**NOTE**: In October 2016 GO Book(page no. 765) it is given *ad' + (ac)' + bc'd , *middle term is wrong there.

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+17 votes

Consider the following expression

$a\bar d + \bar a \bar c + b\bar cd$

Which of the following expressions does not correspond to the Karnaugh Map obtained for the given expression?

- $\bar c \bar d+ a\bar d + ab\bar c + \bar a \bar cd$
- $\bar a\bar c + \bar c\bar d + a\bar d + ab\bar cd$
- $\bar a\bar c + a\bar d + ab\bar c + \bar cd$
- $\bar b\bar c \bar d + ac\bar d + \bar a \bar c + ab\bar c$

+25 votes

Best answer

$ad'$ [fill minterm in K-map in front for $a$ and $d'$ ]

Similarly, fill all minterms for $ad'+a'c' +bc'd$, resulting K-map will be:

** Option (a)** $c'd'+ ad' + abc' + a'c'd$

is equivalent to given expression

Option (**b) **$a'c' + c'd' + ad' + abc'd$

is equivalent to given expression.

Option (**c)** $a'c' + ad' + abc' + c'd$

is not equivalent to given expression.

**Option (d)** $b'c'd' + acd' + a'c' + abc'$

is equivalent to given expression.

So, answer is **C.**

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