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1. Minimum number of gates needed to implement (x + ~x * y )(~x + x*~y)...

1. Minimum number of gates needed to implement (x + ~x * y )(~x + x*~y)

Note: ~ means not. Simplify to get the minimum cost.

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2. Simplify and find the minimum number of gates needed to implement ~((x + ~x * y )(~x + x*~y))

a. 1 b. 2 c. 3 d. 4 e. 5

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3. The number of different signed 2's complement numbers representable using 4-bits?

a. 18  _b. 17 _c. 16 _d. 15 _e. 14

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4. The number of different signed 1's complement numbers representable using 4-bits?

a. 18  _b. 17 _c. 16 _d. 15 _e. 14

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