JAMB - Computer Studies (2023 - No. 79)
Using Boolean identities, reduce the given Boolean expression:
A(A+1) + A(B+0) + C.1
A(A+1) + A(B+0) + C.1
A + B + C
A.B.C
A.B + C
A + C
ব্যাখ্যা
Using Boolean identities, the given Boolean expression A(A+1) + A(B+0) + C.1 can be reduced as follows: A.1 + A.B + C = A + A.B + C = A + C. The Boolean identity A + A.B = A is used here, which states that if A is true, the whole expression is true regardless of the value of B.