Boolean Algebra
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In boolean algebra the values of variables are true (1) or false (0).
BUF
y = a (1)
| a | y |
|---|---|
| 0 | 0 |
| 1 | 1 |
AND
y = a & b (2)
| a | b | y |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
OR
y = a | b (3)
| a | b | y |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
.
XOR
y = a ⊻ b (4)
| a | b | y |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
NOT
y = a (5)
| a | y |
|---|---|
| 0 | 1 |
| 1 | 0 |
NAND
y = a & b (6)
| a | b | y |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
.
NOR
y = a | b (7)
| a | b | y |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
XNOR
y = a ⊻ b (8)
| a | b | y |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
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