Question

The canonical sum of product form of the function y(A,B) = A + B is __________

(a) AB + BB + A’A

(b) AB + AB’ + A’B

(c) BA + BA’ + A’B’

(d) AB’ + A’B + A’B’

This question was posed to me in an interview for job.

Question is taken from Sum of Products and Products of Sum topic in portion Boolean Algebra and Minimization Techniques and Logic Gates of Digital Circuits

Answer 1

Correct option is (b) AB + AB’ + A’B

Explanation: A + B = A.1 + B.1 = A(B + B’) + B(A + A’) = AB + AB’ + BA +BA’ = AB + AB’ + A’B = AB + AB’ + A’B.