Boolean Arithmetic
|
| 0 |
0 |
|
OR | 0 | 1 |
| 1 |
1 | 1 |
|
0 | 0 | 1 |
| 2 |
2 | 3 | 2 |
|
1 | 1 | 1 |
| 3 |
3 | 3 | 3 | 3 |
| 4 |
4 | 5 | 6 | 7 | 4 |
| 5 |
5 | 5 | 7 | 7 | 5 | 5 |
| 6 |
6 | 7 | 6 | 7 | 6 | 7 | 6 |
| 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 8 |
8 | 9 | A | B | C | D | E | F | 8 |
| 9 |
9 | 9 | B | B | D | D | F | F | 9 | 9 |
| A |
A | B | A | B | E | F | E | F | A | B | A |
| B |
B | B | B | B | F | F | F | F | B | B | B | B |
| C |
C | D | E | F | C | D | E | F | C | D | E | F | C |
| D |
D | D | F | F | D | D | F | F | D | D | F | F | D | D |
| E |
E | F | E | F | E | F | E | F | E | F | E | F | E | F | E |
| F |
F | F | F | F | F | F | F | F | F | F | F | F | F | F | F | F |
| OR |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
|
|
| 0 |
0 |
|
AND | 0 | 1 |
| 1 |
0 | 1 |
|
0 | 0 | 0 |
| 2 |
0 | 0 | 2 |
|
1 | 0 | 1 |
| 3 |
0 | 1 | 2 | 3 |
| 4 |
0 | 0 | 0 | 0 | 4 |
| 5 |
0 | 1 | 0 | 1 | 4 | 5 |
| 6 |
0 | 0 | 2 | 2 | 4 | 4 | 6 |
| 7 |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 8 |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 8 |
| 9 |
0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 9 |
| A |
0 | 0 | 2 | 2 | 0 | 0 | 2 | 2 | 0 | 0 | A |
| B |
0 | 1 | 2 | 3 | 0 | 1 | 2 | 3 | 8 | 9 | A | B |
| C |
0 | 0 | 0 | 0 | 4 | 4 | 4 | 4 | 8 | 8 | 8 | 8 | C |
| D |
0 | 1 | 0 | 1 | 4 | 5 | 4 | 5 | 8 | 9 | 8 | 9 | C | D |
| E |
0 | 0 | 2 | 2 | 4 | 4 | 6 | 6 | 8 | 8 | A | A | C | C | E |
| F |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| AND |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
|
|
| 0 |
0 |
|
XOR | 0 | 1 |
| 1 |
1 | 0 |
|
0 | 1 | 0 |
| 2 |
2 | 3 | 0 |
|
1 | 0 | 1 |
| 3 |
3 | 2 | 1 | 0 |
| 4 |
4 | 5 | 6 | 7 | 0 |
| 5 |
5 | 4 | 7 | 6 | 1 | 0 |
| 6 |
6 | 7 | 4 | 5 | 2 | 3 | 0 |
| 7 |
7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
| 8 |
8 | 9 | A | B | C | D | E | F | 0 |
| 9 |
9 | 8 | B | A | D | C | F | E | 1 | 0 |
| A |
A | B | 8 | 9 | E | F | C | D | 2 | 3 | 0 |
| B |
B | A | 9 | 8 | F | E | D | C | 3 | 2 | 1 | 0 |
| C |
C | D | E | F | 8 | 9 | A | B | 4 | 5 | 6 | 7 | 0 |
| D |
D | C | F | E | 9 | 8 | B | A | 5 | 4 | 7 | 6 | 1 | 0 |
| E |
E | F | C | D | A | B | 8 | 9 | 6 | 7 | 4 | 5 | 2 | 3 | 0 |
| F |
F | E | D | C | B | A | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
| XOR |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
|
| | | | | |
| 0 |
F |
|
NOR | 0 | 1 |
| 1 |
E | E |
|
0 | 1 | 0 |
| 2 |
D | C | D |
|
1 | 0 | 0 |
| 3 |
C | C | C | C |
| 4 |
B | A | 9 | 8 | B |
| 5 |
A | A | 8 | 8 | A | A |
| 6 |
9 | 8 | 9 | 8 | 9 | 8 | 9 |
| 7 |
8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 |
7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | 7 |
| 9 |
6 | 6 | 4 | 4 | 2 | 2 | 0 | 0 | 6 | 6 |
| A |
5 | 4 | 5 | 4 | 1 | 0 | 1 | 0 | 5 | 4 | 5 |
| B |
4 | 4 | 4 | 4 | 0 | 0 | 0 | 0 | 4 | 4 | 4 | 4 |
| C |
3 | 2 | 1 | 0 | 3 | 2 | 1 | 0 | 3 | 2 | 1 | 0 | 3 |
| D |
2 | 2 | 0 | 0 | 2 | 2 | 0 | 0 | 2 | 2 | 0 | 0 | 2 | 2 |
| E |
1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 |
| F |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| NOR |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
|
|
| 0 |
F |
|
NAND | 0 | 1 |
| 1 |
F | E |
|
0 | 1 | 1 |
| 2 |
F | F | D |
|
1 | 1 | 0 |
| 3 |
F | E | D | C |
| 4 |
F | F | F | F | B |
| 5 |
F | E | F | E | B | A |
| 6 |
F | F | D | D | B | B | 9 |
| 7 |
F | E | D | C | B | A | 9 | 8 |
| 8 |
F | F | F | F | F | F | F | F | 7 |
| 9 |
F | E | F | E | F | E | F | E | F | 6 |
| A |
F | F | D | D | F | F | D | D | F | F | 5 |
| B |
F | E | D | C | F | E | D | C | 7 | 6 | 5 | 4 |
| C |
F | F | F | F | B | B | B | B | 7 | 7 | 7 | 7 | 3 |
| D |
F | E | F | E | B | A | B | A | 7 | 6 | 7 | 6 | 3 | 2 |
| E |
F | F | D | D | B | B | 9 | 9 | 7 | 7 | 5 | 5 | 3 | 3 | 1 |
| F |
F | E | D | C | B | A | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
| NAND |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
|
|
| 0 |
F |
|
XNOR | 0 | 1 |
| 1 |
E | F |
|
0 | 1 | 0 |
| 2 |
D | C | F |
|
1 | 0 | 1 |
| 3 |
C | D | E | F |
| 4 |
B | A | 9 | 8 | F |
| 5 |
A | B | 8 | 9 | E | F |
| 6 |
9 | 8 | B | A | D | C | F |
| 7 |
8 | 9 | A | B | C | D | E | F |
| 8 |
7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | F |
| 9 |
6 | 7 | 4 | 5 | 2 | 3 | 0 | 1 | E | F |
| A |
5 | 4 | 7 | 6 | 1 | 0 | 3 | 2 | D | C | F |
| B |
4 | 5 | 6 | 7 | 0 | 1 | 2 | 3 | C | D | E | F |
| C |
3 | 2 | 1 | 0 | 7 | 6 | 5 | 4 | B | A | 9 | 8 | F |
| D |
2 | 3 | 0 | 1 | 6 | 7 | 4 | 5 | A | B | 8 | 9 | E | F |
| E |
1 | 0 | 3 | 2 | 5 | 4 | 7 | 6 | 9 | 8 | B | A | D | C | F |
| F |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| XNOR |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
|
| | | | | |
| NOT |
|---|
| 0 | F |
|---|
| 1 | E |
|---|
| 2 | D |
|---|
| 3 | C |
|---|
| 4 | B |
|---|
| 5 | A |
|---|
| 6 | 9 |
|---|
| 7 | 8 |
|---|
| 8 | 7 |
|---|
| 9 | 6 |
|---|
| A | 5 |
|---|
| B | 4 |
|---|
| C | 3 |
|---|
| D | 2 |
|---|
| E | 1 |
|---|
| F | 0 |
|---|
|
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