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Which are the essential prime implicants of the following Boolean function?

$f(a, b, c)= a' c+ ac'+b' c$

  1. $a' c$ and $ac'$
  2. $a' c$ and $b' c$
  3. $a' c$ only.
  4. $ac'$ and $bc'$
asked in Digital Logic by Veteran (59.5k points)
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1 Answer

+14 votes
Best answer
Answer : A.

Using K map $f = ac' + a'c$
answered by Loyal (9k points)
edited by
0
yes you are right, b'c is selective prime implicant.
+2

Just to see it visually ;)

Clearly $A\bar{C}$ and $\bar{A}C$ cover cells that are not covered by any others.

Answer:


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