Question

You are required to implement a logic function f = ab + ac in its minimal form. You can use any combination
of 2-input logic gates. What is the minimum number of logic gates required to implement f?
a. 1 gate b. 4 gates c. 3 gates d. 2 gates

Answer 1

In above picture , i ahve drawn two figures both for SOP and POS form

fig1 is POS form and fig2 is SOP form.

For multiplication we are using AND gates and for sum we are using OR gate

In fig 1 - b and c are first added using OR gate then the output (a+b) is given to AND gate with 'a' which gives a(b+c)

In fig 2 - b and a are multiplied in one AND gate ,c and a are multiplied in another AND gate then output of both the AND gates are given to OR gate which gives result= ab+ac

For next question answer is 2 gates as we have used in our diagram in above picture