Consider the following minterm expression for F: F(P, Q, R, S)=\sum 0,2,5,7,8,10,13, 15. The minterms 2, 7, 8 and 13 are don't care terms. The minimal sum of products form for {\F} is:

\overline{ {\Q}} \overline{ {\S}}+ {\QS}

\overline{Q} \overline{R} \overline{S}+\overline{Q} R \overline{S}+Q \overline{R} S+Q R S

\overline{ {\P}} \overline{ {\Q}} \overline{ {\S}}+\overline{ {\P}} {\QS}+ {\PQS}+ {\P} \overline{ {\Q}} \overline{ {\S}}

NIMCET 2023 Question Paper with solutions

Question : 105 of 120

Marks: +1, -0

Consider the following minterm expression for

F: F(P, Q, R, S)=Σ 0,2,5,7,8,10,13

, 15. The minterms 2, 7, 8 and 13 are don't care terms. The minimal sum of products form for

{\F}

is:

$\ov{Q} S+Q \ov{S}$
$\ov{ {\Q}} \ov{ {\S}}+ {\QS}$
$\ov{Q} \ov{R} \ov{S}+\ov{Q} R \ov{S}+Q \ov{R} S+Q R S$
$\ov{ {\P}} \ov{ {\Q}} \ov{ {\S}}+\ov{ {\P}} {\QS}+ {\PQS}+ {\P} \ov{ {\Q}} \ov{ {\S}}$

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