Question

The logical expression y = a + a'b is equivalent to

Answer 1

This discussion on The logical expression Y = A + AB is equivalent toa)Y = ABb)Y = ABc)Y = A + Bd)Y = A + ... ans A+A'B =(A+A')(A+B) since A+A'=1.

Answer 2

Given:

y = a + a'b

To find:

Equivalent logical expression for y = a + a'b

Solution:

y = a + a'b

⇒ y = (a + a') (a + b)

Because, we have,

y = aa + ab + a'a + a'b

y = a + ab + a'b

y = a (1 + b) + a'b

y = a + a'b

Therefore, now consider,

y = (a + a') (a + b)

y = (1)  (a + b)

∴ y = a + b