The Boolean expression x(x+y) is equal to
2023
The Boolean expression x(x+y) is equal to
- A.
x
- B.
y
- C.
xy
- D.
More than one of the above
- E.
None of the above
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Correct answer: A
To simplify the Boolean expression x(x+y), we use the distributive law: x(x+y) = x·x + x·y In Boolean algebra, x·x = x, so: x + x·y Factor out x: x(1 + y). Since 1 + y = 1 in Boolean algebra, we get: x·1 = x Thus, x(x+y) simplifies to x.