Question

Write T (true) or F (false) for each of these Boolean equations: [2]

a. A’⊕ B’ = A ⊕ B
b. (A + B + C)’ = A’B’C’

Answer 1

For the given Boolean equations A’⊕ B’ = false and (A + B + C)’ = false.

Step-by-step explanation:

For the given Boolean equations:

a. A’⊕ B’ = false

b. (A + B + C)’ = false

In equation a, A’⊕ B’ = false because the XOR operation only outputs true when the inputs are different, but in this case, both A' and B' are the same. Therefore, the result is false.

In equation b, (A + B + C)’ = false because the NOT operation negates the result, so if the expression inside the parentheses evaluates to true, the final result would be false and vice versa. In this case, if A + B + C evaluates to true, the negation will result in false.