The boolean function A + BC is a reduced form of ____________
A. AB + BC
B. (A + B)(A + C)
C. A’B + AB’C
D. (A + C)B
Answer:B
The boolean function A + BC is a reduced form of ____________
A. AB + BC B. (A + B)(A + C) C. A’B + AB’C D. (A + C)B
Explanation: (A + B)(A + C) = AA + AC + AB + BC = A + AC + AB + BC (By Commutative Property) = A(1 + C + B) + BC = A + BC (1 + B + C =1 By 1’s Property).