Digital Arithmetic Operations and Circuits MCQs : This section focuses on the "Digital Arithmetic Operations and Circuits". These Multiple Choice Questions (MCQs) should be practiced to improve the Digital Arithmetic Operations and Circuits skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.
Question 1
Which of the following is the primary advantage of using binary-coded decimal (BCD) instead of straight binary coding?
A. Fewer bits are required to represent a decimal number with the BCD code.
B. BCD codes are easily converted from decimal.
C. the relative ease of converting to and from decimal
D. BCD codes are easily converted to straight binary codes.
Question 2
Fast-look-ahead carry circuits found in most 4-bit full-adder circuits:
A. determine sign and magnitude
B. reduce propagation delay
C. add a 1 to complemented inputs
D. increase ripple delay
Question 3
The binary subtraction 0 – 0 =
A. difference = 0borrow = 0
B. difference = 1borrow = 0
C. difference = 1borrow = 1
D. difference = 0borrow = 1
Question 4
What distinguishes the look-ahead-carry adder?
A. It is slower than the ripple-carry adder.
B. It is easier to implement logically than a full adder.
C. It is faster than a ripple-carry adder.
D. It requires advance knowledge of the final answer.
Question 5
An input to the mode pin of an arithmetic/logic unit (ALU) determines if the function will be:
A. one's-complemented
B. arithmetic or logic
C. positive or negative
D. with or without carry
Question 6
Convert each of the signed decimal numbers to an 8-bit signed binary number (two's-complement).+7 –3 –12
A. 0000 0111 1111 1101 1111 0100
B. 1000 0111 0111 1101 0111 0100
C. 0000 0111 0000 0011 0000 1100
D. 0000 0111 1000 0011 1000 1100
Question 7
An 8-bit register may provide storage for two's-complement codes within which decimal range?
A. +128 to –128
B. –128 to +127
C. +128 to –127
D. +127 to –127
Question 8
Subtract the following binary numbers. 0101 1000 1010 0011 1101 1110 –0010 0011 –0011 1000 –0101 0111
A. 0011 0100 0110 1010 1000 0110
B. 0011 0101 0110 1011 1000 0111
C. 0011 0101 0110 1010 1000 0111
D. 0011 0101 0110 1010 1000 0110
Question 9
Half-adders can be combined to form a full-adder with no additional gates.
A. TRUE
B. FALSE
Question 10
The carry propagation delay in 4-bit full-adder circuits:
A. is cumulative for each stage and limits the speed at which arithmetic operations are performed
B. is normally not a consideration because the delays are usually in the nanosecond range
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
Question 11
Perform subtraction on each of the following binary numbers by taking the two's-complement of the number being subtracted and then adding it to the first number.01001 0110000011 00111
A. 01100 10011
B. 00110 00101
C. 10110 10101
D. 00111 00100
Question 12
For a 4-bit parallel adder, if the carry-in is connected to a logical HIGH, the result is:
A. the same as if the carry-in is tied LOW since the least significant carry-in is ignored.
B. that carry-out will always be HIGH.
C. a one will be added to the final result.
D. the carry-out is ignored.
Question 13
How many BCD adders would be required to add the numbers 97310 + 3910?
A. 3
B. 4
C. 5
D. 6
Question 14
When multiplying 13 × 11 in binary, what is the third partial product?
A. 1011
B. 0
C. 100000
D. 100001
Question 15
What are constants in VHDL code?
A. Fixed numbers represented by a name
B. Fixed variables used in functions
C. Fixed number types
D. Constants do not exist in VHDL code.
Question 16
The BCD addition of 910 and 710 will give initial code groups of 1001 + 0111. Addition of these groups generates a carry to the next higher position. The correct solution to this problem would be to:
A. ignore the lowest order code group because 0000 is a valid code group and prefix the carry with three zeros
B. add 0110 to both code groups to validate the carry from the lowest order code group
C. disregard the carry and add 0110 to the lowest order code group
D. add 0110 to the lowest order code group because a carry was generated and then prefix the carry with three zeros
Question 17
The summing outputs of a half- or full-adder are designated by which Greek symbol?
A. omega
B. theta
C. lambda
D. sigma
Question 18
Add the following hexadecimal numbers. 3C 14 3B +25 +28 +DC
A. 60 3C 116
B. 62 3C 118
C. 61 3C 117
D. 61 3D 117
Question 19
Solve this binary problem: 01000110 ÷ 00001010 =
A. 111
B. 10011
C. 1001
D. 11
Question 20
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
Question 21
What logic function is the sum output of a half-adder?
A. AND
B. exclusive-OR
C. exclusive-NOR
D. NAND
Question 22
Why is a fast-look-ahead carry circuit used in the 7483 4-bit full-adder?
A. to decrease the cost
B. to make it smaller
C. to slow down the circuit
D. to speed up the circuit
Question 23
A half-adder circuit would normally be used each time a carry input is required in an added circuit.
A. TRUE
B. FALSE
Question 24
The binary adder circuit is designed to add ________ binary numbers at the same time.
A. 2
B. 4
C. 6
D. 8
Question 25
Solve this binary problem: 01110010 – 01001000 =
A. 11010
B. 101010
C. 1110010
D. 111100
Question 26
Could the sum output of a full-adder be used as a two-bit parity generator?
A. Yes
B. No
Question 27
The range of positive numbers when using an eight-bit two's-complement system is:
A. 0 to 64
B. 0 to 100
C. 0 to 127
D. 0 to 256
Question 28
How many inputs must a full-adder have?
A. 4
B. 2
C. 5
D. 3
Question 29
The carry propagation delay in full-adder circuits:
A. is normally not a consideration because the delays are usually in the nanosecond range.
B. decreases in a direct ratio to the total number of FA stages.
C. is cumulative for each stage and limits the speed at which arithmetic operations are performed.
D. increases in a direct ratio to the total number of FA stages but is not a factor in limiting the speed of arithmetic operations.
Question 30
Determine the two's-complement of each binary number.00110 00011 11101
A. 11001 11100 00010
B. 00111 00010 00010
C. 00110 00011 11101
D. 11010 11101 00011
Question 31
Solve this BCD problem: 0100 + 0110 =
A. 00010000BCD
B. 00010111BCD
C. 00001011BCD
D. 00010011BCD
Question 32
What is the most important operation in binary-coded decimal (BCD) arithmetic?
A. addition
B. subtraction
C. multiplication
D. division
Question 33
When 1100010 is divided by 0101, what is the decimal remainder?
A. 2
B. 3
C. 4
D. 6
Question 34
When performing subtraction by addition in the 2's-complement system:
A. the minuend and the subtrahend are both changed to the 2's-complement.
B. the minuend is changed to 2's-complement and the subtrahend is left in its original form.
C. the minuend is left in its original form and the subtrahend is changed to its 2's-complement.
D. the minuend and subtrahend are both left in their original form.
Question 35
Convert the decimal numbers 275 and 965 to binary-coded decimal (BCD) and add. Select the BCD code groups that reflect the final answer.
A. 1101 1110 1010
B. 1110 1010 1110
C. 0001 0010 0100 0000
D. 0010 0011 0100 0000
Question 36
One way to make a four-bit adder perform subtraction is by:
A. inverting the output.
B. inverting the carry-in.
C. inverting the B inputs.
D. grounding the B inputs.
Question 37
What are the two types of basic adder circuits?
A. sum and carry
B. half-adder and full-adder
C. asynchronous and synchronous
D. one- and two's-complement
Question 38
How many inputs must a full-adder have?
A. 2
B. 3
C. 4
D. 5
Question 39
Convert each of the following signed binary numbers (two's-complement) to a signed decimal number.00000101 11111100 11111000
A. –5 +4 +8
B. +5 –4 –8
C. –5 +252 +248
D. +5 –252 –248
Question 40
If B[7..0] = 10100101, what is the value of B[6..2]?
A. 10100
B. 1001
C. 10010
D. 101
Question 41
What is one disadvantage of the ripple-carry adder?
A. The interconnections are more complex.
B. More stages are required to a full adder.
C. It is slow due to propagation time.
D. All of the above.
Question 42
What is the first thing you will need if you are going to use a macrofunction?
A. A complicated design project
B. An experienced design engineer
C. Good documentation
D. Experience in HDL
Question 43
The 2's-complement system is to be used to add the signed binary numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.
A. –113 and –114, –227
B. –14 and –13, –27
C. –11 and –16, –27
D. –27 and –13, –40
Question 44
If [A] = 1011 1010, [B] = 0011 0110, and [C] = [A] • [B], what is [C 4..2] in decimal?
A. 1
B. 2
C. 3
D. 4
Question 45
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
Question 46
Add the following binary numbers. 0010 0110 0011 1011 0011 1100 +0101 0101 +0001 1110 +0001 1111
A. 0111 1011 0100 0001 0101 1011
B. 0111 1011 0101 1001 0101 1011
C. 0111 0111 0101 1001 0101 1011
D. 0111 0111 0100 0001 0101 1011
Question 47
The most commonly used system for representing signed binary numbers is the:
A. 2's-complement system.
B. 1's-complement system.
C. 10's-complement system.
D. sign-magnitude system.
Question 48
Adding in binary, a decimal 26 + 27 will produce a sum of:
A. 111010
B. 110110
C. 110101
D. 101011
Question 49
The decimal value for E16 is:
A. 1210
B. 1310
C. 1410
D. 1510
Question 50
Solving –11 + (–2) will yield which two's-complement answer?
A. 1110 1101
B. 1111 1001
C. 1111 0011
D. 1110 1001
Question 51
Find the 2's complement of –1101102.
A. 1101002
B. 1010102
C. 10012
D. 10102
Question 52
Using 4-bit adders to create a 1See Section 6-bit adder:
A. requires 16 adders.
B. requires 4 adders.
C. requires the carry-out of the less significant adder to be connected to the carry-in of the next significant adder.
D. requires 4 adders and the connection of the carry out of the less significant adder to the carry-in of the next significant adder.
Question 53
Multiply the following binary numbers. 1010 1011 1001 ×0011 ×0111 ×1010
A. 0001 1110 0100 1101 0101 1011
B. 0001 1110 0100 1100 0101 1010
C. 0001 1110 0100 1101 0101 1010
D. 0001 1101 0100 1101 0101 1010
Question 54
Which of the following is correct for full adders?
A. Full adders have the capability of directly adding decimal numbers.
B. Full adders are used to make half adders.
C. Full adders are limited to two inputs since there are only two binary digits.
D. In a parallel full adder, the first stage may be a half adder.
Question 55
What is the difference between a full-adder and a half-adder?
A. Half-adder has a carry-in.
B. Full-adder has a carry-in.
C. Half-adder does not have a carry-out.
D. Full-adder does not have a carry-out.
Question 56
In VHDL, what is a GENERATE statement?
A. The start statement of a program
B. Not used in VHDL or ADHL
C. A way to get the computer to generate a program from a circuit diagram
D. A way to tell the compiler to replicate several components
Question 57
Add the following hex numbers: 011016 + 1001016
A. 1012016
B. 1002016
C. 1112016
D. 12016
Question 58
Convert each of the decimal numbers to two's-complement form and perform the addition in binary. +13 –10 add –7 add +15
A. 0001 0100 0000 0101
B. 0000 0110 0001 1001
C. 0000 0110 0000 0101
D. 1111 0110 1111 0101
Question 59
A full-adder adds ________.
A. two single bits and one carry bit
B. two 2-bit binary numbers
C. two 4-bit binary numbers
D. two 2-bit numbers and one carry bit
Question 60
Perform the following hex subtraction: ACE16 – 99916 =
A. 23516
B. 13516
C. 3516
D. 33516
Question 61
Add the following BCD numbers. 0110 0111 1001 0101 1000 1000
A. 0000 1011 0000 1111 0001 0001
B. 0001 0001 0001 0101 0001 0001
C. 0000 1011 0000 1111 0001 0111
D. 0001 0001 0001 0101 0001 0111
Question 62
Subtract the following hexadecimal numbers. 47 34 FA –25 –1C –2F
A. 22 18 CB
B. 22 17 CB
C. 22 19 CB
D. 22 18 CC