button sb-blog' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=8127698329536141060&target=blog' onclick='window.open(this.href, "_blank", "height=270,width=475"); return false;' target='_blank' title='BlogThis!'><span class='share-button-link-text'>BlogThis!</span></a><a class='goog-inline-block share-button sb-twitter' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=8127698329536141060&target=twitter' target='_blank' title='Share to X'><span class='share-button-link-text'>Share to X</span></a><a class='goog-inline-block share-button sb-facebook' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=8127698329536141060&target=facebook' onclick='window.open(this.href, "_blank", "height=430,width=640"); return false;' target='_blank' title='Share to Facebook'><span class='share-button-link-text'>Share to Facebook</span></a><a class='goog-inline-block share-button sb-pinterest' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=8127698329536141060&target=pinterest' target='_blank' title='Share to Pinterest'><span class='share-button-link-text'>Share to Pinterest</span></a> </div> </div> <div class='post-footer-line post-footer-line-2'><span class='post-labels'> Labels: <a href='http://www.righto.com/search/label/chips' rel='tag'>chips</a>, <a href='http://www.righto.com/search/label/electronics' rel='tag'>electronics</a>, <a href='http://www.righto.com/search/label/reverse-engineering' rel='tag'>reverse-engineering</a> </span> </div> <div class='post-footer-line post-footer-line-3'></div> </div> </div> </div> </div></div> <div class="date-outer"> <div class="date-posts"> <div class='post-outer'> <div class='post hentry' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='https://static.righto.com/images/8086-prefetch8088/die-labeled-w600.jpg' itemprop='image_url'/> <meta content='6264947694886887540' itemprop='blogId'/> <meta content='6945380884103902536' itemprop='postId'/> <a name='6945380884103902536'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://www.righto.com/2024/03/8088-prefetch-circuitry.html'>The Intel 8088 processor's instruction prefetch circuitry: a look inside</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-6945380884103902536' itemprop='description articleBody'> <p>In 1979, Intel introduced the 8088 microprocessor, a variant of the 16-bit 8086 processor. IBM's decision to use the 8088 processor in the IBM PC (1981) was a critical point in computer history, leading to the dominance of the x86 architecture that continues to the present.<span id="fnref:marketshare"><a class="ref" href="#fn:marketshare">1</a></span> One way that the 8086 and 8088 increased performance was by prefetching: the processor fetches instructions from memory before they are needed, so the processor can execute them without waiting on the relatively slow memory. I've been reverse-engineering the 8088 from die photos and this blog post discusses what I've uncovered about the prefetch circuitry.</p> <p>The die photo below shows the 8088 microprocessor under a microscope. The metal layer on top of the chip is visible, with the silicon and polysilicon mostly hidden underneath. Around the edges of the die, bond wires connect pads to the chip's 40 external pins. I've labeled the key functional blocks; this article focuses on the prefetch queue components highlighted in red. The components in purple also play a role, and will be discussed below. Architecturally, the chip is partitioned into a Bus Interface Unit (BIU) at the top and an Execution Unit (EU) below. The BIU handles memory accesses, while the Execution Unit (EU) executes instructions. In particular, the BIU fetches instructions, which are transferred from the prefetch queue to the Execution Unit via the queue bus.</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/die-labeled.jpg"><img alt="The 8088 die under a microscope, with main functional blocks labeled. This photo shows the chip&#39;s single metal layer; the polysilicon and silicon are underneath. Click on this image (or any other) for a larger version." class="hilite" height="632" src="https://static.righto.com/images/8086-prefetch8088/die-labeled-w600.jpg" title="The 8088 die under a microscope, with main functional blocks labeled. This photo shows the chip&#39;s single metal layer; the polysilicon and silicon are underneath. Click on this image (or any other) for a larger version." width="600" /></a><div class="cite">The 8088 die under a microscope, with main functional blocks labeled. This photo shows the chip's single metal layer; the polysilicon and silicon are underneath. Click on this image (or any other) for a larger version.</div></p> <p>The 8086 and 8088 processors present the same 16-bit architecture to the programmer. The key difference is that the 8088 has an 8-bit data bus for communication with memory and I/O, rather than the 16-bit bus of the 8086. The 8088's narrower bus reduced performance, since the processor only transfers one byte at a time rather than two. However, the 8-bit bus enabled cheaper computer hardware. The 8-bit bus was also a better match for hardware based on the older but popular 8-bit Intel 8080 and 8085 processors, allowing the reuse of 8-bit I/O circuitry for instance. Much of the IBM PC was based on the little-known IBM <a href="https://www.ardent-tool.com/5150/PC_origins.html">DataMaster</a>, a computer built around the Intel 8085. Thus, selecting the 8088 processor was a natural choice for the IBM PC.</p> <p>For the most part, the 8086 and 8088 are very similar internally, apart from trivial but numerous layout changes on the die. The biggest differences are in the Bus Interface Unit, the circuitry that communicates with memory and I/O devices, since this circuitry handles 16 bits in the 8086 versus 8 bits in the 8088. There are a few microcode differences between the two chips. One interesting change is that for performance reasons the 8088 has a smaller prefetch queue than the 8086 (four bytes instead of six). (I wrote about the <a href="https://www.righto.com/2023/01/inside-8086-processors-instruction.html">8086's prefetch circuity</a> earlier.)</p> <h2>Prefetching and the architecture of the 8086 and 8088</h2> <p>The 8086 and 8088 were introduced at an interesting point in microprocessor history, when memory was becoming slower than the CPU. For the first microprocessors, the speed of the CPU and the speed of memory were comparable.<span id="fnref:memory-speed"><a class="ref" href="#fn:memory-speed">2</a></span> However, as processors became faster, the speed of memory failed to keep up. The 8086 was probably the first microprocessor to prefetch instructions to improve performance. While modern microprocessors have megabytes of fast cache<span id="fnref:cache"><a class="ref" href="#fn:cache">3</a></span> to act as a buffer between the CPU and much slower main memory, the 8088 has just 4 bytes of prefetch queue. However, this was enough to substantially increase performance.</p> <p>Prefetching had a major impact on the design of the 8086 and thus the 8088. Earlier processors such as the 6502, 8080, or Z80 were deterministic: the processor fetched an instruction, executed the instruction, and so forth. Memory accesses corresponded directly to instruction fetching and execution and instructions took a predictable number of clock cycles. This all changed with the introduction of the prefetch queue. Memory operations became unlinked from instruction execution since prefetches happen as needed and when the memory bus is available.</p> <p>To handle memory operations and instruction execution independently, the implementors of the 8086 and 8088 divided the processors into two processing units: the Bus Interface Unit (BIU) that handles memory accesses, and the Execution Unit (EU) that executes instructions. The Bus Interface Unit contains the instruction prefetch queue; it supplies instructions to the Execution Unit via the Q (queue) bus. The BIU also contains an adder (&Sigma;) for address calculation, adding the segment register base to an address offset, among other things. The Execution Unit is what comes to mind when you think of a processor: it has most of the registers, the arithmetic/logic unit (ALU), and the microcode that implements instructions. The segment registers (CS, DS, SS, ES) and the Instruction Pointer (IP) are in the Bus Interface Unit since they are directly involved in memory accesses, while the general-purpose registers are in the Execution Unit.</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/8088-block-diagram.jpg"><img alt="Block diagram of the 8088 processor. This diagram differs from most 8088 block diagrams because it shows the actual physical implementation, rather than the programmer&#39;s view of the processor. The &quot;Internal Communication Registers&quot; consist of the Indirect Register (IND) and the Operand Register (OPR). These hold a memory address and memory data value respectively. From The 8086 Family User&#39;s Manual page 243." class="hilite" height="600" src="https://static.righto.com/images/8086-prefetch8088/8088-block-diagram-w800.jpg" title="Block diagram of the 8088 processor. This diagram differs from most 8088 block diagrams because it shows the actual physical implementation, rather than the programmer&#39;s view of the processor. The &quot;Internal Communication Registers&quot; consist of the Indirect Register (IND) and the Operand Register (OPR). These hold a memory address and memory data value respectively. From The 8086 Family User&#39;s Manual page 243." width="800" /></a><div class="cite">Block diagram of the 8088 processor. This diagram differs from most 8088 block diagrams because it shows the actual physical implementation, rather than the programmer's view of the processor. The "Internal Communication Registers" consist of the Indirect Register (IND) and the Operand Register (OPR). These hold a memory address and memory data value respectively. From <a href="http://bitsavers.org/components/intel/8086/9800722-03_The_8086_Family_Users_Manual_Oct79.pdf">The 8086 Family User's Manual</a> page 243.</div></p> <p>It may seem inefficient for the Bus Interface Unit to have its own adder instead of using the ALU, but there are reasons for the separate adder. First, every memory access uses the adder at least once to add the segment base and offset. The adder is also used to increment the PC or index registers. Since these operations are so frequent, they would create a bottleneck if they used the ALU. Second, since the Execution Unit and the Bus Interface Unit run asynchronously with respect to each other, it would be complicated to share the ALU without conflicts.</p> <p>Prefetching had another major but little-known effect on the 8086 architecture: the designers were considering making the 8086 a two-chip microprocessor. Prefetching, however, required a one-chip design because the number of control signals required to synchronize prefetching across two chips exceeded the package pins available. This became a compelling argument for the one-chip design that was used for the 8086.<span id="fnref:mckevitt"><a class="ref" href="#fn:mckevitt">4</a></span> (The unsuccessful Intel <a href="https://en.wikipedia.org/wiki/Intel_iAPX_432">iAPX 432</a>, which was under development at the same time, ended up being a two-chip processor: one to fetch and decode instructions, and one to execute them.)</p> <h2>Implementing the queue</h2> <p>The 8088's instruction prefetch queue is implemented with four 8-bit queue registers along with two hardware "pointers" into the queue. One two-bit counter keeps track of the current read position from 0 to 3, i.e. the queue register that will provide the next instruction byte. The second counter keeps track of the current write position, i.e. the queue register that will receive the next instruction from memory.<span id="fnref:read"><a class="ref" href="#fn:read">5</a></span> As bytes are fetched from the queue, the read pointer advances. As bytes are added to the queue, the write pointer advances.</p> <p>The diagram below shows an example queue configuration with two prefetched bytes. The middle two queue registers (Q1 and Q2) hold data. The read pointer indicates that the Execution Unit will get its next byte from Q1. The write pointer indicates that the next prefetched byte will go into Q3.</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/queue-diagram-2.jpg"><img alt="A queue configuration with two bytes in the prefetch queue. Bytes in blue hold prefetched data." class="hilite" height="200" src="https://static.righto.com/images/8086-prefetch8088/queue-diagram-2-w300.jpg" title="A queue configuration with two bytes in the prefetch queue. Bytes in blue hold prefetched data." width="300" /></a><div class="cite">A queue configuration with two bytes in the prefetch queue. Bytes in blue hold prefetched data.</div></p> <p>The diagram below shows how the queue pointers can wrap around. In this configuration, two more bytes have been written to the queue (Q3 and Q0), so the queue is full. The write pointer now points to Q1, the same as the read pointer.</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/queue-diagram-4.jpg"><img alt="A queue configuration with four bytes in the prefetch queue." class="hilite" height="198" src="https://static.righto.com/images/8086-prefetch8088/queue-diagram-4-w300.jpg" title="A queue configuration with four bytes in the prefetch queue." width="300" /></a><div class="cite">A queue configuration with four bytes in the prefetch queue.</div></p> <p>There is an important ambiguity, however. Suppose that four bytes are read from the queue, so the read pointer advances four positions, wrapping around back to Q1. The queue is now empty, as shown below, but the pointers have the same position as the full case above. Thus, if the read pointer and the write pointer both point to the same position, the queue may be empty or full. To distinguish these cases, a flip-flop is set if the queue enters the empty state. This flip-flop generates a signal that Intel called MT (empty).</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/queue-diagram-0.jpg"><img alt="A queue configuration with the queue empty." class="hilite" height="199" src="https://static.righto.com/images/8086-prefetch8088/queue-diagram-0-w300.jpg" title="A queue configuration with the queue empty." width="300" /></a><div class="cite">A queue configuration with the queue empty.</div></p> <p>To determine how many bytes are in the queue, the queue circuitry uses a two-bit queue length value, along with the MT flip-flop value to distinguish the empty state. Conceptually, the queue length is generated by subtracting the read position from the write position. However, the implementation does not use a standard subtraction circuit, but instead uses hardcoded logic to determine the two bits of the length, as shown below.</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/length-logic.png"><img alt="The circuitry to determine the queue length." class="hilite" height="277" src="https://static.righto.com/images/8086-prefetch8088/length-logic-w500.png" title="The circuitry to determine the queue length." width="500" /></a><div class="cite">The circuitry to determine the queue length.</div></p> <p>The low bit of the length is the XOR of the two positions. In NMOS logic (used by the 8088), an AND-NOR gate is easy to implement, while an XOR gate is difficult. Thus, XOR is implemented as shown in the top circuit. (You can verify that if one input is 1 and the other is 0, the output is 1.) The high-order bit of the length is also based on an AND-NOR gate, one with six inputs. Each input is a combination of read and write positions that yields an output bit 1; each input is computed by a NOR gate, which I haven't drawn.<span id="fnref:demorgan"><a class="ref" href="#fn:demorgan">6</a></span> As a result, the amount of logic circuitry to compute the length is fairly large.</p> <p>The diagram below zooms in on the queue control circuitry on the die, with the main flip-flops and circuitry labeled. The circuitry in the middle computes the queue length with the 6-input NOR gate stretched across the whole region. The flip-flops for the read and write positions are in the lower region. Despite the relative simplicity of the queue circuits, they take up a substantial part of the die. Compared to modern chips, the density of the 8088 is very low; you can almost see the flip-flops with the naked eye. But this isn't all the circuitry as prefetching also required queue registers and memory cycle control circuitry. Thus, prefetching was a moderately expensive feature for the 8088, as far as die area.</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/prefetch-die.jpg"><img alt="The queue and prefetch circuitry on the die. The metal layer has been removed for the closeup to show the silicon of the underlying transistors." class="hilite" height="465" src="https://static.righto.com/images/8086-prefetch8088/prefetch-die-w600.jpg" title="The queue and prefetch circuitry on the die. The metal layer has been removed for the closeup to show the silicon of the underlying transistors." width="600" /></a><div class="cite">The queue and prefetch circuitry on the die. The metal layer has been removed for the closeup to show the silicon of the underlying transistors.</div></p> <h2>The loader</h2> <!-- The 8086 processor is implemented with microcode: most 8086 machine instructions are broken down into simple micro-instructions that are stored in the microcode ROM. For example, an ADD instruction is implemented through a sequence of micro-instructions to move the arguments to the Arithmetic/Logic Unit, perform the addition, and store the result. The multiple addressing modes are implemented in micro-instruction subroutines that access index registers and compute the memory address. In 1978 the space available for microcode was limited, so the 8086 designers moved a lot of control logic outside the microcode, including insruction fetching and decoding. The relevant part for this discussion is the instruction fetch and decode loop is implemented outside the microcode. A state machine called the "loader" fetches the first one or two bytes of an instruction. A ROM called the Group Decode ROM does a "high-level" classification of the instruction. Simple instructions (such as clearing the carry flag) or prefixes (such as LOCK or selecting a segment register) are performed directly. More complex instructions are dispatched to the microcode engine, which runs the micro-instructions to carry out the instruction. --> <p>To decode and execute an instruction, the Execution Unit must get instruction bytes from the Bus Interface Unit, but this is not entirely straightforward. The main problem is that the queue can be empty, in which case instruction decoding must block until a byte is available from the queue. The second problem is that instruction decoding is relatively slow so it is pipelined. For maximum performance, the decoder needs a new byte before the current instruction is finished. A circuit called the "loader" solves these problems by providing synchronization between the prefetch queue and the instruction decoder. The loader uses a small state machine to efficiently fetch bytes from the queue at the right time and to provide timing signals to the decoder and microcode engine.</p> <!-- To explain how instructions are fetched, I'll first give a brief overview of 8086 instructions. The 8086 instruction format is fairly complicated, with instructions from one to six bytes long. The first byte is the opcode, specifying the instruction. In some cases, this byte completely specifies the instruction, for example PUSH AX to push the AX register to the stack. Most of the instructions, however, have a second byte that specifies the addressing mode and register: the Mod R/M byte. Depending on the addressing mode selected, this may be followed by an 8- or 16-bit memory displacement. Finally, there can be an 8- or 16-bit immediate operand. --> <p>In more detail, as the loader requests the first two instruction bytes from the prefetch queue, it generates two timing signals that control the microcode execution. The FC (First Clock) indicates that the first instruction byte is available, while the SC (Second Clock) indicates the second instruction byte. Note that the First Clock and Second Clock are not necessarily consecutive clock cycles because the prefetch queue could be empty or contain just one byte, in which case the First Clock and/or Second Clock would be delayed. The instruction decoding circuitry and the microcode engine are controlled by the First Clock and Second Clock signals, so they remain synchronized with the bytes supplied by the prefetch queue.</p> <p>At the end of a microcode sequence, the Run Next Instruction (RNI) micro-operation causes the loader to fetch the next machine instruction. However, fetching and decoding the next instruction is a bit slow so microcode execution would be blocked for a cycle. In many cases, this slowdown can be avoided: if the microcode knows that it is one micro-instruction away from finishing, it issues a Next-to-last (NXT) micro-operation so the loader can start loading the next instruction. This achieves a degree of pipelining in most cases; fetching the next instruction is overlapped with finishing the execution of the previous instruction.</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/loader.png"><img alt="The state machine for the 8086/8088 &quot;loader&quot; circuit. The 1BL signal indicates a 1-byte instruction implemented in logic rather than microcode. From patent US4449184." class="hilite" height="345" src="https://static.righto.com/images/8086-prefetch8088/loader-w400.png" title="The state machine for the 8086/8088 &quot;loader&quot; circuit. The 1BL signal indicates a 1-byte instruction implemented in logic rather than microcode. From patent US4449184." width="400" /></a><div class="cite">The state machine for the 8086/8088 "loader" circuit. The 1BL signal indicates a 1-byte instruction implemented in logic rather than microcode. From <a href="https://patents.google.com/patent/US4449184A">patent US4449184</a>.</div></p> <p>The diagram above shows the state machine for the loader. I won't explain it in detail, but essentially it keeps track of whether it is waiting for a First Clock byte or a Second Clock byte, and if it is performing a fetch in advance (NXT) or at the end of an instruction (RNI). The state machine is implemented with two flip-flops to support its four states.</p> <h2>Microcode and the prefetch queue</h2> <p>The loader takes care of fetching an instruction that consists of an opcode byte and a Mod R/M (addressing mode) byte. However, many instructions have additional bytes or don't follow this format For example, an opcode such as "ADD AX" can be followed by an 8- or 16-bit immediate value, adding that value to the AX register. Or a "move memory to AX" instruction can be followed by a 16-bit memory address The microcode uses a separate mechanism for fetching these instruction bytes from the queue. Specifically, each micro-instruction contains a source register and a destination register that specify a data move. By specifying "Q" (the queue) as the source, a byte is fetched from the prefetch queue. If the queue is empty, microcode execution blocks until the Bus Interface Unit loads a byte into the prefetch queue. Thus, the complexity of instruction fetching and the prefetch queue is invisible to the microcode.<span id="fnref:memory"><a class="ref" href="#fn:memory">7</a></span></p> <p>A jump, subroutine call, or other control flow change causes the prefetch queue to be flushed since the queue contents are no longer useful. This is accomplished in microcode with the <code>FLUSH</code> micro-instruction, which resets the queue read and write pointers and sets the MT (empty) flip-flop. Note that the queue is flushed even if the target address is in the queue, for example if you jump one byte ahead.</p> <p>One complication due to the prefetch queue is that the processor's Instruction Pointer points to the next instruction to be <em>fetched</em>, not the next instruction to be <em>executed</em>. This becomes a problem for a subroutine call, which needs to push the return address. It is also a problem for a relative jump, which is computed from the current instruction. The solution is the <code>CORR</code> micro-instruction, which corrects the Instruction Pointer by subtracting the queue length to determine the current execution position. This is implemented by the Bus Interface Unit, which holds correction constants in the Constant ROM, and subtracts them using the address adder (not the ALU).<span id="fnref:constants"><a class="ref" href="#fn:constants">8</a></span></p> <h2>The queue registers</h2> <p>The 8086 and 8088 partition the registers into upper registers (in the Bus Interface Unit) and lower registers (in the Execution Unit). The upper registers are the registers associated with memory accesses (e.g. Instruction Pointer, segment registers) while the lower registers are more general purpose (e.g. AX, BX, SI, SP). The upper registers are connected to two 16-bit internal buses: the B bus and the C bus.</p> <p>The queue registers are physically part of the upper registers, but are wired into the buses slightly differently, as shown below. In particular, the 8088's queue registers are written 8 bits at a time from the C bus. (In contrast, the 8086's queue registers can be written 16 bits at a time to support two-byte prefetches.) When accessing the queue, the queue registers are read 16 bits at a time, but only one byte is transferred to the Q bus for instruction processing.<span id="fnref:motivation"><a class="ref" href="#fn:motivation">9</a></span></p> <p><a href="https://static.righto.com/images/8086-prefetch8088/queue-regs.jpg"><img alt="The queue registers in the 8088." class="hilite" height="429" src="https://static.righto.com/images/8086-prefetch8088/queue-regs-w270.jpg" title="The queue registers in the 8088." width="270" /></a><div class="cite">The queue registers in the 8088.</div></p> <p>The diagram below shows how the queue registers appear on the die, comparing the six-byte prefetch queue in the 8086 (top) to the four-byte 8088 queue (bottom). The 8086 prefetch registers are structured as three rows of 16-bit registers, while the 8088 prefetch registers are structured as four rows of 8-bit registers. In both cases, each bit is stored in a cross-coupled pair of inverters. The bit lines (not present) are vertical, while the control lines to select a register are horizontal. The layout is different between the processors to support 16-bit versus 8-bit writes. Note the empty space at the bottom of the 8088 registers. Because the rest of the chips are mostly the same, the 8088 couldn't be "compacted" to avoid this wasted space.</p> <p><a href="https://static.righto.com/images/8086-prefetch8088/8086-vs-8088.jpg"><img alt="The prefetch registers in the 8086 (top) and 8088 (bottom). For the 8086, the metal and polysilicon layers were removed, exposing the underlying silicon. For the 8088, the polysilicon and silicon are visible." class="hilite" height="382" src="https://static.righto.com/images/8086-prefetch8088/8086-vs-8088-w600.jpg" title="The prefetch registers in the 8086 (top) and 8088 (bottom). For the 8086, the metal and polysilicon layers were removed, exposing the underlying silicon. For the 8088, the polysilicon and silicon are visible." width="600" /></a><div class="cite">The prefetch registers in the 8086 (top) and 8088 (bottom). For the 8086, the metal and polysilicon layers were removed, exposing the underlying silicon. For the 8088, the polysilicon and silicon are visible.</div></p> <p>Intel used simulations to determine the best queue sizes for the 8086 and 8088, balancing the performance cost of prefetching against the benefit. (The cost is that prefetching makes the bus unavailable for other memory or I/O operations.) The prefetch queue is discarded on a jump instruction or other change of control flow, causing the prefetched bytes to be wasted. Thus, as the queue gets longer, the chance of discarding a prefetched byte becomes larger, so the potential benefit of prefetching becomes smaller. Since the 8088 prefetches one byte at a time, compared to two bytes at a time on the 8086, prefetching on the 8088 costs twice as much as on the 8086 in terms of bus cycles used per byte. This changes the tradeoffs in favor of a shorter queue.</p> <p>Because of the difference in queue lengths, the queue control circuitry is different between the 8086 and 8088. In particular, the 8086 needs three-bit counters for the read and write positions, while the 8088 uses two-bit counters. Because of this, the length computation circuitry is also different between the processors.</p> <p>I plan to continue reverse-engineering the 8088 die so follow me on Twitter <a href="https://twitter.com/kenshirriff">@kenshirriff</a> or <a href="http://www.righto.com/feeds/posts/default">RSS</a> for updates. I've also started experimenting with Mastodon recently as <a href="https://oldbytes.space/@kenshirriff">@oldbytes.space@kenshirriff</a>. If you're interested in the 8086, I wrote about the <a href="http://www.righto.com/2020/06/a-look-at-die-of-8086-processor.html">8086 die</a>, its <a href="https://www.righto.com/2020/06/die-shrink-how-intel-scaled-down-8086.html">die shrink process</a> and the <a href="http://www.righto.com/2020/07/the-intel-8086-processors-registers.html">8086 registers</a> earlier.</p> <h2>Notes and references</h2> <div class="footnote"> <ol> <li id="fn:marketshare"> <p>Whenever I mention x86's domination of the computing market, people bring up ARM, but ARM has a lot more market share in people's minds than in actual numbers. One research firm says that ARM has 15% of the laptop market share in 2023, expected to increase to 25% by 2027. (Surprisingly, Apple only has 90% of the ARM laptop market.) In the server market, just an estimated 8% of CPU shipments in 2023 were ARM. See <a href="https://www.counterpointresearch.com/arm-based-pcs-to-nearly-double-market-share-by-2027/">Arm-based PCs to Nearly Double Market Share by 2027</a> and <a href="https://www.digitimes.com/news/a20230217VL209/amd-arm-digitimes-research-intel-meet-the-analyst.html">Digitimes</a>. (Of course, mobile phones are almost entirely ARM.)&#160;<a class="footnote-backref" href="#fnref:marketshare" title="Jump back to footnote 1 in the text">&#8617;</a></p> </li> <li id="fn:memory-speed"> <p>Steve Furber, co-creator of the ARM chip, mentions that "The first integrated CPUs were coincidentally quite well matched to semiconductor memory speeds, and were therefore built without caches. This can now be seen as a temporary aberration." See <a href="https://amzn.to/3hIasOL">VLSI Risc Architecture and Organization</a> p77. To make this concrete, the Apple II (1977) used a MOS 6502 processor running at about 1 megahertz while its 4116 DRAM chips could perform an access in 250 nanoseconds (4 times the clock speed). The 8088 processor ran at 5-10 MHz which meant that 250 ns DRAM chips were slower than the clock speed. Nowadays, processors run at 4 GHz but DRAM access speed is about 50 nanoseconds (1/200 the clock speed).&#160;<a class="footnote-backref" href="#fnref:memory-speed" title="Jump back to footnote 2 in the text">&#8617;</a></p> </li> <li id="fn:cache"> <p>Modern processors use caches to improve memory performance. Accessing data from a cache is faster than accessing it from main memory, but the tradeoff is that caches are much smaller than main memory. The prefetch queues in the 8086 and 8088 are similar to a cache in some ways, but there are some key differences. First, the prefetch queue is strictly sequential. If you jump ahead two bytes, even if the prefetch queue has those instruction bytes, the processor can't use them. Second, the prefetch queue can't reuse bytes. If you have a 6-byte loop, even though all the code fits in the prefetch queue, it will be reloaded every time. Third, the prefetch queue doesn't provide any consistency. If you modify an instruction in memory a couple of bytes ahead of the PC, the 8086 or 8088 will run the old instruction if it's in the queue.&#160;<a class="footnote-backref" href="#fnref:cache" title="Jump back to footnote 3 in the text">&#8617;</a></p> </li> <li id="fn:mckevitt"> <p>The design decisions for the 8086 prefetch cache (and many other aspects of the chip) are described in: J. McKevitt and J. Bayliss, "New options from big chips," in IEEE Spectrum, vol. 16, no. 3, pp. 28-34, March 1979, doi: 10.1109/MSPEC.1979.6367944. Prefetch provided a 50% performance benefit to the 8086.&#160;<a class="footnote-backref" href="#fnref:mckevitt" title="Jump back to footnote 4 in the text">&#8617;</a></p> </li> <li id="fn:read"> <p>The queue read process doesn't use an explicit read operation. Instead, the selected queue register continuously puts its value onto the queue bus. When the Execution Unit uses this byte, it sends an increment signal to the queue to advance the read pointer. If the queue empty (MT) flip-flop is set, the Execution Unit will wait until a byte is ready.&#160;<a class="footnote-backref" href="#fnref:read" title="Jump back to footnote 5 in the text">&#8617;</a></p> </li> <li id="fn:demorgan"> <p>The NOR gates are used as AND gates, following DeMorgan's laws. For example to produce a 1 output for write position 00 and read position 01, the logic is: <code>NOR(write bit 1', write bit 0', read bit 1', read bit 0)</code>. Note that the bits into the NOR gate are all inverted from the "desired" values; if they are all 0, the NOR output is 1. Thus, there are also some inverters on the inputs.&#160;<a class="footnote-backref" href="#fnref:demorgan" title="Jump back to footnote 6 in the text">&#8617;</a></p> </li> <li id="fn:memory"> <p>Arbitrary memory reads and writes are performed directly on memory, bypassing the prefetch queue. The 8086/8088 do not provide consistency; if you modify an instruction byte in memory and the byte is in the queue, the processor will execute the old byte. (This type of self-modifying code can be used to determine the queue length, distinguishing the 8086 from the 8088 in software.)&#160;<a class="footnote-backref" href="#fnref:memory" title="Jump back to footnote 7 in the text">&#8617;</a></p> </li> <li id="fn:constants"> <p>The Constant ROM is used for more than just address correction. For example, it is also used to increment the Instruction Pointer after a prefetch. Other constants are used for the 8088's string operations, which act on a block of memory. The index registers are incremented or decremented by 1 for bytes or 2 for words. When popping a value from the stack, the stack pointer is decremented using the Constant ROM.&#160;<a class="footnote-backref" href="#fnref:constants" title="Jump back to footnote 8 in the text">&#8617;</a></p> </li> <li id="fn:motivation"> <p>Are the 8088's queue registers 16 bits wide or 8 bits wide? It's ambiguous, since the registers are written 8 bits at a time, but read 16 bits at a time. This implementation was probably selected to support the 8088's 8-bit bus while reusing as much of the 8086 design as possible. In particular, the 8088 can only prefetch one byte at a time, so writes need to happen a byte at a time. Thus, there are four control lines selecting which queue byte is written. (The 8088 could write to half of a 16-bit register but that would require moving the prefetched byte to the correct half of a 16-bit bus.) On the read side, it would make sense to have four read lines, selecting one byte from the 8088's queue. However, since the 8086 already had a multiplexer to select one byte from two, the 8088 designers probably felt it was easier to keep that circuit. And with the smaller queue on the 8088, there was no need to try to save space by removing the circuit. Thus, the queue has two read-select lines and a multiplexer control line. All these lines are controlled by the write position and read position flip-flops.&#160;<a class="footnote-backref" href="#fnref:motivation" title="Jump back to footnote 9 in the text">&#8617;</a></p> </li> </ol> </div> <div style='clear: both;'></div> </div> <div class='post-footer'> <div class='post-footer-line post-footer-line-1'><span class='post-comment-link'> <a class='comment-link' href='https://www.blogger.com/comment/fullpage/post/6264947694886887540/6945380884103902536' onclick=''> 10 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/6264947694886887540/6945380884103902536' title='Email Post'> <img alt='' class='icon-action' height='13' src='http://img1.blogblog.com/img/icon18_email.gif' width='18'/> </a> </span> <span class='item-control blog-admin pid-1138732533'> <a href='https://www.blogger.com/post-edit.g?blogID=6264947694886887540&postID=6945380884103902536&from=pencil' title='Edit Post'> <img alt='' class='icon-action' height='18' src='https://resources.blogblog.com/img/icon18_edit_allbkg.gif' width='18'/> </a> </span> </span> <span class='post-backlinks post-comment-link'> </span> <div class='post-share-buttons goog-inline-block'> <a class='goog-inline-block share-button sb-email' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=6945380884103902536&target=email' target='_blank' title='Email This'><span class='share-button-link-text'>Email This</span></a><a class='goog-inline-block share-button sb-blog' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=6945380884103902536&target=blog' onclick='window.open(this.href, "_blank", "height=270,width=475"); return false;' target='_blank' title='BlogThis!'><span class='share-button-link-text'>BlogThis!</span></a><a class='goog-inline-block share-button sb-twitter' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=6945380884103902536&target=twitter' target='_blank' title='Share to X'><span class='share-button-link-text'>Share to X</span></a><a class='goog-inline-block share-button sb-facebook' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=6945380884103902536&target=facebook' onclick='window.open(this.href, "_blank", "height=430,width=640"); return false;' target='_blank' title='Share to Facebook'><span class='share-button-link-text'>Share to Facebook</span></a><a class='goog-inline-block share-button sb-pinterest' href='https://www.blogger.com/share-post.g?blogID=6264947694886887540&postID=6945380884103902536&target=pinterest' target='_blank' title='Share to Pinterest'><span class='share-button-link-text'>Share to Pinterest</span></a> </div> </div> <div class='post-footer-line post-footer-line-2'><span class='post-labels'> Labels: <a href='http://www.righto.com/search/label/8086' rel='tag'>8086</a>, <a href='http://www.righto.com/search/label/8088' rel='tag'>8088</a>, <a href='http://www.righto.com/search/label/intel' rel='tag'>intel</a>, <a href='http://www.righto.com/search/label/reverse-engineering' rel='tag'>reverse-engineering</a> </span> </div> <div class='post-footer-line post-footer-line-3'></div> </div> </div> </div> </div></div> </div> <div class='blog-pager' id='blog-pager'> <span id='blog-pager-newer-link'> <a class='blog-pager-newer-link' href='http://www.righto.com/search?updated-max=2024-09-01T09:10:00-07:00&max-results=7&reverse-paginate=true' id='Blog1_blog-pager-newer-link' title='Newer Posts'>Newer Posts</a> </span> <span id='blog-pager-older-link'> <a class='blog-pager-older-link' href='http://www.righto.com/search?updated-max=2024-03-22T20:20:00-07:00&max-results=7' id='Blog1_blog-pager-older-link' title='Older Posts'>Older Posts</a> </span> <a class='home-link' href='http://www.righto.com/'>Home</a> </div> <div class='clear'></div> </div></div> </div> </div> <div class='column-left-outer'> <div class='column-left-inner'> <aside> </aside> </div> </div> <div class='column-right-outer'> <div class='column-right-inner'> <aside> <div class='sidebar section' id='sidebar-right-1'><div class='widget HTML' data-version='1' id='HTML2'> <div class='widget-content'> <style> @import url('https://fonts.googleapis.com/css?family=Montserrat:300,400,500,700'); .form-preview { display: flex; flex-direction: column; justify-content: center; margin-top: 30px; padding: clamp(17px, 5%, 40px) clamp(17px, 7%, 50px); max-width: 350px; min-height: 200px; border-radius: 6px; box-shadow: 0 5px 25px rgba(34, 60, 47, 0.25); } .form-preview, .form-preview *{ box-sizing: border-box; } .form-preview .preview-heading { width: 100%; } .form-preview .preview-heading h5{ margin-top: 0; margin-bottom: 0; } .form-preview .preview-input-field { margin-top: 20px; width: 100%; } .form-preview .preview-input-field input { width: 100%; height: 40px; border-radius: 6px; border: 2px solid #e9e8e8; background-color: #fff; outline: none; } .form-preview .preview-input-field input::placeholder, .form-preview .preview-input-field input { opacity: 0.5; color: #000; font-family: "Montserrat"; font-size: 14px; font-weight: 500; line-height: 20px; text-align: center; } .form-preview .preview-submit-button { margin-top: 10px; width: 100%; } .form-preview .preview-submit-button button { width: 100%; height: 40px; border: 0; border-radius: 6px; line-height: 0px; } .form-preview .preview-submit-button button:hover { cursor: pointer; } </style><form data-v-4c58e686="" action="https://api.follow.it/subscription-form/U3NBTmZKVkI1YVpCa000a0RCZHFiQ3FYMko1cWRTZTN6K3hJdWM2QWxJbE1uVXdXUHZZVzJVQzVLZGh5Y0RCVXB2d2JSTzBobGhuY0FsZnlHbVdFZ2VTN2Q4Vy84RnIxUTgzVlcrbXNIR0Y0aW93d3REM2J6VS9RL0gxWURnV1d8ZWN0YStwUWdWWUFiOTIyWDVGWjdYYVdGZEVNcC9qODZacjlwWXRIcEJQRT0=/8" method="post"><div data-v-4c58e686="" class="form-preview" style="background-color: rgb(255, 255, 255); border-style: solid; border-width: 1px; border-color: rgb(204, 204, 204); position: relative;"><div data-v-4c58e686="" class="preview-heading"><h5 data-v-4c58e686="" style="font-family: Montserrat; font-weight: bold; color: rgb(0, 0, 0); font-size: 12px; text-align: center;">Get new posts by email:</h5></div> <div data-v-4c58e686="" class="preview-input-field"><input data-v-4c58e686="" type="email" name="email" placeholder="Enter your email" spellcheck="false" /></div> <div data-v-4c58e686="" class="preview-submit-button"><button data-v-4c58e686="" type="submit" style="font-family: Montserrat; font-weight: bold; color: rgb(255, 255, 255); font-size: 12px; text-align: center; background-color: rgb(0, 0, 0);">Subscribe</button></div></div></form> </div> <div class='clear'></div> </div><div class='widget HTML' data-version='1' id='HTML3'> <h2 class='title'>About the site</h2> <div class='widget-content'> <a href="https://www.righto.com/p/index.html">Contact info and site index</a> </div> <div class='clear'></div> </div><div class='widget PopularPosts' data-version='1' id='PopularPosts1'> <h2>Popular Posts</h2> <div class='widget-content popular-posts'> <ul> <li> <div class='item-thumbnail-only'> <div class='item-thumbnail'> <a href='http://www.righto.com/2025/03/mother-of-all-demos-usb-keyset-interface.html' target='_blank'> <img alt='' border='0' src='https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tcwnL071esx54eYe34ki21G874ZrkjdrzbbJm03KtoB8tJy64bnsB2NG-fyqsH49Ey8LZjlW3SvmI-vqZkR7dVgra7ERhxZ4XBNlNb8yHfbxRvmvvjkF_JHwhvEt9ytIw=w72-h72-p-k-no-nu'/> </a> </div> <div class='item-title'><a href='http://www.righto.com/2025/03/mother-of-all-demos-usb-keyset-interface.html'>A USB interface to the "Mother of All Demos" keyset</a></div> </div> <div style='clear: both;'></div> </li> <li> <div class='item-thumbnail-only'> <div class='item-thumbnail'> <a href='http://www.righto.com/2025/03/pentium-microcde-rom-circuitry.html' target='_blank'> <img alt='' border='0' src='https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sFyNCt40dq30_oMNPBY6RH1ERnSp09NC4gR4AKPsAUNlzZnml7NLytg6hxXacTsrh_s_S4zmaX8pfYP0pp6L5buIJPbhnarCVVydlGChEjHtzgEtPxQ1FmNytAbuHsnyUNKDlsMmfbKVePeIpW9so=w72-h72-p-k-no-nu'/> </a> </div> <div class='item-title'><a href='http://www.righto.com/2025/03/pentium-microcde-rom-circuitry.html'>Notes on the Pentium's microcode circuitry</a></div> </div> <div style='clear: both;'></div> </li> <li> <div class='item-thumbnail-only'> <div class='item-thumbnail'> <a href='http://www.righto.com/2025/03/pentium-multiplier-adder-reverse-engineered.html' target='_blank'> <img alt='' border='0' src='https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_u1-UcBQkWRglUd-QW54TbQhxKZaDFPzjy1Td0l6hm4Q3Wt4BWw5u8MGspNswVSHl96ox41fHtpTOLLkvJpTjrCHZ0KSQSfmpL2T3AxqQ1AmAtfBG9JTq8QGDjyaQPoK4DjQ2YAHl1ftCR5=w72-h72-p-k-no-nu'/> </a> </div> <div class='item-title'><a href='http://www.righto.com/2025/03/pentium-multiplier-adder-reverse-engineered.html'>The Pentium contains a complicated circuit to multiply by three</a></div> </div> <div style='clear: both;'></div> </li> <li> <div class='item-thumbnail-only'> <div class='item-thumbnail'> <a href='http://www.righto.com/2024/05/blog-post.html' target='_blank'> <img alt='' border='0' src='https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tar_9VPbPCPZuNDUT7RDEmWGYMIakIqp7l2mQSKebXu5v45fgMTeTsrg1L9ikrcsCZRO17o61mrgRNRLR7XQ5752YK39QezItC0CxWuZum_DssaEVf5kE-PbN-aO7xRMezhH7DlKm3dLU6ZacVqYLS=w72-h72-p-k-no-nu'/> </a> </div> <div class='item-title'><a href='http://www.righto.com/2024/05/blog-post.html'>Inside a vintage aerospace navigation computer of uncertain purpose</a></div> </div> <div style='clear: both;'></div> </li> <li> <div class='item-thumbnail-only'> <div class='item-thumbnail'> <a href='http://www.righto.com/2009/08/multi-protocol-infrared-remote-library.html' target='_blank'> <img alt='' border='0' src='https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_t9Q3qtOr7bzMc-_NHTmLPZQXdqvGGwHz2jBxmIvtb3PBmuLhIN88gMQAhvd5YWgESk8ISVFmC0ad42zUbq955Z7yJepqIFHcY4hz--fHydypw=w72-h72-p-k-no-nu'/> </a> </div> <div class='item-title'><a href='http://www.righto.com/2009/08/multi-protocol-infrared-remote-library.html'>A Multi-Protocol Infrared Remote Library for the Arduino</a></div> </div> <div style='clear: both;'></div> </li> <li> <div class='item-thumbnail-only'> <div class='item-thumbnail'> <a href='http://www.righto.com/2012/10/a-dozen-usb-chargers-in-lab-apple-is.html' target='_blank'> <img alt='' border='0' src='https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vCQ3WgO5Q-mwQnym0QhxGcp-V7OYLDAHh7OML5bN9aiUE5p77QcSsc60GL7Y06zEnljA7TxzQ6wvWQVKDDsGOB7TMlL3INMXmnn6S1Nzu8ci9jQne2Lu_QjXanNag=w72-h72-p-k-no-nu'/> </a> </div> <div class='item-title'><a href='http://www.righto.com/2012/10/a-dozen-usb-chargers-in-lab-apple-is.html'>A dozen USB chargers in the lab: Apple is very good, but not quite the best</a></div> </div> <div style='clear: both;'></div> </li> <li> <div class='item-thumbnail-only'> <div class='item-thumbnail'> <a href='http://www.righto.com/2012/05/apple-iphone-charger-teardown-quality.html' target='_blank'> <img alt='' border='0' src='https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sbM_2AfWpP0Uf8gGky9LySPEaag_NaEoASO2qJIVfI0lAlsLmJF673UG3EZJEsc2t3YKkKjIAHec95TFhpWF2eHHAPTwkK37ylXngxFJrbJCq8itWnDhTMHj1HhKRIXZ4ebW7pYlDUMHXUk14nD7Numxg=w72-h72-p-k-no-nu'/> </a> </div> <div class='item-title'><a href='http://www.righto.com/2012/05/apple-iphone-charger-teardown-quality.html'>Apple iPhone charger teardown: quality in a tiny expensive package</a></div> </div> <div style='clear: both;'></div> </li> <li> <div class='item-thumbnail-only'> <div class='item-thumbnail'> <a href='http://www.righto.com/2014/09/mining-bitcoin-with-pencil-and-paper.html' target='_blank'> <img alt='' border='0' src='https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tfsvC_Cmd22xt842b8SaQEkP9IGghtaF7nbEZwjaLT4Izo3e9Ucfj_nXB3jIG5X3HJ8EFBACWY4ZYRS4rLIYDG5KWyYO5J7qvmdasq_Tu87gA0njKjzkSBd9WvfUBrzJVf=w72-h72-p-k-no-nu'/> </a> </div> <div class='item-title'><a href='http://www.righto.com/2014/09/mining-bitcoin-with-pencil-and-paper.html'>Mining Bitcoin with pencil and paper: 0.67 hashes per day</a></div> </div> <div style='clear: both;'></div> </li> </ul> <div class='clear'></div> </div> </div><div class='widget BlogSearch' data-version='1' id='BlogSearch1'> <h2 class='title'>Search This Blog</h2> <div class='widget-content'> <div id='BlogSearch1_form'> <form action='http://www.righto.com/search' class='gsc-search-box' target='_top'> <table cellpadding='0' cellspacing='0' class='gsc-search-box'> <tbody> <tr> <td class='gsc-input'> <input autocomplete='off' class='gsc-input' name='q' size='10' title='search' type='text' value=''/> </td> <td class='gsc-search-button'> <input class='gsc-search-button' title='search' type='submit' value='Search'/> </td> </tr> </tbody> </table> </form> </div> </div> <div class='clear'></div> </div><div class='widget Label' data-version='1' id='Label1'> <h2>Labels</h2> <div class='widget-content cloud-label-widget-content'> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/386'>386</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/6502'>6502</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/8008'>8008</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/8085'>8085</a> </span> <span class='label-size label-size-4'> <a dir='ltr' href='http://www.righto.com/search/label/8086'>8086</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/8087'>8087</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/8088'>8088</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/aerospace'>aerospace</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/alto'>alto</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/analog'>analog</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/Apollo'>Apollo</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/apple'>apple</a> </span> <span class='label-size label-size-4'> <a dir='ltr' href='http://www.righto.com/search/label/arc'>arc</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/arduino'>arduino</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/arm'>arm</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/beaglebone'>beaglebone</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/bitcoin'>bitcoin</a> </span> <span class='label-size label-size-1'> <a dir='ltr' href='http://www.righto.com/search/label/c%23'>c#</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/cadc'>cadc</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/calculator'>calculator</a> </span> <span class='label-size label-size-4'> <a dir='ltr' href='http://www.righto.com/search/label/chips'>chips</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/css'>css</a> </span> <span class='label-size label-size-1'> <a dir='ltr' href='http://www.righto.com/search/label/datapoint'>datapoint</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/dx7'>dx7</a> </span> <span class='label-size label-size-5'> <a dir='ltr' href='http://www.righto.com/search/label/electronics'>electronics</a> </span> <span class='label-size label-size-1'> <a dir='ltr' href='http://www.righto.com/search/label/f%23'>f#</a> </span> <span class='label-size label-size-1'> <a dir='ltr' href='http://www.righto.com/search/label/fairchild'>fairchild</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/fpga'>fpga</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/fractals'>fractals</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/genome'>genome</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/globus'>globus</a> </span> <span class='label-size label-size-1'> <a dir='ltr' href='http://www.righto.com/search/label/haskell'>haskell</a> </span> <span class='label-size label-size-1'> <a dir='ltr' href='http://www.righto.com/search/label/HP'>HP</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/html5'>html5</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/ibm'>ibm</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/ibm1401'>ibm1401</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/ibm360'>ibm360</a> </span> <span class='label-size label-size-4'> <a dir='ltr' href='http://www.righto.com/search/label/intel'>intel</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/ipv6'>ipv6</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/ir'>ir</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/java'>java</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/javascript'>javascript</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/math'>math</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/microcode'>microcode</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/oscilloscope'>oscilloscope</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/Pentium'>Pentium</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/photo'>photo</a> </span> <span class='label-size label-size-4'> <a dir='ltr' href='http://www.righto.com/search/label/power%20supply'>power supply</a> </span> <span class='label-size label-size-4'> <a dir='ltr' href='http://www.righto.com/search/label/random'>random</a> </span> <span class='label-size label-size-5'> <a dir='ltr' href='http://www.righto.com/search/label/reverse-engineering'>reverse-engineering</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/sheevaplug'>sheevaplug</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/snark'>snark</a> </span> <span class='label-size label-size-3'> <a dir='ltr' href='http://www.righto.com/search/label/space'>space</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/spanish'>spanish</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/synth'>synth</a> </span> <span class='label-size label-size-4'> <a dir='ltr' href='http://www.righto.com/search/label/teardown'>teardown</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/theory'>theory</a> </span> <span class='label-size label-size-1'> <a dir='ltr' href='http://www.righto.com/search/label/unicode'>unicode</a> </span> <span class='label-size label-size-2'> <a dir='ltr' href='http://www.righto.com/search/label/Z-80'>Z-80</a> </span> <div class='clear'></div> </div> </div><div class='widget BlogArchive' data-version='1' id='BlogArchive1'> <h2>Blog Archive</h2> <div class='widget-content'> <div id='ArchiveList'> <div id='BlogArchive1_ArchiveList'> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2025/'> 2025 </a> <span class='post-count' dir='ltr'>(8)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2025/03/'> March </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2025/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2025/01/'> January </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate expanded'> <a class='toggle' href='javascript:void(0)'> <span class='zippy toggle-open'> &#9660;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/'> 2024 </a> <span class='post-count' dir='ltr'>(21)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/12/'> December </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/11/'> November </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/10/'> October </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/09/'> September </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/08/'> August </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/07/'> July </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/06/'> June </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate expanded'> <a class='toggle' href='javascript:void(0)'> <span class='zippy toggle-open'> &#9660;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/03/'> March </a> <span class='post-count' dir='ltr'>(2)</span> <ul class='posts'> <li><a href='http://www.righto.com/2024/03/idt-gate-array.html'>Inside an unusual 7400-series chip implemented wit...</a></li> <li><a href='http://www.righto.com/2024/03/8088-prefetch-circuitry.html'>The Intel 8088 processor&#39;s instruction prefetch ci...</a></li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/02/'> February </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2024/01/'> January </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/'> 2023 </a> <span class='post-count' dir='ltr'>(35)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/12/'> December </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/11/'> November </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/10/'> October </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/09/'> September </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/08/'> August </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/07/'> July </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/03/'> March </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/02/'> February </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2023/01/'> January </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/'> 2022 </a> <span class='post-count' dir='ltr'>(18)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/11/'> November </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/07/'> July </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/06/'> June </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/04/'> April </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/03/'> March </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/02/'> February </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2022/01/'> January </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/'> 2021 </a> <span class='post-count' dir='ltr'>(26)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/12/'> December </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/11/'> November </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/09/'> September </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/07/'> July </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/06/'> June </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/03/'> March </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/02/'> February </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2021/01/'> January </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/'> 2020 </a> <span class='post-count' dir='ltr'>(33)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/12/'> December </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/11/'> November </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/10/'> October </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/09/'> September </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/08/'> August </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/07/'> July </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/06/'> June </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/05/'> May </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/03/'> March </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2020/01/'> January </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/'> 2019 </a> <span class='post-count' dir='ltr'>(18)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/11/'> November </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/10/'> October </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/09/'> September </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/07/'> July </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2019/01/'> January </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/'> 2018 </a> <span class='post-count' dir='ltr'>(17)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/12/'> December </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/09/'> September </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/06/'> June </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/03/'> March </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2018/01/'> January </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/'> 2017 </a> <span class='post-count' dir='ltr'>(21)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/12/'> December </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/11/'> November </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/10/'> October </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/07/'> July </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/06/'> June </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/04/'> April </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/03/'> March </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2017/01/'> January </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/'> 2016 </a> <span class='post-count' dir='ltr'>(34)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/12/'> December </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/10/'> October </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/09/'> September </a> <span class='post-count' dir='ltr'>(8)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/08/'> August </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/07/'> July </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/06/'> June </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/03/'> March </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/02/'> February </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2016/01/'> January </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2015/'> 2015 </a> <span class='post-count' dir='ltr'>(12)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2015/12/'> December </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2015/11/'> November </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2015/10/'> October </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2015/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2015/05/'> May </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2015/03/'> March </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2015/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2014/'> 2014 </a> <span class='post-count' dir='ltr'>(13)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2014/12/'> December </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2014/10/'> October </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2014/09/'> September </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2014/05/'> May </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2014/03/'> March </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2014/02/'> February </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/'> 2013 </a> <span class='post-count' dir='ltr'>(24)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/11/'> November </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/09/'> September </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/08/'> August </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/07/'> July </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/06/'> June </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/03/'> March </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/02/'> February </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/01/'> January </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2012/'> 2012 </a> <span class='post-count' dir='ltr'>(10)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2012/12/'> December </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2012/11/'> November </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2012/10/'> October </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2012/05/'> May </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2012/03/'> March </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2012/02/'> February </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2011/'> 2011 </a> <span class='post-count' dir='ltr'>(11)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2011/12/'> December </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2011/07/'> July </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2011/05/'> May </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2011/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2011/03/'> March </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2011/02/'> February </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/'> 2010 </a> <span class='post-count' dir='ltr'>(22)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/12/'> December </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/11/'> November </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/10/'> October </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/08/'> August </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/06/'> June </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/05/'> May </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/04/'> April </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/03/'> March </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2010/01/'> January </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/'> 2009 </a> <span class='post-count' dir='ltr'>(22)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/12/'> December </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/11/'> November </a> <span class='post-count' dir='ltr'>(5)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/09/'> September </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/08/'> August </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/07/'> July </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/06/'> June </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/04/'> April </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/03/'> March </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/02/'> February </a> <span class='post-count' dir='ltr'>(2)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2009/01/'> January </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2008/'> 2008 </a> <span class='post-count' dir='ltr'>(27)</span> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2008/07/'> July </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2008/06/'> June </a> <span class='post-count' dir='ltr'>(1)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2008/05/'> May </a> <span class='post-count' dir='ltr'>(3)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2008/04/'> April </a> <span class='post-count' dir='ltr'>(4)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2008/03/'> March </a> <span class='post-count' dir='ltr'>(10)</span> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> &#9658;&#160; </span> </a> <a class='post-count-link' href='http://www.righto.com/2008/02/'> February </a> <span class='post-count' dir='ltr'>(6)</span> </li> </ul> </li> </ul> </div> </div> <div class='clear'></div> </div> </div></div> </aside> </div> </div> </div> <div style='clear: both'></div> <!-- columns --> </div> <!-- main --> </div> </div> <div class='main-cap-bottom cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> <footer> <div class='footer-outer'> <div class='footer-cap-top cap-top'> <div class='cap-left'></div> <div class='cap-right'></div> </div> <div class='fauxborder-left footer-fauxborder-left'> <div class='fauxborder-right footer-fauxborder-right'></div> <div class='region-inner footer-inner'> <div class='foot no-items section' id='footer-1'></div> <table border='0' cellpadding='0' cellspacing='0' class='section-columns columns-2'> <tbody> <tr> <td class='first columns-cell'> <div class='foot no-items section' id='footer-2-1'></div> </td> <td class='columns-cell'> <div class='foot no-items section' id='footer-2-2'></div> </td> </tr> </tbody> </table> <!-- outside of the include in order to lock Attribution widget --> <div class='foot section' id='footer-3'><div class='widget Attribution' data-version='1' id='Attribution1'> <div class='widget-content' style='text-align: center;'> Powered by <a href='https://www.blogger.com' target='_blank'>Blogger</a>. </div> <div class='clear'></div> </div></div> </div> </div> <div class='footer-cap-bottom cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> </footer> <!-- content --> </div> </div> <div class='content-cap-bottom cap-bottom'> <div class='cap-left'></div> <div class='cap-right'></div> </div> </div> </div> <script type='text/javascript'> window.setTimeout(function() { document.body.className = document.body.className.replace('loading', ''); }, 10); </script> <script type="text/javascript" src="https://www.blogger.com/static/v1/widgets/2806328968-widgets.js"></script> <script type='text/javascript'> window['__wavt'] = 'AOuZoY5JlgzeiPARjuhsGKQnwKRB9USUhg:1743925312225';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d6264947694886887540','//www.righto.com/2024/03/','6264947694886887540'); _WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '6264947694886887540', 'title': 'Ken Shirriff\x27s blog', 'url': 'http://www.righto.com/2024/03/', 'canonicalUrl': 'http://www.righto.com/2024/03/', 'homepageUrl': 'http://www.righto.com/', 'searchUrl': 'http://www.righto.com/search', 'canonicalHomepageUrl': 'http://www.righto.com/', 'blogspotFaviconUrl': 'http://www.righto.com/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': true, 'httpsEnabled': false, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': 'UA-3782444-1', 'encoding': 'UTF-8', 'locale': 'en', 'localeUnderscoreDelimited': 'en', 'languageDirection': 'ltr', 'isPrivate': false, 'isMobile': false, 'isMobileRequest': false, 'mobileClass': '', 'isPrivateBlog': false, 'isDynamicViewsAvailable': true, 'feedLinks': '\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22Ken Shirriff\x26#39;s blog - Atom\x22 href\x3d\x22http://www.righto.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22Ken Shirriff\x26#39;s blog - RSS\x22 href\x3d\x22http://www.righto.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22Ken Shirriff\x26#39;s blog - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/6264947694886887540/posts/default\x22 /\x3e\n', 'meTag': '', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': false, 'adsenseAutoAds': false, 'boqCommentIframeForm': true, 'loginRedirectParam': '', 'view': '', 'dynamicViewsCommentsSrc': '//www.blogblog.com/dynamicviews/4224c15c4e7c9321/js/comments.js', 'dynamicViewsScriptSrc': '//www.blogblog.com/dynamicviews/c4ef6ff9ae7c94eb', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': 'Get link', 'key': 'link', 'shareMessage': 'Get link', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': 'Share to Facebook', 'target': 'facebook'}, {'name': 'BlogThis!', 'key': 'blogThis', 'shareMessage': 'BlogThis!', 'target': 'blog'}, {'name': 'X', 'key': 'twitter', 'shareMessage': 'Share to X', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': 'Share to Pinterest', 'target': 'pinterest'}, {'name': 'Email', 'key': 'email', 'shareMessage': 'Email', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27en\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': false, 'jumpLinkMessage': 'Read more', 'pageType': 'archive', 'pageName': 'March 2024', 'pageTitle': 'Ken Shirriff\x27s blog: March 2024'}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': 'Edit', 'linkCopiedToClipboard': 'Link copied to clipboard!', 'ok': 'Ok', 'postLink': 'Post Link'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': 'Custom', 'isResponsive': false, 'isAlternateRendering': false, 'isCustom': true}}, {'name': 'view', 'data': {'classic': {'name': 'classic', 'url': '?view\x3dclassic'}, 'flipcard': {'name': 'flipcard', 'url': '?view\x3dflipcard'}, 'magazine': {'name': 'magazine', 'url': '?view\x3dmagazine'}, 'mosaic': {'name': 'mosaic', 'url': '?view\x3dmosaic'}, 'sidebar': {'name': 'sidebar', 'url': '?view\x3dsidebar'}, 'snapshot': {'name': 'snapshot', 'url': '?view\x3dsnapshot'}, 'timeslide': {'name': 'timeslide', 'url': '?view\x3dtimeslide'}, 'isMobile': false, 'title': 'Ken Shirriff\x27s blog', 'description': 'Computer history, restoring vintage computers, IC reverse engineering, and whatever', 'url': 'http://www.righto.com/2024/03/', 'type': 'feed', 'isSingleItem': false, 'isMultipleItems': true, 'isError': false, 'isPage': false, 'isPost': false, 'isHomepage': false, 'isArchive': true, 'isLabelSearch': false, 'archive': {'year': 2024, 'month': 3, 'rangeMessage': 'Showing posts from March, 2024'}}}]); _WidgetManager._RegisterWidget('_HeaderView', new _WidgetInfo('Header1', 'header', document.getElementById('Header1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'main', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML2', 'sidebar-right-1', document.getElementById('HTML2'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML3', 'sidebar-right-1', document.getElementById('HTML3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PopularPostsView', new _WidgetInfo('PopularPosts1', 'sidebar-right-1', document.getElementById('PopularPosts1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogSearchView', new _WidgetInfo('BlogSearch1', 'sidebar-right-1', document.getElementById('BlogSearch1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label1', 'sidebar-right-1', document.getElementById('Label1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogArchiveView', new _WidgetInfo('BlogArchive1', 'sidebar-right-1', document.getElementById('BlogArchive1'), {'languageDirection': 'ltr', 'loadingMessage': 'Loading\x26hellip;'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_AttributionView', new _WidgetInfo('Attribution1', 'footer-3', document.getElementById('Attribution1'), {}, 'displayModeFull')); </script> </body> </html>

Pages: 1 2 3 4 5 6 7 8 9 10