Page 35 - Handout Digital Electronics

Summary of Relationships in Boolean algebra

T1 (a) A+B = B+A

(b) A.B = B.A

T2 (a) (A+B) +C = A+ (B+C)

(b) (A.B). C = A. (B.C)

T3 (a) A. (B+C) = A.B+A.C

(b) (A+B). (A+C) = A+B.C

T4 (a) A+A=A
(b) A.A = A

A = A
T5
A = A

T6 (a) A+A.B = A

(b) A. (A+B) =A

T7 (a) 0+A = A

(b) 1+A =1

(c) 1.A = A

(d) 0.A = 0

T8 (a) A + A = 1

(b) A.A = 0

T9 (a) A + A.B = A + B

(b) A.(A + B) = A.B

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