Boolean function

Using Boolean algebra, simplify the Boolean function F = X’Y + XY’ + XY. Draw the logic circuit for the simplified function.

Let’s simplify the given Boolean function: F=X′Y+XY′+X First, group terms to factorize: F=(X′Y+XY′)+XY The term X′Y+XY′ is the Boolean expression for XOR, so we have: F=(X⊕Y)+XY Now, we simplify further by noting that the expression (X⊕Y)+XY is just an OR operation between the XOR of X and Y and the AND of X and Y. This … Read more

What is meant by the complement of a Boolean function?

The complement of a Boolean function is the inverse of the function, where all the logic values are inverted. If the function is represented as F, then the complement is denoted as F’, which is obtained by changing all 1s to 0s and vice versa. The complement operation can be calculated using De Morgan’s laws … Read more