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Question

ICT Question on Computer Literacy

If w, x, y, are Boolean variables, then which of the following is incorrect?

A

wx+w(x + y) + x(x+y)=x+wy

B

wxˉ(y+zˉ)+wˉx=wˉ+x+yˉz\overline{w\bar{x}(y+\bar{z})}+\bar{w}x=\bar{w}+x+\bar{y}z

C

(wxˉ(y+xzˉ)+wˉxˉ)y=xyˉ(w\bar{x}(y+x\bar{z})+\bar{w}\bar{x})y=x\bar{y}

D

(w+y)(wxy+ wyz) = wxy + wyz

Answer

(wxˉ(y+xzˉ)+wˉxˉ)y=xyˉ(w\bar{x}(y+x\bar{z})+\bar{w}\bar{x})y=x\bar{y}

Explanation

Solution

The correct answer is(C): (wxˉ(y+xzˉ)+wˉxˉ)y=xyˉ(w\bar{x}(y+x\bar{z})+\bar{w}\bar{x})y=x\bar{y}