A programmable logic array (PLA) is shown in the figure. The Boolean function…

GATE · 2017 · EC · Set 2 · Electronics and Communication Engineering

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

PLA with inputs P,Q,R and their complements; three marked AND-plane product rows feed a single OR output F.

The Boolean function F implemented is

  1. A.

    P‾ Q‾R+P‾QR+PQ‾ R‾\overline P\,\overline Q R+\overline P Q R+P\overline Q\,\overline R

  2. B.

    (P‾+Q‾+R)(P‾+Q+R)(P+Q‾+R‾)(\overline P+\overline Q+R)(\overline P+Q+R)(P+\overline Q+\overline R)

  3. C.

    P‾ Q‾R+P‾QR+PQ‾R\overline P\,\overline Q R+\overline P Q R+P\overline Q R

  4. D.

    (P‾+Q‾+R)(P‾+Q+R)(P+Q‾+R)(\overline P+\overline Q+R)(\overline P+Q+R)(P+\overline Q+R)

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