Question

Canyou Simplify X = A’B’CD’+A’BC’D+A’BCD+ABC’D+ABCD+AB’CD
Using K Map [5 marks]

Answer 1

Answer:

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Answer 2

Given:

X = A’B’CD’+A’BC’D+A’BCD+ABC’D+ABCD+AB’CD

To find:

We have to find the minimized expression for given

The expression is sum of products form

By Using K-Map:

We need to find how many variable K-map we have to consider

As this expression is 4 variable we consider 4 variable K-Map

X = A’B’CD’ + A’BC’D + A’BCD+  ABC’D+ ABCD+ AB’CD

      0 0 1 0    0 1 0 1     0 1 1 1    1 1 0 1         1 1 1 1      1 0 1 1  

For example :

A’B’CD’-00 10 so we mark the box wit 00 as AB and 10 as CD as 1

0- A’ Or B’ or C’ or D’

1- A or B or C or D

After this we have to group them :

Grouping:

The transparent rectangles indicates the terms that are grouped

It is grouped and indicates A’B’CD’

It is grouped indicates AB’CD

It is grouped indicates BD

Therefore,

Finally

X= A’B’CD’+ AB’CD+ BD