Digital Logic Design Revised

\(x\)\(y\)\(z\)\(f(x,y,z)\)
0000
0010
0100
0111
1000
1011
1101
1110

What is the \(\text{minimum}\) number of \(\text{AND}\), \(\text{OR}\) and \(\text{NOT}\) gates used to implement the \(\text{Boolean Function} \) \(f(x,y,z)\) described above?

Details and assumptions:

  • You cannot use gates other than mentioned ones.

  • You are free to use either the two-input or three-input or four-input logic gates or so whereas \(\text{NOT}\) gate is always a uni-input gate.

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