How many squares will be there in a three variable Karnaugh map? 

How many squares will be there in a three variable Karnaugh map?  Correct Answer 8

Karnaugh map (K-map):

• The Karnaugh map (K-map) is a method of simplifying Boolean algebra expressions.
• The Karnaugh map reduces the need for extensive calculations.
• Karnaugh map can be explained as An array that contains 2k number of cells, where k is the number of variables in the Boolean expression that is to be reduced or optimized.

Number of cells in 2 variable k-map = 22 = 4
Number of cells in 3 variable k-map = 23 = 8
Number of cells in 4 variable k-map = 24 = 16

2 variable K-maps:
There are 4 cells in the 2-variable k-map as shown,

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3 variable K-maps:

• For a 3-variable Boolean function, there is a possibility of 8 output minterms.
• The general representation of all the minterms using 3-variables is shown below.

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