35. Boolean algebra

Boolean algebra is a fundamental concept of logical mathematics developed by George Bool in the middle19th century. The combinational circuit can be expressed by the Boolean expression of fundamental Boolean algebra, and the digital circuitry can execute the operation only by “High (High)” and “Low (Low)” voltage by the logical expression of Boolean algebra.

Theorem Explanation

Theorem 1

Theorem 2

Theorem 3

Idempotent law

Theorem 4

Idempotent law

Theorem 5

Complement law

Theorem 6

Complement law

Theorem 7

Double negative

Theorem 8

Theorem 9

Theorem 10

Commutative rlaw

Theorem 11

Commutative law

Theorem 12

Distribution law

Theorem 13

Associative law

Theorem 14

Theorem 15

Theorem 16

Theorem 17

Theorem 18

Theorem 19

Theorem 20

Theorem 21

De Morgan’s law

Theorem 22

De Morgan’s law

Theorem 23

Theorem 24

Theorem 25

Theorem 26