GATE ECE 2017 Set 2 | Question: 45

Question

A programmable logic array (PLA) is shown in the figure.

 

The Boolean function $F$ implemented is

• A. $\overline{P} \: \overline{Q}R+ \overline{P}QR+P \overline{Q}  \:  \overline{R}$
• B. $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+\overline{R})$
• C. $\overline{P} \: \overline{Q}R+\overline{P}QR+P \overline{Q}R$
• D. $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+R)$