Answer to Question #270348 in Discrete Mathematics for Hemu

Question

6. (a) Draw the logic circuit for the following expression: AB + A(B+C)

(b) Simplify the expression in 6(a) by using the rules of Boolean algebra provided in (5). (c) Draw the simplified logic gate circuit derived in (b)

Answer 1

(a) Let us draw the logic circuit for the expression $AB + A(B+C):$

(b) Let us simplify the expression $AB + A(B+C)$ by using the rules of Boolean algebra:

$AB + A(B+C)=A(B+(B+C))=A((B+B)+C)=A(B+C)$

(c) Let us draw the simplified logic gate circuit derived in (b):