Question

The simplified form of logic expression AB' + A'B' + A'B + AB is​

Answer 1

Given,

AB' + A'B' + A'B + AB

To find,

The simplified form of the logic expression

Solution,

The simplified form of the logic expression AB' + A'B' + A'B + AB is 1.

We can simply solve the mathematical problem by the following method.

∴ AB' + A'B' + A'B + AB

⇒ A ( B' + B ) + A' ( B' + B )

⇒ ( A + A' ) ( B + B' )

Now,

We know that,

A + A' = 1

B + B' = 1

From the above two statements, it can be concluded that,

⇒ AB' + A'B' + A'B + AB is equal to 1.

Thus, the value of AB' + A'B' + A'B + AB is 1.