# Electronics - Arithmetic Operations and Circuits

### Exercise :: Arithmetic Operations and Circuits - Filling the Blanks

1.

One advantage of using the 2's complement system to represent signed numbers is that you ___________.

 A. can perform subtraction by performing addition B. can perform addition by performing subtraction C. can perform division through repeated subtraction D. none of the above

Answer: Option A

Explanation:

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2.

The 1's complement of 1010102 is _________.

 A. 0101102 B. 0101012 C. 1101112 D. 1010112

Answer: Option B

Explanation:

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3.

All digital systems that perform arithmetic operations must indicate _______ and ________ for numbers.

 A. size, base B. sign, magnitude C. sign, base D. magnitude, base

Answer: Option B

Explanation:

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4.

The carry propagation delay in 4-bit full-adder circuits ____________.

 A. is normally not a consideration because the delays are usually in the nanosecond range B. is cumulative for each stage and limits the speed at which arithmetic operations are performed C. decreases in direct ratio to the total number of full-adder stages D. increases in direct ratio to the total number of full-adder stages, but is not a factor in limiting the speed of arithmetic operations

Answer: Option B

Explanation:

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5.

The 2's complement of 1101102 is _________.

 A. 1101002 B. 1010102 C. 0010112 D. 0010102

Answer: Option D

Explanation:

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