Check sibling questions

Using Boolean logic, verify using truth table that X + XY = X for each X, Y in {0,1}

 

Answer:

Truth table for all possible combination of values of X,Y:

X

Y

XY

X+XY

0

0

0

0

0

1

0

0

1

0

0

1

1

1

1

1

The values of column X and column X+XY match.

Hence, the expression X+XY = X 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.