Tip:A–D to answerE for explanationV for videoS to reveal answer
Assume x' represents negation of x the Boolean function x'y' + xy + x'y is equivalent to?
- A.
x' + y
(Correct Answer) - B.
x + y
- C.
x + y'
- D.
x' + y'
Explanation
The correct answer is x' + y.
To find the equivalent of x'y' + xy + x'y,
First take x' common from x'y' + x'y
= xy + x'(y + y')
Use A + A' = 1
= xy + x'. 1
Use (A+BC)= (A+B)(A+C)
= (x + x’)(y + x')
Use A + A' = 1
= 1.(x’ + y)
Hence (x’ + y) is the answer.
Explanation
The correct answer is x' + y.
To find the equivalent of x'y' + xy + x'y,
First take x' common from x'y' + x'y
= xy + x'(y + y')
Use A + A' = 1
= xy + x'. 1
Use (A+BC)= (A+B)(A+C)
= (x + x’)(y + x')
Use A + A' = 1
= 1.(x’ + y)
Hence (x’ + y) is the answer.
