Aspire Faculty ID #11201 · Topic: NIMCET 2022 · Just now
NIMCET 2022

Which of the following is equivalent to the Boolean expression: 
$(X+Y).(X+\overline{Y}).(\overline{X}+Y)$

Solution

$(X+Y).(X+\overline{Y}).(\overline{X}+Y)$
=$(X+Y)(X+Y')(X'+Y)$
=$(XX+XY+YX+YY')(X'+Y)$
=$(X+XY)(X'+Y)$
=$X(1+Y)(X'+Y)$
=$X(X'+Y)$
=$XX'+XY$
=$XY$
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