If \(w, x, y, z\) are Boolean variables, then which one of the following is…

GATE · 2017 · CS · Set 2 · Computer Science & IT

If w,x,y,zw, x, y, z are Boolean variables, then which one of the following is INCORRECT?

  1. A.

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

  2. B.

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

  3. C.

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

  4. D.

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

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