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'

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'

Quizplus · Accepted Answer

The canonical sum of product form of a function includes all the minterms for which the function is true. For the given function y(A,B) = A + B, the function is true for three conditions: when A is true and B is false (A and not B), when A is false and B is true (not A and B), and when both A and B are true. These conditions correspond to the minterms ab', a'b, and ab, respectively, which are all included in option B.

The Canonical Sum of Product Form of the Function Y(A,B)