Question

What is the reduced form of the function F= X(X+Y)+X(X'+Y)

Answer 1

Answer:

x is reduced........

Explanation:

....

Answer 2

The reduced form of the function F= X(X+Y)+X(X'+Y) is X

F= X(X+Y)+X(X'+Y)  (Given)

Solving as per various laws -

F = (X.X) + (X.Y) + (X.X') + (X.Y)  ( Distributive law )

F = X + (X.Y) + 0 + (X.Y)    ( Idempotent law )

= X + (X.Y)  ( Idempotent law )

= X ( 1+Y)  ( Identity law )

= X   ( Annulment law )

Thus, the reduces value is X.