Question

simplify the logic function.
f=A'BCD + AB'CD + A'B'C'D'+ A'B'C'D'​

Answer 1

Answer:

Explanation:

a. F (A,B,C) = A’ B’ C’ + A’ B’ C + A B’ C’ + A B’ C + A B C’ + A B C

[Distributive]

= A’B’ (C’ + C) + AB’ (C’ + C) + AB (C’ + C) [ Complementarity]

= A’B’ + AB’ + AB [Idempotency]

= A’B’ + AB’ + AB’ +AB [ Distributive]

= B’ (A’ + A) + A (B’ + B) [ Complementarity]

= B’ + A

b. F(A,B) = (A’+B) ( A+B) [Distributive]

= AA’ + A’B+ AB+ BB [Complementarity ]

= A’B+AB+BB [Distributive]

= B ( A’+A+1) [Complementarity]

= B . 1 [ identity ]

= B