Check sibling questions

Name the law shown below & verify it using a truth table.

 

Answer:

X + X’.Y = X + Y

The law in the given boolean expression is distributive law.

Truth Table:

X

Y

X’

X’.Y

X+X’Y

X+Y

0

0

1

0

0

0

0

1

1

1

1

1

1

0

0

0

1

1

1

1

0

0

1

1

The values of column X+X’Y and column X+Y match.

Hence, the expression X + X’.Y = X + Y is verified.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.