# Arithmetic Operations and Circuits

mcqspedia.com has 23 Question/Answers about Topic Arithmetic Operations and Circuits

## 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
- Correct Answer: Option A

## In binary number systems the sign of a number is indicated by _________.

- A. using a 0 (zero) bit in front of negative numbers
- B. inverting the bits if the number is negative
- C. including a sign bit along with the magnitude bits
- D. placing a negative sign in front of the number
- Correct Answer: Option C

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

- A. size, base
- B. sign, magnitude
- C. sign, base
- D. magnitude, base
- Correct Answer: Option B

## The 2’s complement of 1101102 is _________.

- A. 1101002
- B. 1010102
- C. 0010112
- D. 0010102
- Correct Answer: Option D

## The 1’s complement of 1010102 is _________.

- A. 0101102
- B. 0101012
- C. 1101112
- D. 1010112
- Correct Answer: Option B

## An input to the mode pin of an arithmetic-logic unit (ALU) determines if the function will be _________.

- A. one's complemented
- B. positive or negative
- C. with or without carry
- D. arithmetic or logic
- Correct Answer: Option D

## 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
- Correct Answer: Option B

## The bits of a number that tell how large the number is are called ____________________.

- A. carry bits
- B. magnitude bits
- C. sign bits
- D. most significant bits
- Correct Answer: Option B

## A full adder adds ____.

- A. two 2-bit binary numbers
- B. two 4-bit binary numbers
- C. two single bits and one carry bit
- D. two 2-bit numbers and one carry bit
- Correct Answer: Option C

## Two 4-bit adders could be cascaded to form a(n) ___________.

- A. 16-bit parallel-adder circuit
- B. 8-bit parallel-adder circuit
- C. full-adder circuit
- D. arithmetic-logic unit
- Correct Answer: Option B

## The selector inputs to an arithmetic-logic unit (ALU) determine the:

- A. selection of the IC
- B. arithmetic or logic function
- C. data word selection
- D. clock frequency to be used
- Correct Answer: Option B

## The fast carry or look-ahead carry circuits found in most 4-bit parallel-adder circuits:

- A. increase ripple delay
- B. add a 1 to complemented inputs
- C. reduce propagation delay
- D. determine sign and magnitude
- Correct Answer: Option C

## Use the two’s complement system to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and

their sum.- A. –14 and –13; –27
- B. –113 and –114; 227
- C. –27 and –13; 40
- D. –11 and –16; –27
- Correct Answer: Option A

## How many basic binary subtraction combinations are possible?

- A. 4
- B. 3
- C. 2
- D. 1
- Correct Answer: Option A

## What are the two types of basic adder circuits?

- A. half adder and full adder
- B. half adder and parallel adder
- C. asynchronous and synchronous
- D. one's complement and two's complement
- Correct Answer: Option A

## The range of an 8-bit two’s complement word is from:

- A. +12810 to –12810
- B. –12810 to +12710
- C. +12810 to –12710
- D. +12710 to –12710
- Correct Answer: Option B

## The two’s complement system is to be used to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

- A. –14 and –13; –27
- B. –113 and –114; 227
- C. –27 and –13; 40
- D. –11 and –16; –27
- Correct Answer: Option A

## Adding the two’s complement of –11 + (–2) will yield which two’s complement answer?

- A. 1110 1101
- B. 1111 1001
- C. 1111 0011
- D. 1110 1001
- Correct Answer: Option C

## Binary subtraction of a decimal 15 from 43 will utilize which two’s complement?

- A. 101011
- B. 110000
- C. 011100
- D. 110001
- Correct Answer: Option D

## When 1100010 is divided by 0101, what will be the decimal remainder?

- A. 2
- B. 3
- C. 4
- D. 6
- Correct Answer: Option B