# Digital Logic Design Revised

 $$x$$ $$y$$ $$z$$ $$f(x,y,z)$$ 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0

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.

×