Reduce form of the question function f=x(x+y)+x(xbar+y)?
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Answer:
f = X (X + Y) + X ( X' + Y )
f = XX + XY + XX' + XY || XY common ,
f = X + XY + 0
f = X + XY
verification:
XX = X , if X = 1 , 1.1 = 1 or If X = 0 , 0.0 = 0
XX' = 0 , If X = 1 , X'=0 then 1.0 = 0 and vice- versa.
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