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What is the minimal form of the Karnaugh map shown below? Assume that X denotes a don’t care term

What is the minimal form of the Karnaugh map shown below? Assume that X denotes a don’t care term Correct Answer b̅ d̅ + b̅ c̅ 

The correct answer is “option 2”.

CONCEPT:

Karnaugh Map is used to simplify Boolean algebra expressions.

It is a graphical technique of simplifying Boolean expressions.

It is also known as K-map.

K-map contains two types of methods:

1. SOP (Sum Of Product): This produces logical expressions that contain OR of multiple AND terms.

Example: b̅.d̅ + d̅.c̅ 

2. POS (Product Of Sum): This produces logical expressions that contain AND of multiple OR terms.

Example: (b̅ + d̅)(d̅ + c̅)

EXPLANATION:

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The first quad will form from the K-map:

(ab – 00, 10, cd – 00,10)

Value is: b̅.d̅ 

The second quad will form from the K-map:

(ab – 00, 10, cd – 00,01)

Value is c̅.b̅

So, the minimal form of the given K-map is b̅.d̅ + c̅.b̅.

Hence, the correct answer is "option 2".

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