# Arithmetic Operations And Circuits MCQs

## Practice and Learn through MCQs and Quizzes. W3Definitions.com have 23 Arithmetic Operations And Circuits MCQs

• 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

## Adding in binary, the decimal values 26 + 27 will produce a sum of:

• A. 111010
• B. 110110
• C. 110101
• D. 101011
• Correct Answer: Option C

## 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

## 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

## 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

## 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

## How many basic binary subtraction combinations are possible?

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

## How many basic binary subtraction operations are possible?

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

## 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

## 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

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

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

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

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

## 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

## 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 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

## 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 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 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

## 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

## 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

• A. –14 and –13; –27
• B. –113 and –114; 227
• C. –27 and –13; 40
• D. –11 and –16; –27
• their sum.
• 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

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

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

## When multiplying in binary the decimal values 13 × 11, what is the third partial product?

• A. 100000
• B. 100001
• C. 0000
• D. 1011
• Correct Answer: Option A