Question

8. Make the truth table and logic gates (1) XY + XYZ + XYZ

xyz teeno ke upar bar lga hai
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Answer 1

For a 2-input AND gate, the output Q is true if BOTH input A “AND” input B are both true, giving the Boolean Expression of: ( Q = A and B ). Note that the Boolean Expression for a two input AND gate can be written as: A.B or just simply AB without the decimal point.

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Answer 2

Answer:

X Y Z Y+Z X+(Y+Z) (X+Y) (X+Y)+Z

0 0 0 0 0 0 0.

0 0 1 1 1 0 1.

0 1 0 1 1 1 1.

0 1 1 1 1 1 1.

1 0 0 0 1 1 1.

1 0 1 1 1 1 1.

1 1 0 1 1 1 1.

1 1 1 1 1 1 1.

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

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