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Prime Implicant

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Quine-McCluskey<br />

Quine McCluskey Method<br />

Cover: A switching function f(x (x1,x ,x2,…,xn) ) is said to<br />

cover another function g(x (x1,x ,x2,…,xn), ), if f assumes the<br />

value 1 whenever g does.<br />

<strong>Implicant</strong> : Given a function F of n variables, a<br />

product term P is an implicant of F iff for every<br />

combination of values of the n variables for which<br />

P=1 , F is also equal 1.That is, P=1 implies F=1. F=1<br />

Cover:<br />

<strong>Implicant</strong><br />

<strong>Prime</strong> <strong>Implicant</strong>: <strong>Implicant</strong> A<br />

<strong>Prime</strong><br />

A prime implicant of a<br />

function F is a product term implicart which is no<br />

longer an implicant if any literal is deleted from it.<br />

Essential <strong>Prime</strong> <strong>Implicant</strong>: <strong>Implicant</strong> If<br />

If a minterm is<br />

covered by only one prime implicant, implicant,<br />

then that prime<br />

implicant is called an essential prime implicant.<br />

implicant<br />

Unit 06 3

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