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Boolean Logic A. Show the truth table for this expression: X AND (Y XOR X) B....

Boolean Logic

A. Show the truth table for this expression: X AND (Y XOR X)

B. Show the truth table for this expression: Y OR (Y AND NOT X)

C. Show the truth table for this expression: X NOR (Y NAND X)

D. Draw a digital logic circuit for the expression used in 3A.

E. Draw a digital logic circuit for the expression used in 3B.

F. Draw a digital logic circuit for the expression used in 3C.

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Answer #1

A. Truth Table for X AND (Y XOR X)

X Y Y XOR X X AND (Y XOR X)
0 0 0 0
0 1 1 0
1 0 1 1
1 1 0 0

B.

X Y NOT X Y AND NOT X Y OR (Y AND NOT X)
0 0 1 0 0
0 1 1 1 1
1 0 0 0 0
1 1 0 0 1

C.

X Y Y NAND X X NOR (Y NAND X)
0 0 1 0
0 1 1 0
1 0 1 0
1 1 0 0

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