# Boolean Algebra

## Summary of primitive logic functions

In boolean algebra the values of variables are true (1) or false (0).

### BUF

y = a                        (1)

ay
0 0
1 1

### AND

y = a & b                        (2)

aby
0 0 0
0 1 0
1 0 0
1 1 1

### OR

y = a | b                        (3)

aby
0 0 0
0 1 1
1 0 1
1 1 1

### XOR

y = a ⊻ b                    (4)

aby
0 0 0
0 1 1
1 0 1
1 1 0

### NOT

y = a                     (5)

ay
0 1
1 0

### NAND

y = a & b                    (6)

aby
0 0 1
0 1 1
1 0 1
1 1 0

### NOR

y = | b                     (7)

aby
0 0 1
0 1 0
1 0 0
1 1 0

### NOR

y = b                     (8)

aby
0 0 1
0 1 0
1 0 0
1 1 1

## Related Topics

• Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more

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