The Boolean expression x + xy will be equal to:
2023
The Boolean expression x + xy will be equal to:
Answer: A. x — The identity x + xy = x is the absorption law. One way to prove it is: x + xy = x(1 + y) = x · 1 = x. Since 1 + y = 1, the expression simplifies to x.
- A.
x
- B.
y
- C.
x+y
- D.
More than one of the above
- E.
None of the above
Attempted by 2846 students.
Show answer & explanation
Correct answer: A
The identity x + xy = x is the absorption law.
One way to prove it is: x + xy = x(1 + y) = x · 1 = x.
Since 1 + y = 1, the expression simplifies to x.
Loading lesson…