Course : Logic Design

For the following truth table

a) Write f in the form of canonical sum of product

b) Write f in the form of canonical product of sum

c) Simplify f using Boolean Algebra

d) Simplify f using Karnaugh Map

e) Realise f

\begin{tabular}{|l|l|l|l|} \hline X & Y & Z & f \\ \hline 0 & 0 & 0 & 0 \\ \hline 0 & 0 & 1 & 1 \\ \hline 0 & 1 & 0 & 0 \\ \hline 0 & 1 & 1 & 1 \\ \hline 1 & 0 & 0 & 0 \\ \hline 1 & 0 & 1 & 0 \\ \hline 1 & 1 & 0 & 0 \\ \hline 1 & 1 & 1 & 1 \\ \hline \end{tabular}