top of page

Construct the truth table for the expression (A&(A∨B)). What single term is this expression equal to?

Let us start by constructing the truth table for A∨B.

A

B

A∨B

T

T

T

T

F

T

F

T

T

F

F

F

Now, let us extend this truth table to include A&(A∨B).

A

B

A∨B

A&(A∨B)

T

T

T

T

T

F

T

T

F

T

T

F

F

F

F

F

As we can see that the truth column for A&(A∨B) is the same as the truth table for A. Hence, we can say that A&(A∨B) = A. In other words, the single term which this expression is equal to is A.

239 views0 comments

Comments


bottom of page