Computer Science

Using a truth table, verify the following expression:
X + (Y + Z) = (X + Y) + Z

Boolean Algebra

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Answer

XYZY+ZX+(Y+Z)(X+Y)(X+Y)+Z
0000000
0011101
0101111
0111111
1000111
1011111
1101111
1111111

As the values of columns X+(Y+Z) and (X+Y)+Z are identical, hence the expression is proved.

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