Use a truth table to prove the identity ABABABB Use a truth

Use a truth table to prove the identity (A+B)(A¯B+AB)=B

Use a truth table to prove the identity (A + B)(A + AB) = B. Drag the appropriate labels to their respective targets. Note: all targets should be filled in.

Solution

As shown above, the column B and last column are equal

Hence proved

A	B	A+B	A\'	AB	A\'+AB	(A+B)(A\'+AB)
0	0	0	1	0	1	0
0	1	1	1	0	1	1
1	0	1	0	0	0	0
1	1	1	0	1	1	1