Question

अभिव्यक्ति को संक्षिप्त कीजिए :
F(a, b) = ab + a b' + a' b
(A) a+b (B) a+b'
(C) a+b' (D) a+b​

Answer 1

Answer: (D) a+b

Step-by-step explanation:

The given Boolean expression is :

F(a,b) = ab + ab’ + a’b

Required 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)]