Question

If A & B are Boolean variables and if A=1 & A+B=0, Find B?

Answer 1

Answer:

answer is B=1

Explanation:

A=1

A+B=0

1+B=0

B=0-1

B=-1 Ans

Answer 2

If A and B are Boolean variables and if A=1 & A+B=0, then no such value of B exists.

• If A=1 and A+B=0
• According to the property of Boolean addition,

1 + B = 1

• For any value of B the value of the Boolean expression is always equal to 1.

• Therefore, if A+B = 0, then A and B both must be equal to 0.

• The truth table of Boolean addition is :

A  B  A+B

0  0    0

0   1     1

1    0    1

1     1    1

• The value of A+B=0 is only true if and only if both the variables in the boolean expression are 0.