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← GATE CSE 2021 Set 2

Q52

NAT2 marks

Consider a Boolean function f(w,x,y,z)f(w,x,y,z) such that

f(w,0,0,z)=1f(1,x,1,z)=x+zf(w,1,y,z)=wz+y\begin{array}{lll} f(w,0,0,z) & = & 1 \\ f(1,x,1,z) & =& x+z \\ f(w,1,y,z) & = & wz +y \end{array}

The number of literals in the minimal sum-of-products expression of ff is _________

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