Tip:A–D to answerE for explanationV for videoS to reveal answer
The equivalence of given expression x + x'y with Boolean theorem is ______.
- A.
x
- B.
x + y
(Correct Answer) - C.
x'
- D.
0
Explanation
The correct answer is x + y.
To solve X+X'Y
Use X.1 = X,
= X.1 + X'Y
Use 1 + Y = 1
= X(1 + Y) + X'Y
= X + XY + X'Y
= X + Y(X + X')
Use X + X' = 1
= X + Y.1
Use Y.1 = Y
= X + Y
Hence answer is X+Y.
Explanation
The correct answer is x + y.
To solve X+X'Y
Use X.1 = X,
= X.1 + X'Y
Use 1 + Y = 1
= X(1 + Y) + X'Y
= X + XY + X'Y
= X + Y(X + X')
Use X + X' = 1
= X + Y.1
Use Y.1 = Y
= X + Y
Hence answer is X+Y.
