Question

Minimize the expression :
F (a, b) = ab + a b' + a'b.​

Answer 1

Answer: a + b

Step-by-step explanation:

The given Boolean expression is :

F(a,b) = ab + ab’ + a’b

We require the following Basic Identities of Boolean Algebra:

(i) b + b’ = 1

(ii) a (b + c) = a.b + a.c

(iii) a + a’b = a + b

Now, let’s solve the above expression using the identities,

ab + ab’ + a’b

= a(b+b’) + a’b …… [using basic identity (ii)]

= a.1 + a’b ….. [using basic identity (i)]

= a + a’b

= a + b ….. [using basic identity (iii)]

Answer 2

Answer:

a (a minus b) a + b (a minus b)