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Ken Shirriff's blog: July 2013
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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='//static.righto.com/images/8085/alu_details-s700.png' itemprop='image_url'/> <meta content='6264947694886887540' itemprop='blogId'/> <meta content='3643027845211057574' itemprop='postId'/> <a name='3643027845211057574'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://www.righto.com/2013/07/reverse-engineering-8085s-alu-and-its.html'>Reverse-engineering the 8085's ALU and its hidden registers</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-3643027845211057574' itemprop='description articleBody'> <style type="text/css"> table.alulogic { border-collapse: collapse; margin: 5px; } table.alulogic th, table.alulogic tr, table.alulogic td { border: 1px solid gray; padding: 5px; text-align: center; } table.control td { text-align: left; vertical-align: top; font-size: 90%; } table.control td + td { font-size: 80%; } </style> This article describes how the ALU of the 8085 microprocessor works and how it interacts with the rest of the chip, based on reverse-engineering of the silicon. (This is part 2 of my ALU reverse-engineering; <a href="http://www.righto.com/2013/01/inside-alu-of-8085-microprocessor.html">part 1</a> described the circuit for a single ALU bit.) Along with the accumulator, the ALU uses two undocumented registers - ACT and TMP - and this article describes how they work in detail, as well as how the ALU is controlled. <p> The arithmetic-logic unit is a key part of the microprocessor, performing operations and comparisons on data. In the 8085, the ALU is also a key part of the data path for moving data. The ALU and associated registers take up a fairly large part of the chip, the upper left of the photomicrograph image below. The control circuitry for the ALU is in the top center of the image. The data bus (dbus) is indicated in blue. <p> <a href="//static.righto.com/images/8085/alu_details.png"><img alt="Photograph of the 8085 chip showing the location of the ALU, flags, and registers." class="hilite" src="//static.righto.com/images/8085/alu_details-s700.png" title="Photograph of the 8085 chip showing the location of the ALU, flags, and registers." width="700"> </a> <p> <div class="cite"> Photograph of the 8085 chip showing the location of the ALU, flags, and registers. </div> <p> <h2>The real architecture of the 8085 ALU</h2> The following architecture diagram shows how the ALU interacts with the rest of the 8085 at the block-diagram level. The data bus (dbus) conneccts the ALU and associated registers with the rest of the 8085 microprocessor. There are also numerous control lines, which are not shown. <p> The ALU uses two temporary registers that are not directly visible to the programmer. The Accumulator Temporary register (ACT) holds the accumulator value while an ALU operation is performed. This allows the accumulator to be updated with the new value without causing a race condition. The second temporary register (TMP) holds the other argument for the ALU operation. The TMP register typically holds a value from memory or another register. <p> <a href="//static.righto.com/images/8085/alu_arch.png"><img alt="Architecture of the 8085 ALU as determined from reverse-engineering." class="hilite" src="//static.righto.com/images/8085/alu_arch-s400.png" title="Architecture of the 8085 ALU as determined from reverse-engineering." width="400"> </a> <p> <div class="cite"> Architecture of the 8085 ALU as determined from reverse-engineering. </div> <p> The <a href="http://www.scribd.com/doc/67883632/8085-Datasheet">8085 datasheet</a> has an architecture diagram that is simplified and not quite correct. In particular, the ACT register is omitted and a data path from the data bus to the accumulator is shown, even though that path doesn't exist. <h2>The accumulator and ACT registers</h2> To the programmer, the accumulator is the key register for arithmetic operations. Reverse-engineering, however, shows the accumulator is not connected directly to the ALU, but works closely with the ACT (accumulator temporary) register. <p> The ACT register has several important functions. First, it holds the input to the ALU. This allows the results from the ALU to be written back to the accumulator without disturbing the input, which would cause instability. Second, the ACT can hold constant values (e.g. for incrementing or decrementing, or decimal adjustment) without affecting the accumulator. Finally, the ACT allows ALU operations that don't use the accumulator. <p> <a href="//static.righto.com/images/8085/register_a_act.png"><img alt="The accumulator and ACT (Accumulator Temporary) registers and their control lines in the 8085 microprocessor." class="hilite" src="//static.righto.com/images/8085/register_a_act-s600.png" title="The accumulator and ACT (Accumulator Temporary) registers and their control lines in the 8085 microprocessor." width="600"> </a> <p> <div class="cite"> The accumulator and ACT (Accumulator Temporary) registers and their control lines in the 8085 microprocessor. </div> <p> The diagram above shows how the accumulator and ACT registers are connected, and the control lines that affect them. One surprise is that the only way to put a value into the accumulator is through the ALU. This is controlled by the <code>alu_to_a</code> control line. You might expect that if you load a value into the accumulator, it would go directly from the data bus to the accumulator. Instead, the value is OR'd with 0 in the ALU and the result is stored in the accumulator. <p> The accumulator has two status outputs: <code>a_hi_ge_10</code>, if the four high-order bits are ≥ 10, and <code>a_lo_ge_10</code>, if the four low-order bits are ≥ 10. These outputs are used for decimal arithmetic, and will be explained in another article. <p> The accumulator value or the ALU result can be written to the databus through the <code>sel_alu_a</code> control (which selects between the ALU result and the accumulator), and the <code>alu/a_to_dbus</code> control line, which enables the superbuffer to write the value to the data bus. (Because the data bus is large and connects many parts of the chip, it requires high-current signals to overcome its capacitance. A "superbuffer" provides this high-current output.) <p> The ACT register can hold a variety of different values. In a typical arithmetic operation, the accumulator value is loaded into the ACT via the <code>a_to_act</code> control. The ACT can also load a value from the data bus via <code>dbus_to_act</code>. This is used for the <code>ARHL/DAD/DSUB/LDHI/LDSI/RDEL</code> instructions (all of which are <a href="https://electronicerror.blogspot.com/2007/08/undocumented-flags-and-instructions.html">undocumented</a> except <code>DAD</code>). These instructions perform arithmetic operations without involving the accumulator, so they require a path into the ALU that bypasses the accumulator. <p> The control lines allow the ACT register to be loaded with a variety of constants. The <code>0/fe_to_act</code> control line loads either 0 or 0xfe into the ACT; the value is selected by the <code>sel_0_fe</code> control line. The value 0 has a variety of uses. ORing a value with 0 allows the value to pass through the ALU unchanged. If the carry is set, ADDing to 0 performs an increment. The value 0xfe (signed -2) is used only for the <code>DCR</code> (decrement by 1) instruction. You might think the value 0xff (signed -1) would be more appropriate, but if the carry is set, ADDing 0xfe decrements by 1. I think the motivation is so both increments and decrements have the carry set, and thus can use the same logic to control the carry. <p> Since the 8085 has a 16-bit <a href="http://www.righto.com/2013/03/register-file-8085.html">increment/decrement circuit</a>, you might wonder why the ALU is also used for increment/decrement. The main reason is that using the ALU allows the condition flags to be set by <code>INR</code> and <code>DCR</code>. In contrast, the 16-bit increment and decrement instructions (<code>INX</code> and <code>DCX</code>) use the incrementer/decrementer, and as a consequence the flags are not updated. <p> To support BCD, the ACT can be loaded with decimal adjustment values 0x00, 0x06, 0x60, or 0x66. The top and bottom four bits of ACT are loaded with the value 6 with the <code>6x_to_act</code> and <code>x6_to_act</code> control lines respectively. <p> It turns out that the decimal adjustment values are easily visible in the silicon. The following image shows the silicon that implements the ACT register. Each of the large pink structures is one bit. The eight bits are arranged with bit 7 on the left and bit 0 on the right. Note that half of the bits have pink loops at the top, in the pattern 0110 0110. These loops pull the associated bit high, and are used to set the high and/or low four bits to 6 (binary 0110). <p> <a href="//static.righto.com/images/8085/act_register.png"><img alt="The ACT register in the 8085. This image shows the silicon that implements the 8-bit register. Each of the large pink structures is one bit. Bit 7 is on the left and bit 0 on the right." class="hilite" src="//static.righto.com/images/8085/act_register-s700.png" title="The ACT register in the 8085. This image shows the silicon that implements the 8-bit register. Each of the large pink structures is one bit. Bit 7 is on the left and bit 0 on the right." width="700"> </a> <p> <div class="cite"> The ACT register in the 8085. This image shows the silicon that implements the 8-bit register. </div> <p> <h2>Building the 8-bit ALU from single-bit slices</h2> <p> In my previous article on the <a href="http://www.righto.com/2013/01/inside-alu-of-8085-microprocessor.html">8085 ALU</a> I described how each bit of the ALU is implemented. Each bit slice of the ALU takes two inputs and performs a simple operation: or, add, xor and, shift right, complement, or subtract. The ALU has a shift right input and a carry input, and generates a carry output. In addition, each slice of the ALU contributes to the parity and zero calculations. The ALU has five control lines to select the operation. <p> <a href="//static.righto.com/images/8085/alu1bit.png"><img alt="One bit of the ALU in the 8085 microprocessor." class="hilite" src="//static.righto.com/images/8085/alu1bit-s300.png" title="One bit of the ALU in the 8085 microprocessor." width="300"> </a> </p> <div class="cite"> One bit of the ALU in the 8085 microprocessor </div> <p> The ALU has seven basic operations: <code>or</code>, <code>add</code>, <code>xor</code>, <code>and</code>, <code>shift right</code>, <code>complement</code>, and <code>subtract</code>. The following table shows the five control lines that select the operation, and the meaning of the carry line for the operation. Note that the meaning of carry in and carry out is different for each operations. For bit operations, the implementation of the ALU circuitry depends on a particular carry in value, even though carry is meaningless for these operations. <p> <table class="alulogic"> <tbody><tr><th>Operation</th><th><i>select_neg_in2</i></th><th><i>select_op1</i></th><th><i>select_op2</i></th><th><i>select_shift_right</i></th><th><i>select_ncarry_1</i></th><th>Carry in/out</th></tr> <tr><td>or</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1</td><td>1</td></tr> <tr><td>add</td><td>0</td><td>1</td><td>0</td><td>0</td><td>0</td><td>/carry</td></tr> <tr><td>xor</td><td>0</td><td>1</td><td>0</td><td>0</td><td>1</td><td>1</td></tr> <tr><td>and</td><td>0</td><td>1</td><td>1</td><td>0</td><td>1</td><td>0</td></tr> <tr><td>shift right</td><td>0</td><td>0</td><td>1</td><td>1</td><td>1</td><td>0</td></tr> <tr><td>complement</td><td>1</td><td>0</td><td>0</td><td>0</td><td>1</td><td>1</td></tr> <tr><td>subtract</td><td>1</td><td>1</td><td>0</td><td>0</td><td>0</td><td>borrow</td></tr> </tbody></table> <p> The eight-bit ALU is formed by linking eight single-bit ALUs as shown below. The high-order bit is on the left, and the low-order bit on the right, matching the layout in silicon. The carry, parity, and zero values propagate through each ALU to form the final values on the left. The right shift input is simply the bit from the right, with the exception of the topmost bit which uses a special shift right input. The auxiliary carry is simply the carry out of bit three. The control lines to select the operation are fed into all eight ALU slices. By combining eight of these ALU slices, the whole 8-bit ALU is created. The values from the top bit are used to control the parity, zero, carry, and sign flags (as well as the undocumented K and V flags). Bit 3 generates the half carry flag. <p> <a href="//static.righto.com/images/8085/alu8bit.png"><img alt="The 8-bit ALU in the 8085 is formed by combining eight 1-bit slices." class="hilite" src="//static.righto.com/images/8085/alu8bit-s800.png" title="The 8-bit ALU in the 8085 is formed by combining eight 1-bit slices." width="800"> </a> <p> <div class="cite"> The 8-bit ALU in the 8085 is formed by combining eight 1-bit slices. </div> <h2>The control lines</h2> The ALU uses 29 control lines that are generated by a <a href="http://www.righto.com/2013/01/notes-on-pla-on-8085-chip.html">PLA</a> that activates the right control lines based on the opcode and the position in the instruction cycle. For reference, the following table lists the 29 ALU control lines and the instructions that affect them. <table class="alulogic control"> <tr><th>Control line</th><th>Relevant instructions</th></tr> <tr><td><code>ad_latch_dbus, write_dbus_to_alu_tmp, /ad_dbus</code></td> <td><code>IN/<wbr/>LDA/<wbr/>LHLD </code></td></tr> <tr><td><code>/ad_dbus</code></td> <td><code>ARHL/<wbr/>DAD/<wbr/>DSUB/<wbr/>LDHI/<wbr/>LDSI/<wbr/>RDEL </code></td></tr> <tr><td><code>/<wbr/>alu/a_to_dbus</code></td> <td>all</td></tr> <tr><td><code>/dbus_to_act</code></td> <td><code>ARHL/<wbr/>DAD/<wbr/>DSUB/<wbr/>LDHI/<wbr/>LDSI/<wbr/>RDEL </code></td></tr> <tr><td><code>a_to_act</code></td> <td><code>ACI/<wbr/>ADC/<wbr/>ADD/<wbr/>ADI/<wbr/>ANA/<wbr/>ANI/<wbr/>CMP/<wbr/>CPI/<wbr/>ORA/<wbr/>ORI/<wbr/>RAL/<wbr/>RAR/<wbr/>RLC/<wbr/>RRC/<wbr/>SBB/<wbr/>SBI/<wbr/>SUB/<wbr/>SUI/<wbr/>XRA/<wbr/>XRI </code></td></tr> <tr><td><code>0/fe_to_act</code></td> <td>all</td></tr> <tr><td><code>sel_alu_a</code></td> <td>all</td></tr> <tr><td><code>alu_to_a</code></td> <td><code>ACI/<wbr/>ADC/<wbr/>ADD/<wbr/>ADI/<wbr/>ANA/<wbr/>ANI/<wbr/>CMA/<wbr/>CMC/<wbr/>DAA/<wbr/>DCR/<wbr/>IN/<wbr/>INR/<wbr/>LDA/<wbr/>LDAX/<wbr/>MOV/<wbr/>MVI/<wbr/>ORA/<wbr/>ORI/<wbr/>POP/<wbr/>RAL/<wbr/>RAR/<wbr/>RIM/<wbr/>RLC/<wbr/>RRC/<wbr/>SBB/<wbr/>SBI/<wbr/>SIM/<wbr/>STC/<wbr/>SUB/<wbr/>SUI/<wbr/>XRA/<wbr/>XRI</code></td></tr> <tr><td><code>/<wbr/>daa</code></td> <td><code>DAA</code></td></tr> <tr><td><code>sel_0_fe</code></td> <td><code>DCR</code></td></tr> <tr><td><code>store_v_flag</code></td> <td><code>ACI/<wbr/>ADC/<wbr/>ADD/<wbr/>ADI/<wbr/>ANA/<wbr/>ANI/<wbr/>ARHL/<wbr/>CMP/<wbr/>CPI/<wbr/>DAA/<wbr/>DCR/<wbr/>INR/<wbr/>ORA/<wbr/>ORI/<wbr/>RAL/<wbr/>RAR/<wbr/>RLC/<wbr/>RRC/<wbr/>SBB/<wbr/>SBI/<wbr/>SUB/<wbr/>SUI/<wbr/>XRA/<wbr/>XRI</code></td></tr> <tr><td><code>select_shift_right</code></td> <td><code>ARHL/<wbr/>RAR/<wbr/>RRC</code></td></tr> <tr><td><code>arith_to_flags</code></td> <td><code>ACI/<wbr/>ADC/<wbr/>ADD/<wbr/>ADI/<wbr/>ANA/<wbr/>ANI/<wbr/>CMP/<wbr/>CPI/<wbr/>DAA/<wbr/>DCR/<wbr/>DSUB/<wbr/>INR/<wbr/>ORA/<wbr/>ORI/<wbr/>SBB/<wbr/>SBI/<wbr/>SUB/<wbr/>SUI/<wbr/>XRA/<wbr/>XRI</code></td></tr> <tr><td><code>bus_to_flags</code></td> <td><code>POP PSW</code></td></tr> <tr><td><code><wbr/>/zero_flag_combine</code></td> <td><code>DAD/<wbr/>DSUB</code></td></tr> <tr><td><code><wbr/>/flags_to_bus</code></td> <td><code>ACI/<wbr/>ADC/<wbr/>ADD/<wbr/>ADI/<wbr/>ANA/<wbr/>ANI/<wbr/>ARHL/<wbr/>CALL/<wbr/><wbr/>CC/<wbr/>CM/<wbr/>CMA/<wbr/>CMC/<wbr/>CMP/<wbr/>CNC/<wbr/>CNZ/<wbr/>CP/<wbr/>CPE/<wbr/>CPI/<wbr/>/<wbr/>CPO/<wbr/>CZ/<wbr/>DAA/<wbr/>DAD/<wbr/>DCR/<wbr/>DCX/<wbr/>DI/<wbr/>DSUB/<wbr/>EI/<wbr/>HLT/<wbr/>IN/<wbr/>INR/<wbr/>INX/<wbr/>JC/<wbr/>JK/<wbr/>JM/<wbr/>JMP/<wbr/>JNC/<wbr/>JNK/<wbr/>JNZ/<wbr/>JP/<wbr/>JPE/<wbr/>JPO/<wbr/>JZ/<wbr/>LDA/<wbr/>LDAX/<wbr/>LDHI/<wbr/>LDSI/<wbr/>LHLD/<wbr/>LHLX/<wbr/>LXI/<wbr/>MOV/<wbr/>MVI/<wbr/>NOP/<wbr/>ORA/<wbr/>ORI/<wbr/>OUT/<wbr/>PCHL/<wbr/>POP/<wbr/>PUSH/<wbr/>RAL/<wbr/>RAR/<wbr/>RC/<wbr/>RDEL/<wbr/>RET/<wbr/>RIM/<wbr/>RLC/<wbr/>RM/<wbr/>RNC/<wbr/>RNZ/<wbr/>RP/<wbr/>RPE/<wbr/>RPO/<wbr/>RRC/<wbr/>RST/<wbr/>RSTV/<wbr/>RZ/<wbr/>SBB/<wbr/>SBI/<wbr/>SHLD/<wbr/>SHLX/<wbr/>SIM/<wbr/>SPHL/<wbr/>STA/<wbr/>STAX/<wbr/>STC/<wbr/>SUB/<wbr/>SUI/<wbr/>XCHG/<wbr/>XRA/<wbr/>XRI/<wbr/>XTHL</code></td></tr> <tr><td><code>shift_right_in_select</code></td> <td><code>ARHL</code></td></tr> <tr><td><code>xor_carry_in</code></td> <td><code>ANA/<wbr/>ANI/<wbr/>ARHL/<wbr/>CMP/<wbr/>CPI/<wbr/>DCR/<wbr/>DSUB/<wbr/>INR/<wbr/>RAR/<wbr/>RRC/<wbr/>SBB/<wbr/>SBI/<wbr/>SUB/<wbr/>SUI</code></td></tr> <tr><td><code>select_op2</code></td> <td><code>ANA/<wbr/>ANI/<wbr/>ARHL/<wbr/>RAR/<wbr/>RRC </code></td></tr> <tr><td><code><wbr/>/use_latched_carry <wbr/>/rotate_carry</code></td> <td><code>LDHI/<wbr/>LDSI/<wbr/>RLC/<wbr/>RRC</code></td></tr> <tr><td><code>/<wbr/>carry_in_0</code></td> <td>0 except for <code>ACI/<wbr/>ADC/<wbr/>DAD/<wbr/>DSUB/<wbr/>LDHI/<wbr/>LDSI/<wbr/>RAL/<wbr/>RDEL/<wbr/>RLC/<wbr/>SBB/<wbr/>SBI </code></td></tr> <tr><td><code>select_op1</code></td> <td><code>ACI/<wbr/>ADC/<wbr/>ADD/<wbr/>ADI/<wbr/>ANA/<wbr/>ANI/<wbr/>CMP/<wbr/>CPI/<wbr/>DAA/<wbr/>DAD/<wbr/>DCR/<wbr/>DSUB/<wbr/>INR/<wbr/>LDHI/<wbr/>LDSI/<wbr/>RAL/<wbr/>RDEL/<wbr/>RLC/<wbr/>SBB/<wbr/>SBI/<wbr/>SUB/<wbr/>SUI/<wbr/>XRA/<wbr/>XRI</code></td></tr> <tr><td><code>select_ncarry_1</code></td> <td><code>ACI/<wbr/>ADC/<wbr/>ADD/<wbr/>ADI/<wbr/>CMP/<wbr/>CPI/<wbr/>DAA/<wbr/>DAD/<wbr/>DCR/<wbr/>DSUB/<wbr/>INR/<wbr/>LDHI/<wbr/>LDSI/<wbr/>RAL/<wbr/>RDEL/<wbr/>RLC/<wbr/>SBB/<wbr/>SBI/<wbr/>SUB/<wbr/>SUI</code></td></tr> <tr><td>In combination with first control line, <code>write_dbus_to_alu_tmp</code></td> <td><code>ADC/<wbr/>ADD/<wbr/>ANA/<wbr/>CMA/<wbr/>CMC/<wbr/>CMP/<wbr/>DAA/<wbr/>DCR/<wbr/>INR/<wbr/>MOV/<wbr/>ORA/<wbr/>RAL/<wbr/>RAR/<wbr/>RIM/<wbr/>RLC/<wbr/>RRC/<wbr/>SBB/<wbr/>SIM/<wbr/>STC/<wbr/>SUB/<wbr/>XRA</code></td></tr> <tr><td><code>select_neg_in2</code></td> <td><code>CMA/<wbr/>CMP/<wbr/>CPI/<wbr/>DSUB/<wbr/>SBB/<wbr/>SBI/<wbr/>SUB/<wbr/>SUI </code></td></tr> <tr><td><code>carry_to_k_flag</code></td> <td><code>DCX/<wbr/>INX </code></td></tr> <tr><td><code>store_carry_flag</code></td> <td><code>ACI/<wbr/>ADC/<wbr/>ADD/<wbr/>ADI/<wbr/>ANA/<wbr/>ANI/<wbr/>ARHL/<wbr/>CMC/<wbr/>CMP/<wbr/>CPI/<wbr/>DAA/<wbr/>DAD/<wbr/>DSUB/<wbr/>ORA/<wbr/>ORI/<wbr/>RAL/<wbr/>RAR/<wbr/>RDEL/<wbr/>RLC/<wbr/>RRC/<wbr/>SBB/<wbr/>SBI/<wbr/>STC/<wbr/>SUB/<wbr/>SUI/<wbr/>XRA/<wbr/>XRI</code></td></tr> <tr><td><code>xor_carry_result</code></td> <td>xor for <code>ANA/<wbr/>ANI/<wbr/>CMC/<wbr/>CMP/<wbr/>CPI/<wbr/>DSUB/<wbr/>SBB/<wbr/>SBI/<wbr/>STC/<wbr/>SUB/<wbr/>SUI</code></td></tr> <tr><td><code>/latch_carry use_carry_flag</code></td> <td><code>CMC/LDHI/LDSI</code></td></tr> </table> <h2>Conclusions</h2> By reverse-engineering the 8085, we can see how the ALU actually works at the gate and silicon level. The ALU uses many standard techniques, but there are also some surprises and tricks. There are two registers (ACT and TMP) that are invisible to the programmer. You'd expect a direct path from the data bus to the accumulator, but instead the data passes through the ALU. The increment/decrement logic uses the unexpected constant 0xfe, and there are two totally different ways of performing increment/decrement. Several undocumented instructions perform ALU operations without involving the accumulator at all. <p> This information builds on the 8085 reverse-engineering done by the <a href="http://visual6502.org">visual 6502</a> team. This team dissolves chips in acid to remove the packaging and then takes many close-up <a href="http://visual6502.org/images/pages/8085_die_shots.html">photographs</a> of the die inside. <a href="http://pastraiser.com/">Pavel Zima</a> converted these photographs into <a href="http://visual6502.org/images/pages/8085_die_shots.html">mask layer images</a>, generated a transistor net from the layers, and wrote a transistor-level 8085 simulator. <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/6264947694886887540/3643027845211057574' onclick=''> 3 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/6264947694886887540/3643027845211057574' 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=3643027845211057574&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=3643027845211057574&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=3643027845211057574&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=3643027845211057574&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=3643027845211057574&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=3643027845211057574&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/8085' rel='tag'>8085</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 class='post-outer'> <div class='post hentry' itemprop='blogPost' itemscope='itemscope' itemtype='http://schema.org/BlogPosting'> <meta content='//static.righto.com/images/rigol/rigol_ir_display-s400.png' itemprop='image_url'/> <meta content='6264947694886887540' itemprop='blogId'/> <meta content='8967838651041212651' itemprop='postId'/> <a name='8967838651041212651'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://www.righto.com/2013/07/rigol-oscilloscope-hacks-with-python.html'>Four Rigol oscilloscope hacks with Python</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-8967838651041212651' itemprop='description articleBody'> <style> .gist { } .gist-data { height: 350px; } .gist-meta { font-size: 80% !important; } </style> A Rigol oscilloscope has a USB output, allowing you to control it with a computer and and perform additional processing externally. I was inspired by Cibo Mahto's article <a href="http://www.cibomahto.com/2010/04/controlling-a-rigol-oscilloscope-using-linux-and-python">Controlling a Rigol oscilloscope using Linux and Python</a>, and came up with some new Python oscilloscope hacks: super-zoomable graphs, generating a spectrogram, analyzing an IR signal, and dumping an oscilloscope trace as a WAV file. The key techniques I illustrate are connecting to the oscilloscope with Windows, accessing a megabyte of data with Long Memory, and performing analysis on the data. <p> <a href="//static.righto.com/images/rigol/rigol_ir_display.png"><img alt="Analyzing the IR signal from a TV remote using an IR sensor and a Rigol DS1052E oscilloscope." class="hilite" src="//static.righto.com/images/rigol/rigol_ir_display-s400.png" title="Analyzing the IR signal from a TV remote using an IR sensor and a Rigol DS1052E oscilloscope." width="400"> </a> <p> <div class="cite"> Analyzing the IR signal from a TV remote using an IR sensor and a Rigol DS1052E oscilloscope. </div> <h2>Super-zoomable graphs</h2> One of the nice features of the Rigol is "Long Memory" - instead of downloading the 600-point trace that appears on the screen, you can record and access a high-resolution trace of 1 million points. In this hack, I show how you can display this data with Python, giving you a picture that you can easily zoom into with the mouse. <p> The following screenshot shows the data collected by hooking the oscilloscope up to an IR sensor. In the above picture, the sensor is the three-pin device below the screen. Since I've developed an <a href="http://www.righto.com/2009/08/multi-protocol-infrared-remote-library.html">IR library for Arduino</a>, my examples focus on IR, but any sort of signal could be used. By enabling Long Memory, we can download not just the data on the screen, but 1 million data points, allowing us to zoom way, way in. The graph below shows what it sent when you press a button on the TV remote - the selected button transmits a code, followed by a periodic repeat signal as long as the button is held down. <p> <a href="//static.righto.com/images/rigol/rigol_ir1.png"><img alt="The IR signal from a TV remote. The first block is the code, followed by period repeat signals while the button is held down." class="hilite" src="//static.righto.com/images/rigol/rigol_ir1-w350.png" title="The IR signal from a TV remote. The first block is the code, followed by period repeat signals while the button is held down." width="350"> </a> <p> <div class="cite"> The IR signal from a TV remote. The first block is the code, followed by period repeat signals while the button is held down. </div> But with Long Memory, we can interactively zoom way on the waveform and see the actual structure of the code - long header pulses followed by a sequence of wide and narrow pulses that indicate the particular button. That's not the end of the zooming - we can zoom way in on an edge of a pulse and see the actual rise time of the signal over a few microseconds. You can do some pretty nice zooming when you have a million datapoints to plot. <p> <a href="//static.righto.com/images/rigol/rigol_ir2a.png"><img alt="Zooming in on the first part of the waveform shows the structure of the code - long header pulses followed by wide and narrow pulses." class="hilite" src="//static.righto.com/images/rigol/rigol_ir2a-w350.png" title="Zooming in on the first part of the waveform shows the structure of the code - long header pulses followed by wide and narrow pulses." width="350"> </a> <a href="//static.righto.com/images/rigol/rigol_ir3a.png"><img alt="Zooming way, way in on the edge of a pulse shows the rise time of the signal." class="hilite" src="//static.righto.com/images/rigol/rigol_ir3a-w350.png" title="Zooming way, way in on the edge of a pulse shows the rise time of the signal." width="350"> </a> <p> To use this script, first enable Long Memory by going to Acquire: MemDepth. Next, set the trigger sweep to Single. Capture the desired waveform on the oscilloscope. Then run the Python script to upload the data to your computer, which will display a plot using <code>matplotlib</code>. To zoom, click the "+" icon at the bottom of the screen. This lets you pan back and forth through the data by holding down the left mouse button. You can zoom in and out by holding the right mouse button down and moving the mouse right or left. The magnifying glass icon lets you select a zoom rectangle with the mouse. You can zoom on your oscilloscope too, of course, but using a mouse and having labeled axes can be much more convenient. <p> <script src="https://gist.github.com/shirriff/bb010c7dbd7f0ce69cba.js"></script> <p> A few things to notice about the code. The first few lines get the list of instruments connected to VISA and open the USB instrument (i.e. your oscilloscope). The timeout and chunk size need to be increased from the defaults to download the large amount of data without timeouts. <p> Next, <code>ask_for_values</code> gets various scale values from the oscilloscope so the axes can be labeled properly. By setting the mode to <code>RAW</code> we download the full dataset, not just what is visible on the screen. We get the raw data from channel 1 with <code>:WAV:DATA? CHAN1</code>. The first 10 bytes are a header and should be discarded. Next, the raw bytes are converted to numeric values with Mahto's formulas. Finally, <code>matplotlib</code> plots the data. <p> There are a couple "gotchas" with Long Memory. First, it only works reliably if you capture a single trace by setting the trigger sweep to "single". Second, downloading all this data over USB takes 10 seconds or so, which can be inconveniently slow. <h2>Analyze an IR signal</h2> Once we can download a signal from the oscilloscope, we can do more than just plot it - we can process and analyze it. In this hack, I decode the IR signal and print the corresponding hex value. Since it takes 10 seconds to download the signal, this isn't a practical way of using an IR remote for control. The point is to illustrate how you can perform logic analysis on the oscilloscope trace by using Python. <p> This code shows how the Python script can wait for the oscilloscope to be triggered and enter the <code>STOP</code> state. It also shows how you can use Python to initialize the oscilloscope to a desired configuration. The oscilloscope gets confused if you send too many commands at once, so I put a short delay between the commands. <p> <script src="https://gist.github.com/shirriff/6027183.js"></script> <h2>Generate a spectrogram</h2> Another experiment I did was using Python libraries to generate a <a href="https://en.wikipedia.org/wiki/Spectrogram">spectrogram</a> of a signal recorded by the oscilloscope. I simply hooked a microphone to the oscilloscope, spoke a few words, and used the script below to analyze the signal. The spectrogram shows low frequencies at the bottom, high frequencies at the top, and time progresses left to right. This is basically a FFT swept through time. <p> <a href="//static.righto.com/images/rigol/spectrogram.png"><img alt="A spectrogram generated by matplotlib using data from a Rigol DS1052E oscilloscope." class="hilite" src="//static.righto.com/images/rigol/spectrogram-s400.png" title="A spectrogram generated by matplotlib using data from a Rigol DS1052E oscilloscope." width="400"> </a> <p> <div class="cite"> A spectrogram generated by matplotlib using data from a Rigol DS1052E oscilloscope. </div> To use this script, set up the oscilloscope for Long Memory as before, record the signal, and then run the script. <p> <script src="https://gist.github.com/shirriff/fe6e78f22972b52cabce.js"></script> <h2>Dump data to a .wav file</h2> You might want to analyze the oscilloscope trace with other tools, such as <a href="http://audacity.sourceforge.net/">Audacity</a>. By dumping the oscilloscope data into a WAV file, it can easily be read into other software. Or you can play the data and hear how it sounds. <p> To use this script, enable Long Memory as described above, capture the signal, and run the script. A file <code>channel1.wav</code> will be created. <p> <script src="https://gist.github.com/shirriff/1a74ef2d3f98b5fe3110.js"></script> <h2>How to install the necessary libraries</h2> Before connecting your oscilloscope to your Windows computer, there are several software packages you'll need. <ul> <li>I assume you have Python already installed - I'm using 2.7.3. <li> Install <a href="http://joule.ni.com/nidu/cds/view/p/id/3342/lang/en">NI-VISA Run-Time Engine 5.2</a>. This is National Instruments Virtual Instrument Software Architecture, providing an interface to hardware test equipment. <li> Install <a href="http://sourceforge.net/projects/pyvisa/">PyVISA</a>, the Python interface to VISA. <li> If you want to run the graphical programs, install <a href="http://www.numpy.org/">Numpy</a> and <a href="http://matplotlib.org/">matplotlib</a>. </ul> You can also use Rigol's <a href="http://www.rigolna.com/products/digital-oscilloscopes/ds1000e/#tabs-4">UltraScope for DS1000E</a> software, but the included NI_VISA 4.3 software doesn't work with pyVisa - I ended up with <code>VI_WARN_CONFIG_NLOADED</code> errors. If you've already installed Ultrascope, you'll probably need to uninstall and reinstall NI_VISA. <p> If you're using Linux instead of Windows, see <a href="http://www.cibomahto.com/2010/04/controlling-a-rigol-oscilloscope-using-linux-and-python">Mehta's article</a>. <h2>How to control and program the oscilloscope</h2> Once the software is installed (below), connect the oscilloscope to the computer's USB port. Use the USB port on the back of the oscilloscope, not the flash drive port on the front panel. <p> Hopefully the code examples above are clear. First, the Python program must get the list of connected instruments from pyVisa and open the USB instrument, which will have a name like <code>USB0::0x1AB1::0x0588::DS1ED141904883</code>. Once the oscilloscope connection is open, you can use <code>scope.write()</code> to send a command to the oscilloscope, <code>scope.ask()</code> to send a command and read a result string, and <code>scope.ask_for_values()</code> to send a command and read a float back from the oscilloscope. <p> When the oscilloscope is under computer control, the screen shows <span style="color:red">Rmt</span> and the front panel is non-responsive. The "Force" button will restore local control. Software can release the oscilloscope by sending the corresponding ":KEY:FORCE" command. <p> Error handling in pyVisa is minimal. If you send a bad command, it will hang and eventually timeout with <code>VisaIOError: VI_ERROR_TMO: Timeout expired before operation completed.</code> <p> The API to the oscilloscope is specified in the <a href="http://www.rigolna.com/products/digital-oscilloscopes/ds1000e/ds1052e/#tabs-2">DS1000D/E Programming Guide</a>. If you do any Rigol hacking, you'll definitely want to read this. Make sure you use the right programming guide for your oscilloscope model - other models have slightly different commands that seem plausible, but they will timeout if you try them. <p> <h2>Conclusions</h2> Connecting an oscilloscope to a computer opens up many opportunities for processing the measurement data, and Python is a convenient language to do this. The Long Memory mode is especially useful, since it provides extremely detailed data samples. <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/6264947694886887540/8967838651041212651' onclick=''> 20 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/6264947694886887540/8967838651041212651' 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=8967838651041212651&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=8967838651041212651&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=8967838651041212651&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=8967838651041212651&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=8967838651041212651&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=8967838651041212651&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/electronics' rel='tag'>electronics</a>, <a href='http://www.righto.com/search/label/ir' rel='tag'>ir</a>, <a href='http://www.righto.com/search/label/oscilloscope' rel='tag'>oscilloscope</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='//static.righto.com/images/8085/alu_details-s500.png' itemprop='image_url'/> <meta content='6264947694886887540' itemprop='blogId'/> <meta content='8746377821179438389' itemprop='postId'/> <a name='8746377821179438389'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://www.righto.com/2013/07/reverse-engineering-flag-circuits-in.html'>Reverse-engineering the flag circuits in the 8085 processor</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-8746377821179438389' itemprop='description articleBody'> Processors all have status flags to keep track of conditions such as a zero value, a carry, or a negative value. Whenever you write a loop or conditional, these flags ultimately are in control. But how are these flags implemented in the chip's silicon? I've reverse-engineered the flag circuits in the 8085 microprocessor and explain what is really going on. <p> The photograph below is a highly magnified image of the 8085's silicon, showing the relevant parts of the chip. In the upper-left, the arithmetic logic unit (ALU) performs 8-bit arithmetic operations. The status flag circuitry is below the ALU and the flags are connected to the data bus (indicated in blue). To the right of the ALU, the control PLA decodes the instructions into control lines that control the operations of the ALU and flag circuits. <p> <a href="//static.righto.com/images/8085/alu_details.png"><img alt="Photograph of the 8085 chip showing the location of the ALU, flags, and registers." class="hilite" src="//static.righto.com/images/8085/alu_details-s500.png" title="Photograph of the 8085 chip showing the location of the ALU, flags, and registers." width="500"> </a> </p> The 8085 has seven status flags. <ul> <li> Bit 7 is the sign flag, indicating a negative two's-complement value, which is simply a byte with the top bit set. </li> <li> Bit 6 is the zero flag, indicating a value that is all zeros. </li> <li> Bit 5 is the undocumented K (or X5) flag, indicating either a carry from the 16-bit incrementer/decrementer or the result of a signed comparison. See my article on the undocumented <a href="http://www.righto.com/2013/02/looking-at-silicon-to-understanding.html">K and V flags</a>. </li> <li> Bit 4 is the auxiliary carry, indicating a carry out of the 4 low-order bits. This is typically used for BCD (binary-coded decimal) arithmetic. </li> <li> Bit 3 is unused and set to 0. Interestingly, a fairly large transistor drives the data bus line to 0 when reading the flags, so this unused flag bit doesn't come for free. </li> <li> Bit 2 is the parity flag, which is set if the result has an even number of 1 bits. </li> <li> Bit 1 is the undocumented signed overflow flag V (<a href="http://www.righto.com/2013/02/looking-at-silicon-to-understanding.html">details</a>). </li> <li> Bit 0 is the carry flag. </li> </ul> <p> The image below zooms in on the flag silicon, showing individual transistors. The large transistors labeled with the flag name drive the flag value onto the data bus. From the data bus, the flag values control the results of conditional jumps, calls, and returns. The complex circuits above these transistors compute and store the flag values. <p> <a href="//static.righto.com/images/8085/flags_silicon.png"><img alt="The silicon that implements the flags in the 8085 microprocessor." class="hilite" src="//static.righto.com/images/8085/flags_silicon-s600.png" title="The silicon that implements the flags in the 8085 microprocessor." width="600"> </a> </p> The schematic below shows the flag circuit that is implemented in the silicon above. <p> <a href="//static.righto.com/images/8085/flags.png"><img alt="Schematic of the flag storage in the 8085 microprocessor." height="800" src="//static.righto.com/images/8085/flags-s800.png" title="Schematic of the flag storage in the 8085 microprocessor."> </a> <p> <div class="cite"> Schematic of the flag storage in the 8085 microprocessor. </div> <p> Each flag bit has a latch and control lines to write a value to the latch. Most flags are updated by the same arithmetic instructions and controlled by the <code>arith_to_flags</code> control line. The carry flag is affected by additional instructions and has its own control line. The undocumented K and V flags are updated in different circumstances and have their own control lines. <p> The <code>bus_to_flags</code> control loads the flags from the data bus for the <code>POP PSW</code> instruction, while the <code>flags_to_bus</code> control sends the flag values over the data bus for the <code>PUSH PSW</code> instruction or for conditional branches. <p> The circuitry to compute most flag values is straightforward. The sign flag is set based on bit 7 of the result. The auxiliary carry flag is set on the carry out of bit 3. The K and V flags are set based on the top two bits (<a href="http://www.righto.com/2013/02/looking-at-silicon-to-understanding.html">details</a>). The zero flag is normally set from the <code>alu_zero</code> signal that indicates all bits are zero. <p> The zero flag has support for multi-byte zero: at each step it can <code>AND</code> the existing zero flag with the current ALU zero value, so the zero flag will be set if both bytes are zero. This is only used for the (undocumented) <code>DSUB</code> 16-bit subtract instruction. Strangely, this circuit is also activated for the 16-bit <code>DAD</code> instructions, but the result is not stored in the flag. <p> If you look at the chip photograph at the top of the article, the flags are arranged in apparently-random order, not in their bit order as you might expect. Presumably the layout used is more efficient. Also notice that the carry flag C is off to the right of the ALU. Because of the complexity of the carry logic, which will be discussed next, the circuitry wouldn't fit under the ALU with the rest of the flag logic. <h2>The carry logic</h2> The schematic below shows the circuit for the carry flag. The logic for carry is more complex than for the other flags because carry is used in a variety of ways. <p> <a href="//static.righto.com/images/8085/carry.png"><img alt="Schematic of the carry circuitry in the 8085 microprocessor." class="hilite" src="//static.righto.com/images/8085/carry-s700.png" title="Schematic of the carry circuitry in the 8085 microprocessor." width="700"> </a> <p> <div class="cite"> Schematic of the carry circuitry in the 8085 microprocessor. </div> <h3>The value stored in the carry flag</h3> The top part of the circuit computes <code>carry_result</code>, the value stored in the carry flag. This value has several different meanings depending on the instruction: <ul> <li>For arithmetic operations, the carry flag is loaded with the value generated by the ALU. That is, <code>alu_carry_7</code> (the high-order carry from bit 7 of the ALU) is used. (See <a href="http://www.righto.com/2013/01/inside-alu-of-8085-microprocessor.html">Inside the ALU of the 8085 microprocessor</a> for details on how this is computed.) <li>For <code>DAA</code> (decimal adjust accumulator), the carry flag is set if the high-order digit is >= 10. This value is <code>alu_hi_ge_10</code>, which is selected by the <code>daa</code> control line. <li>For <code>CMC</code> (complement carry), the carry flag value is complemented. To compute this, the previous carry flag value <code>c_flag</code> is selected by <code>use_carry_flag</code> and complemented by the <code>xor_carry_result</code> control line. <li>For <code>ARHL</code>/<code>RAR</code>/<code>RRC</code> (rotate right operations), bit 0 of the rotated value goes into the carry. In the circuit, <code>reg_act_0</code> (the low-order bit in the undocumented ACT (accumulator temp) register) is selected by the <code>alu_shift_right</code> control line. </ul> The <code>xor_carry_result</code> control inverts the carry value in a few cases. For subtraction and comparison, it flips the carry bit to be the borrow bit. For <code>STC</code> (set carry), the <code>xor_carry_result</code> control forces the carry to 1. For <code>AND</code> operations, it forces the carry to 0. <h3>Generating the carry input signal</h3> The middle part of the circuit selects the appropriate <code>carry_in</code> value that is supplied to the ALU. <li> The first option is to set the carry in to either 0 or 1, by using <code>carry_in_0</code> and optionally <code>xor_carry_in</code>. This is used for most instructions. <li> The next option is to use the current carry flag value as an input for additions or subtractions (allowing multi-byte arithmetic). For subtraction, this is inverted to convert borrow to carry; the <code>xor_carry_in</code> control does this. <li> The final option uses the carry latch to temporarily hold the carry for the <a href="https://electronicerror.blogspot.com/2007/08/undocumented-flags-and-instructions.html">undocumented <code>LDHI</code> and <code>LDSI</code> instructions</a>. These instructions add a constant to a 16-bit register pair, so they need to add the carry from of the low-order sum to the high-order byte. The carry latch temporarily holds the carry, and this value is selected by the <code>use_latched_carry</code> control line. You might wonder why not just use the normal carry flag; the <code>LDHI</code> and <code>LDSI</code> instructions are designed to leave the carry flag unchanged, so they need somewhere else to temporarily store the carry. The surprising conclusion that Intel deliberately included circuitry in the 8085 specifically to support these undocumented instructions, and then decided not to support these instructions. (In contrast, the <a href="http://www.pagetable.com/?p=39">6502's unsupported instructions</a> are just random consequences of unsupported opcodes.) <h3>Generating the shift_right input signal</h3> Each bit of the ALU has a shift right input. For most of the bits, the input comes from the bit to the left, but the high-order bit uses different inputs depending on the instruction. The bottom circuit in the schematic below generates the shift right input for the ALU. This circuit has two simple options. <ul> <li>Normally the carry flag is fed into <code>shift_right_in</code>. For the <code>ARHL</code> and <code>RAR</code> instructions, this causes the carry flag to go into the high-order bit. <li>For the <code>RRC</code> and <code>RLC</code> instructions (rotate A left/right), the <code>rotate_carry</code> control selects bit 0 as the shift right input. </ul> <h2>Conclusions</h2> By reverse-engineering the 8085, we can see how the flag circuits in the 8085 actually works at the gate and silicon level. One interesting feature is the circuitry to implement undocumented instructions and flags. Another interesting feature is the complexity of the carry flag compared to the other flags. <p> This information is based on the 8085 reverse-engineering done by the <a href="http://visual6502.org">visual 6502</a> team. This team dissolves chips in acid to remove the packaging and then takes many close-up <a href="http://visual6502.org/images/pages/8085_die_shots.html">photographs</a> of the die inside. <a href="http://pastraiser.com/">Pavel Zima</a> converted these photographs into <a href="http://visual6502.org/images/pages/8085_die_shots.html">mask layer images</a>, generated a transistor net from the layers, and wrote a transistor-level 8085 simulator. <H2>Footnotes on rotate</h2> I recommend you skip this section, but there are few confusing things about the rotate logic that I wanted to write down. <p> For some reason the rotate operations are named very strangely in the 8080 and 8085. <code>RRC</code> is the "rotate accumulator right" instruction and <code>RAR</code> is the "rotate accumulator right through carry" instruction. Based on the abbreviations, the names seem reversed. The left rotates <code>RLC</code> and <code>RAL</code> are similar. The Z-80 processor has a similar <code>RRC</code> instruction, but calls it "rotate right circular", making the abbreviation slightly less nonsensical. <p> Bit 0 of ACT is fed into <code>shift_right_in</code> for both <code>RRC</code> and <code>RLC</code>. However, this input is just ignored for <code>RLC</code> since the rotation is the other direction, so I assume this is just a result of the control logic treating <code>RRC</code> and <code>RLC</code> the same.) <p> To reduce the control circuitry, the <code>rotate_carry</code> and <code>use_latched_carry</code> control lines are actually the same control line since the instructions that use them don't conflict. In other words, there is just one control line, but it has two distinct functions. <p> <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/6264947694886887540/8746377821179438389' onclick=''> 4 comments: </a> </span> <span class='post-icons'> <span class='item-action'> <a href='https://www.blogger.com/email-post/6264947694886887540/8746377821179438389' 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=8746377821179438389&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=8746377821179438389&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=8746377821179438389&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=8746377821179438389&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=8746377821179438389&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=8746377821179438389&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/8085' rel='tag'>8085</a>, <a href='http://www.righto.com/search/label/electronics' rel='tag'>electronics</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 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='//static.righto.com/images/rigol/IMG_20130704_105521-s400.jpg' itemprop='image_url'/> <meta content='6264947694886887540' itemprop='blogId'/> <meta content='5791115576137700956' itemprop='postId'/> <a name='5791115576137700956'></a> <h3 class='post-title entry-title' itemprop='name'> <a href='http://www.righto.com/2013/07/tips-for-using-rigol-ds1052e.html'>Twelve tips for using the Rigol DS1052E Oscilloscope</a> </h3> <div class='post-header'> <div class='post-header-line-1'></div> </div> <div class='post-body entry-content' id='post-body-5791115576137700956' itemprop='description articleBody'> In this article I share a few tips I've learned about using the Rigol DS1052E oscilloscope. <p> <a href="//static.righto.com/images/rigol/IMG_20130704_105521.jpg"><img alt="The Rigol DS1052E digital oscilloscope." class="hilite" src="//static.righto.com/images/rigol/IMG_20130704_105521-s400.jpg" title="The Rigol DS1052E digital oscilloscope." width="400"> </a> <p> <div class="cite"> The Rigol DS1052E digital oscilloscope. </div> <p> <h2>Push the knobs</h2> The knobs all have convenient actions if you push them: pushing Vertical Position or Horizontal Position centers the trace vertically or horizontally. Pushing Tigger Level sets it to zero. Pushing Scale sets it to fine adjust mode. <h2>Long Memory</h2> If you don't use Long Memory, you're wasting most of the capacity of the oscilloscope. Long Memory stores 64 times as much data, so you can really zoom in on the waveform. To enable Long Memory, push the Acquire menu button, then select MemDepth to set Long Mem. There's additional documentation <a href="http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-00c8/0/-/-/-/-/file.pdf">here</a>. <p> <a href="//static.righto.com/images/rigol/longmem.jpg"><img alt="The Long Memory depth option of the Rigol DS1052E oscilloscope." class="hilite" src="//static.righto.com/images/rigol/longmem-s400.jpg" title="The Long Memory depth option of the Rigol DS1052E oscilloscope." width="400"> </a> <p> <div class="cite"> The Long Memory depth option of the Rigol DS1052E oscilloscope. </div> <p> <h2>Use zoom</h2> Once you've recorded a waveform, you can pan across it using the horizontal position knob - the waveform window indicator at the very top of the screen shows where you are. In mid-range settings, however, the pan range is fairly limited (about a factor of 5) compared to how deep you can zoom with the horizontal scale knob (about a factor of 1000 with Long Memory). Note: zoom works best with Single triggering; if you use Auto or Norm triggering and hit Run/Stop, sometimes the detailed data isn't in memory and zoom doesn't show more than is on the display. <p> Pushing the horizontal scale knob turns on the cool zoom mode, which lets you see the trace and a zoomed-in version at the same time, letting you zoom and pan. <p> <a href="//static.righto.com/images/rigol/rigol_zoom2.jpg"><img alt="The zoom feature of the Rigol DS1052E oscilloscope." class="hilite" src="//static.righto.com/images/rigol/rigol_zoom2-s400.jpg" title="The zoom feature of the Rigol DS1052E oscilloscope." width="400"> </a> <p> <div class="cite"> The zoom feature of the Rigol DS1052E oscilloscope. </div> <p> <h2>Using the menus</h2> Most of the menu buttons are in the group of 6 at the top. However, there's also a trigger menu button under the trigger knob and a time base menu under the horizontal position knob. This is in addition to the four vertical menu buttons: CH1, CH2, MATH, and REF. Among other things, the time base menu lets you select X-Y mode. <p> The menus hide about 1/6 of the display, so close the menu when you're done: push the round Menu On/Off button or push a menu button a second time. <h2>Don't press Auto</h2> The Auto button is right next to the Run/Stop button, so you might think it will set the trigger to Auto Sweep. Instead this button sets the controls to seemingly-random values to aotomatically display your traces. This is good if you're totally lost, but more likely to wipe out the settings you want. <h2>Screenshots</h2> Some oscilloscopes make screenshots easy, but the Rigol is more complicated. To take a screenshot on the Rigol, plug a USB drive into the front panel, then hit the Storage menu button, select Bit map under Storage, select External, New File, and Save. This will save NewFile0.bmp to your flash drive. (It's much easier to rename the file on your computer than on the oscilloscope.) <p> An alternative is to run the slightly clunky UltraScope software on your computer, which gives you access to the oscilloscope via USB. You can download "UltraScope for DS1000E" from the <a href="http://www.rigolna.com/products/digital-oscilloscopes/ds1000e/#tabs-4">Rigol Software Applications</a> page; although it has a PDF icon, it's actually a Zip file with the software. <h2>Built-in help</h2> If you hold down a button or knob for three seconds, the oscilloscope displays a help screen explaining its action. (I was surprised when I discovered this by accident.) <p> <a href="//static.righto.com/images/rigol/rigol_help.jpg"><img alt="The built-in help feature of the Rigol DS1052E oscilloscope is triggered by holding down a button or knob." class="hilite" src="//static.righto.com/images/rigol/rigol_help-s400.jpg" title="The built-in help feature of the Rigol DS1052E oscilloscope is triggered by holding down a button or knob." width="400"> </a> <p> <div class="cite"> The built-in help feature of the Rigol DS1052E oscilloscope is triggered by holding down a button or knob. </div> <p> <h2>Triggering</h2> The three trigger sweep modes are Auto, Normal, and Single. Auto will keep displaying traces until you hit Run/Stop. Normal will display a trace every time the trigger condition is satisfied. Single will display a single trace when triggered and then stop. Auto is the way to see a waveform without worrying about triggering. But if you want a nice, stable waveform, set up the trigger and use Normal. Also make sure you're triggering from the right channel - the oscilloscope likes to default to using Channel 2 as the trigger. <h2>Controlling the channels</h2> If you've used an oscilloscope with separate controls for each channel, you may expect the knobs near CH1 to control channel 1, and the knobs near CH2 to control channel 2. Instead, if you hit CH1, the knobs control channel 1's scale and position, while if you hit CH2, Math, or Ref, the same knobs control that channel's scale and position. Make sure you're controlling the trace you think you're controlling. <h2>Use the colored probe rings</h2> Maybe this is too obvious to mention, but putting matching colored rings on both ends of the oscilloscope probes lets you easily tell which probe goes with which channel. <p> <a href="//static.righto.com/images/rigol/IMG_20130705_090501.jpg"><img alt="Label oscilloscope probes with colored rings that match the trace colors." class="hilite" src="//static.righto.com/images/rigol/IMG_20130705_090501-s400.jpg" title="Label oscilloscope probes with colored rings that match the trace colors." width="400"> </a> <p> <div class="cite"> Label oscilloscope probes with colored rings that match the trace colors. </div> <h2>Cursors</h2> The cursors are very handy to measure voltages, times between two points, frequency, etc. (The Measure mode provides lots of automated measurements, but often doesn't measure what you want.) Manual mode lets you position two cursors (either vertical or horizontal), and the positions and difference are displayed. Track lets you position a cursor along the waveform, and a voltage cursor automatically tracks the waveform. Both time and voltage values are displayed. Auto mode is the mode you should use with Measure, in order to see what the measurements mean. <p> <a href="//static.righto.com/images/rigol/rigol_cursor.jpg"><img alt="A tracking cursor puts X-Y lines on the waveform and gives measurements." class="hilite" src="//static.righto.com/images/rigol/rigol_cursor-s400.jpg" title="A tracking cursor puts X-Y lines on the waveform and gives measurements." width="400"> </a> <p> <div class="cite"> A tracking cursor puts X-Y lines on the waveform and gives measurements. </div> <p> <h2>Finding the manual</h2> Search for DS1000E (not DS1052E) to find <a href="http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-02f5/1/-/-/-/-/file.pdf">the user's guide</a> and other <a href="http://www.rigolna.com/products/digital-oscilloscopes/ds1000e/#tabs-2">documentation</a>. <h2>Conclusions</h2> I'm glad I bought the Rigol DS1052E - it performs very well for a low-price ($329) oscilloscope. (If money is no object, there's <a href="http://www.home.agilent.com/en/pd-2108888-pn-DSAX96204Q/infiniium-high-performance-oscilloscope-63-ghz?nid=-33202.1010838&cc=US&lc=eng">Agilent's $439,000 Infiniium oscilloscope</a>. :-) I hope you find these tips useful. 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class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </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'> ►  </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'> ►  </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'> ►  </span> </a> <a class='post-count-link' 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collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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 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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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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 expanded'> <a class='toggle' href='javascript:void(0)'> <span class='zippy toggle-open'> ▼  </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'> ►  </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'> ►  </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'> ►  </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 expanded'> <a class='toggle' href='javascript:void(0)'> <span class='zippy toggle-open'> ▼  </span> </a> <a class='post-count-link' href='http://www.righto.com/2013/07/'> July </a> <span class='post-count' dir='ltr'>(4)</span> <ul class='posts'> <li><a href='http://www.righto.com/2013/07/reverse-engineering-8085s-alu-and-its.html'>Reverse-engineering the 8085's ALU and its hidden ...</a></li> <li><a href='http://www.righto.com/2013/07/rigol-oscilloscope-hacks-with-python.html'>Four Rigol oscilloscope hacks with Python</a></li> <li><a href='http://www.righto.com/2013/07/reverse-engineering-flag-circuits-in.html'>Reverse-engineering the flag circuits in the 8085 ...</a></li> <li><a href='http://www.righto.com/2013/07/tips-for-using-rigol-ds1052e.html'>Twelve tips for using the Rigol DS1052E Oscilloscope</a></li> </ul> </li> </ul> <ul class='hierarchy'> <li class='archivedate collapsed'> <a class='toggle' href='javascript:void(0)'> <span class='zippy'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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'> ►  </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 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