Question

simplify the boolean expression A+B(A+C) +AC? ​

Answer 1

Answer:

Explanation:

"+" --> OR

"." --> AND

A + B . (A+C) + A.C

A + B.A + B.C + A.C

A . (1+B) + B.C + A.C

A. (1) + B.C + A.C --> (1 OR B -> 1)

A + B.C + A.C

A. (1 + C) + B.C --> (1 OR C -> 1)

A + B.C

Answer 2

Answer:

Explanation:

AB + A'C + BCAB+A′C+BC=AB+A′C+BC(A+A′)(A+A′=1, Complementarity law)=AB+A′C+ABC+A′BC=AB+ABC+A′C+ABC(Associative law)=AB+A′C(Absorption law)