From 60e6394056de9d7d1cd3c93abb1cd4cd2f5cb192 Mon Sep 17 00:00:00 2001 From: Holden Rohrer Date: Thu, 2 Apr 2020 20:51:06 -0400 Subject: added test file --- phrase-circuit.src | 236 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 236 insertions(+) create mode 100644 phrase-circuit.src diff --git a/phrase-circuit.src b/phrase-circuit.src new file mode 100644 index 0000000..37e1b60 --- /dev/null +++ b/phrase-circuit.src @@ -0,0 +1,236 @@ +.W 72 +.V 10 +.CT Holden Rohrer +.V 2 +.CT Applications of Engineering: Pd 3 +.V 2 +.CT Phrase Project +.V 5 +.FIL = +.CT Table of Contents + +.LD 1| . |Problem Statement +.LD 2| . |Truth Table +.LD 3| . |Unsimplified Boolean Expressions +.LD 4| . |Karnaugh-like Depthy Mapping +.LD 5| . |Berkeley's ABC +.LD 6| . |Simplified Boolean Expressions +.LD 7| . |Logic Diagram +.LD 8| . |Difficulties +.LD 9| . |Appendix A: AutoCAD Schematic +.LD 10| . |Complete Breadboard + +.FIL = +.CT Problem Statement + +The objective of this project is to, using 74LS series chips (00, 04, 08, 11, 21, 32) and an anode seven-segment display (FND507) deisplay a 16-letter phrase with varying input switches. Jumper wires, a breadboard, and a "Breadboard Assistant" will be used to connect these components. + The phrase I will display is "AUTOCADSCHEMATIC," each letter displayed corresponding directly to the following cube vertices/switch positions (so chosen that any two consecutive states only require one switch instead of four like in 0111->1000): + 0000 -> 0001 -> 0011 -> 0010 -> 0110 -> 0111 -> 0101 -> 0100 -> 1100 -> 1101 -> 1111 -> 1110 -> 1010 -> 1011 -> 1001 -> 1000. + The breadboard will use the following wire colors convention: +- GND = BROWN +- PWR = WHITE +- W = BROWN +- !W = WHITE +- X = BLACK +- !X = YELLOW +- Y = GREEN +- !Y = RED +- Z = GRAY +- !Z = BLUE +- AND = ORANGE +- OR = PURPLE +- NOT = RED + The Seven-Segment Display will use the following light naming convention: + _______ +| a | +| |b +|f | +|_______| +| g | +|e |c +| | +|_______| + d +.FIL = +.CT Truth Table + +W X Y Z | VAL | A B C D E F G (1=OFF, 0=ON) +========+=====+============== +0 0 0 0 | A | 0 0 0 1 0 0 0 +0 0 0 1 | U | 1 0 0 0 0 0 1 +0 0 1 1 | T | 1 1 1 0 0 0 0 +0 0 1 0 | O | 0 0 0 0 0 0 1 +0 1 1 0 | C | 0 1 1 0 0 0 1 +0 1 1 1 | A | 0 0 0 1 0 0 0 +0 1 0 1 | D | 1 0 0 0 0 1 0 +0 1 0 0 | S | 0 1 0 0 1 0 0 +1 1 0 0 | C | 0 1 1 0 0 0 0 +1 1 0 1 | H | 1 1 0 1 0 0 0 +1 1 1 1 | E | 0 1 1 0 0 0 0 +1 1 1 0 | M | 0 1 0 1 0 1 1 +1 0 1 0 | A | 0 0 0 1 0 0 0 +1 0 1 1 | T | 1 1 1 0 0 0 0 +1 0 0 1 | I | 1 1 1 1 0 0 1 +1 0 0 0 | C | 0 1 1 0 0 0 0 + +.FIL = +.CT Unsimplified Boolean Expressions +.LS + ___ __ _ _ _ _ __ +A = WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ +.ELS +.LS + __ _ _ _ __ __ _ _ _ __ ___ +B = WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ +.ELS +.LS + __ _ _ __ _ __ ___ +C = WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ +.ELS +.LS + ____ _ _ _ _ _ __ +D = WXYZ + WXYZ + WXYZ + WXYZ + WXYZ + WXYZ +.ELS + _ __ +E = WXYZ + _ _ _ +F = WXYZ + WXYZ + ___ __ _ _ _ _ __ +G = WXYZ + WXYZ + WXYZ + WXYZ + WXYZ +.FIL = +.CT Karnaugh-like Depthy Mapping + + Form: + Y Z Y!Z !Y!Z !Y Z + W X # # # # + W!X # # # # +!W!X # # # # +!W X # # # # + For reference, the "primitives" (dot=0): + +W !W X !X + 1 1 1 1 . . . . 1 1 1 1 . . . . + 1 1 1 1 . . . . . . . . 1 1 1 1 + . . . . 1 1 1 1 . . . . 1 1 1 1 + . . . . 1 1 1 1 1 1 1 1 . . . . + +Y !Y Z !Z + 1 1 . . . . 1 1 1 . . 1 . 1 1 . + 1 1 . . . . 1 1 1 . . 1 . 1 1 . + 1 1 . . . . 1 1 1 . . 1 . 1 1 . + 1 1 . . . . 1 1 1 . . 1 . 1 1 . + + And the objectives: +A B C D + . . . 1 1 1 1 1 1 . 1 . . 1 . 1 + 1 . . 1 1 . 1 1 1 . 1 1 . 1 . 1 + 1 . . 1 1 . . . 1 . . . . . 1 . + . . . 1 . 1 1 . . 1 . . 1 . . . + +E F G + . . . . . 1 . . . 1 . . + . . . . . . . . . . . 1 + . . . . . . . . . 1 . 1 + . . 1 . . . . 1 . 1 . . + +The objectives were grouped into 1s, 2s, and 4s, to create the following simple boolean expressions (which are irrelevant to the final solution, but still required). +.FIL = +.CT Simplified Boolean Expressions + +A = !YZ + !XZ +B = W!Y + WX + WZ + !XYZ +C = WYZ + !XYZ + W!X!Y + W!Y!Z + !WXY!Z +D = WY!Z + W!YZ + !W!X!Y!Z + !WXYZ +E = !WX!Y!Z +F = WXY!Z + !WX!YZ +G = !X!YZ + !WY!Z + XY!Z +.FIL = +.CT Berkeley's ABC! +.CT --------------- +I used Berkeley's ABC: github.com/berkeley-abc/abc. +.CT Genlib File +GATE inv 2.3 O=!a; PIN * INV 1 999 0.9 0.3 0.9 0.3 +GATE nand 3.5 O=!(a*b); PIN * INV 1 999 0.9 0.3 0.9 0.3 +GATE and2 3.5 O=a*b; PIN * NONINV 1 999 0.9 0.3 0.9 0.3 +GATE and3 4.7 O=a*b*c; PIN * NONINV 1 999 0.9 0.3 0.9 0.3 +GATE and4 7 O=a*b*c*d; PIN * NONINV 1 999 0.9 0.3 0.9 0.3 +GATE or 3.5 O=a+b; PIN * NONINV 1 999 0.9 0.3 0.9 0.3 +GATE buf 1 O=a; PIN * NONINV 1 999 0.9 0.3 0.9 0.3 +GATE zero 0 O=CONST0; +GATE one 0 O=CONST1; + +.CT PLA file +..i 4 +..o 7 +..ilb w x y z +..ob a b c d e f g +0000 0001000 +0001 1000001 +0011 1110000 +0010 0000001 +0110 0110001 +0111 0001000 +0101 1000010 +0100 0100100 +1100 0110000 +1101 1101000 +1111 0110000 +1110 0101011 +1010 0001000 +1011 1110000 +1001 1111001 +1000 0110000 +..e + +On a Bourne shell with abc binary built in current dir: +$ ./abc -c "read circ.pla; read_library gathing.genlib; strash; collapse; strash; rewrite; strash; dc2; map; choice; map; print_gates; write struct.eqn; show -g;" +$ sed -e 's/new_n//g' -e 's/_//g' struct.eqn > struct.eqn.tmp +$ mv struct.eqn{.tmp,} #with some custom cleanup (NAND, moving !x...) + +.CT Network Structure from Berkeley's ABC +a = NAND(y,x) * z; +16 = !w * !y; +17 = x * !w; +18 = 17 + 16; +20 = !z * y; +21 = 20 + 18; +23 = z + !x; +b = NAND(23,21); +25 = !16; +26 = z + !y; +27 = 26 + 17; +28 = y * w; +29 = NAND(z,x); +30 = 29 + 28; +c = 25 * 30 * 27; +32 = z * !y; +33 = 32 + 20; +34 = 33 * w; +35 = !z + y; +36 = 18 * 35 * 23; +d = 36 + 34; +38 = !z * x; +e = 38 * 16; +40 = 28 * 38; +41 = 32 * 17; +f = 41 + 40; +43 = !x * w; +44 = 43 + 26; +45 = 35 + x; +g = NAND(45,44); + +Total cost: +- 12 2AND = 3 74LS08 +- 4 NAND = 1 74LS00 +- 5 NOT = 1 74LS04 +- 2 3AND = 1 74LS11 +- 12 OR = 3 74LS32 + +.FIL = +.CT Logic Diagram + +See attached circ.ps (PostScript) for a logic diagram +.FIL = +.CT Difficulties + +This project was, by itself, very doable. However, creation of this document was either to be tedious or difficult because of, for example, the centered headings. I used a C program (https://git.hrhr.dev/badroff) to generate that. The remainder of the project is very likely to be correct because the data table appears to be exactly what's desired, and it was trivial to throw that into abc. Learning abc, at first, appeared to be difficult, but throwing some random sequences of optimization commands with the pla and gate formats was fairly easy. -- cgit