Implementation of lots-a-gates
Truth table for lots-a-gates
Inputs |
Outputs |
S2 |
S1 |
S0 |
I2 |
I1 |
I0 |
N2 |
N1 |
N0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 |
0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 |
0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 |
0 | 0 | 0 | 1 | 0 | 1 | ? | ? | ? |
0 | 0 | 0 | 1 | 1 | 0 | ? | ? | ? |
0 | 0 | 0 | 1 | 1 | 1 | ? | ? | ? |
0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |
0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 |
0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 |
0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 |
0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 |
0 | 0 | 1 | 1 | 0 | 1 | ? | ? | ? |
0 | 0 | 1 | 1 | 1 | 0 | ? | ? | ? |
0 | 0 | 1 | 1 | 1 | 1 | ? | ? | ? |
0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 |
0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 |
0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 |
0 | 1 | 0 | 1 | 0 | 1 | ? | ? | ? |
0 | 1 | 0 | 1 | 1 | 0 | ? | ? | ? |
0 | 1 | 0 | 1 | 1 | 1 | ? | ? | ? |
0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 |
0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 |
0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 |
0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 |
0 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 |
0 | 1 | 1 | 1 | 0 | 1 | ? | ? | ? |
0 | 1 | 1 | 1 | 1 | 0 | ? | ? | ? |
0 | 1 | 1 | 1 | 1 | 1 | ? | ? | ? |
1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 |
1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
1 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 1 |
1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 |
1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 1 |
1 | 0 | 0 | 1 | 0 | 1 | ? | ? | ? |
1 | 0 | 0 | 1 | 1 | 0 | ? | ? | ? |
1 | 0 | 0 | 1 | 1 | 1 | ? | ? | ? |
1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 |
1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 |
1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 1 |
1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 |
1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 |
1 | 0 | 1 | 1 | 0 | 1 | ? | ? | ? |
1 | 0 | 1 | 1 | 1 | 0 | ? | ? | ? |
1 | 0 | 1 | 1 | 1 | 1 | ? | ? | ? |
1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 |
1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 1 |
1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 |
1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 |
1 | 1 | 0 | 1 | 0 | 1 | ? | ? | ? |
1 | 1 | 0 | 1 | 1 | 0 | ? | ? | ? |
1 | 1 | 0 | 1 | 1 | 1 | ? | ? | ? |
1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 |
1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 |
1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 0 | 1 | ? | ? | ? |
1 | 1 | 1 | 1 | 1 | 0 | ? | ? | ? |
1 | 1 | 1 | 1 | 1 | 1 | ? | ? | ? |
Sigma for lots-a-gates
- N2 =
Σ(1,2,3,4,10,11,12,17,18,19,20,25,26,27,28,32,33,34,35,36,40,41,42,43,44,48,49,50,51,52,56,57,58,59,60)
+
d(5,6,7,13,14,15,21,22,23,29,30,31,37,38,39,45,46,47,53,54,55,61,62,63)
- N1 =
Σ(1,2,3,4,9,11,12,16,17,18,19,20,24,25,27,28,32,33,34,36,40,41,42,43,44,48,49,50,51,52,56,57,58,59,60)
+
d(5,6,7,13,14,15,21,22,23,29,30,31,37,38,39,45,46,47,53,54,55,61,62,63)
- N0 =
Σ(0,1,2,3,4,8,11,12,16,17,18,19,20,24,25,27,28,33,34,35,36,41,42,43,44,49,50,51,52,56,57,58,59,60)
+
d(5,6,7,13,14,15,21,22,23,29,30,31,37,38,39,45,46,47,53,54,55,61,62,63)
Espresso input for lots-a-gates
# lots-a-gates
.i 6
.o 3
.ilb S2 S1 S0 I2 I1 I0
.ob N2 N1 N0
.p 64
000000 001
000001 111
000010 111
000011 111
000100 111
000101 ---
000110 ---
000111 ---
001000 001
001001 010
001010 100
001011 111
001100 111
001101 ---
001110 ---
001111 ---
010000 011
010001 111
010010 111
010011 111
010100 111
010101 ---
010110 ---
010111 ---
011000 011
011001 111
011010 100
011011 111
011100 111
011101 ---
011110 ---
011111 ---
100000 110
100001 111
100010 111
100011 101
100100 111
100101 ---
100110 ---
100111 ---
101000 110
101001 111
101010 111
101011 111
101100 111
101101 ---
101110 ---
101111 ---
110000 110
110001 111
110010 111
110011 111
110100 111
110101 ---
110110 ---
110111 ---
111000 111
111001 111
111010 111
111011 111
111100 111
111101 ---
111110 ---
111111 ---
.e
Espresso output for lots-a-gates
# lots-a-gates
.i 6
.o 3
.ilb S2 S1 S0 I2 I1 I0
.ob N2 N1 N0
.p 13
0---00 001
111--- 001
--0-10 011
-1--0- 010
0---11 011
----01 010
1---1- 001
1----0 110
1-1--1 111
--0--1 101
----1- 100
-1---1 111
---1-- 111
.e
Espresso functions
- N2 = S2 I0' + S2 S0 I0 + S0' I0 + I1 + S1 I0 + I2
- N1 = S0' I1 I0' + S1 I1' + S2' I1 I0 + I1' I0 + S2 I0' + S2 S0 I0 + S1 I0 + I2
- N0 = S2' I1' I0' + S2 S1 S0 + S0' I1 I0' + S2' I1 I0 + S2 I1 + S2 S0 I0 + S0' I0 + S1 I0 + I2