The BCD addition of 9 and 7 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:

ignore the lowest order code group because 0000 is a valid code group and prefix the carry with three zeros

add 0110 to both code groups to validate the carry from the lowest order code group

disregard the carry and add 0110 to the lowest order code group

add 0110 to the lowest order code group because a carry was generated and then prefix the carry with three zeros

194 + Mcqs in Digital Arithmetic Operations And Circuits in Digital Electronics Page 1 McqOptions

1.	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
Answer» C. 10110 10101

Discussion

2.	Multiply the following binary numbers.
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
Answer» D. 0001 1101 0100 1101 0101 1010

Discussion

3.	The representation of –1 in eight-bit two's-complement notation is 11110111.
A.	True
B.	False
Answer» C.

Discussion

4.	The binary subtraction 0 – 1 = isdifference = 1borrow = 0
A.	True
B.	False
Answer» C.

Discussion

5.	11101000 is the 2's-complement representation of –24.
A.	True
B.	False
Answer» C.

Discussion

6.	The solution to the BCD problem 0101 + 0100 is 00001001.
A.	True
B.	False
Answer» B. False

Discussion

7.	The inputs of a full adder are labeled , , and .
A.	True
B.	False
Answer» B. False

Discussion

8.	If [A] = 10 and [B] = 01, then [A] [b] = ________.
A.	[00]
B.	00
C.	11
D.	[11]
Answer» D. [11]

Discussion

9.	–9 represented in eight-bit two's-complement notation is ________.
A.	11110111
B.	11111001
C.	11110110
D.	01111101
Answer» B. 11111001

Discussion

10.	The contents of the A register after is ________.
A.	0000
B.	0001
C.	1001
D.	1010
Answer» E.

Discussion

11.	Convert each of the decimal numbers to two's-complement form and perform the addition in binary.
A.	0001 0100 0000 0101
B.	0000 0110 0001 1001
C.	0000 0110 0000 0101
D.	1111 0110 1111 0101
Answer» D. 1111 0110 1111 0101

Discussion

12.	Add the following binary numbers.
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
Answer» C. 0111 0111 0101 1001 0101 1011

Discussion

13.	The BCD addition of 9 and 7 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
Answer» E.

Discussion

14.	Subtract the following binary numbers.
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
Answer» C. 0011 0101 0110 1010 1000 0111

Discussion

15.	Subtract the following hexadecimal numbers.
A.	22 18 CB
B.	22 17 CB
C.	22 19 CB
D.	22 18 CC
Answer» B. 22 17 CB

Discussion

16.	Find the 2's complement of –110110.
A.	110100
B.	101010
C.	001001
D.	001010
Answer» E.

Discussion

17.	Add the following BCD numbers.
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
Answer» E.

Discussion

18.	Add the following hexadecimal numbers.
A.	60 3C 116
B.	62 3C 118
C.	61 3C 117
D.	61 3D 117
Answer» D. 61 3D 117

Discussion

19.	How many BCD adders would be required to add the numbers 973 + 39?
A.	3
B.	4
C.	5
D.	6
Answer» B. 4

Discussion

20.	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
Answer» B. 1000 0111 0111 1101 0111 0100

Discussion

21.	Perform the following hex subtraction: ACE – 999 =
A.	235
B.	135
C.	035
D.	335
Answer» C. 035

Discussion

22.	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
Answer» E.

Discussion

23.	The decimal value for E is:
A.	12
B.	13
C.	14
D.	15
Answer» D. 15

Discussion

24.	Add the following hex numbers: 0110 + 10010
A.	10120
B.	10020
C.	11120
D.	00120
Answer» B. 10020

Discussion

25.	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
Answer» C. –5 +252 +248

Discussion

26.	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
Answer» E.

Discussion

27.	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
Answer» B. 22 17 CB

Discussion

28.	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
Answer» D. 61 3D 117

Discussion

29.	Perform the following hex subtraction: ACE16 – 99916 =
A.	23516
B.	13516
C.	03516
D.	33516
Answer» C. 03516

Discussion

30.	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
Answer» C. 10110 10101

Discussion

31.	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
Answer» C. –5 +252 +248

Discussion

32.	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
Answer» D. 1111 0110 1111 0101

Discussion

33.	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
Answer» B. 1000 0111 0111 1101 0111 0100

Discussion

34.	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
Answer» E.

Discussion

35.	Solving –11 + (–2) will yield which two's-complement answer?
A.	1110 1101
B.	1111 1001
C.	1111 0011
D.	1110 1001
Answer» D. 1110 1001

Discussion

36.	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
Answer» C. 0011 0101 0110 1010 1000 0111

Discussion

37.	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
Answer» D. 0001 1101 0100 1101 0101 1010

Discussion

38.	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
Answer» C. 0111 0111 0101 1001 0101 1011

Discussion

39.	The carry-out of a full adder is ________.
A.	[A].
B.	[B].
C.	[C].
D.	[D].
Answer» E.

Discussion

40.	FC48 – AB91 = ________.
A.	5B77
B.	5267
C.	50B7
D.	5077
Answer» D. 5077

Discussion

41.	–910 represented in eight-bit two's-complement notation is ________.
A.	11110111
B.	11111001
C.	11110110
D.	01111101
Answer» B. 11111001

Discussion

42.	Solve this binary problem: 01011000 ÷ 00001011 = ________.
A.	1010
B.	0110
C.	1000
D.	1110
Answer» D. 1110

Discussion

43.	Solve this binary problem: 1001 × 1100 = ________.
A.	01110001
B.	01111000
C.	01101100
D.	01101110
Answer» D. 01101110

Discussion

44.	The binary subtraction 1 – 1 = ________.
A.	difference = 0borrow = 0
B.	difference = 1borrow = 0
C.	difference = 1borrow = 1
D.	difference = 0borrow = 1
Answer» B. difference = 1borrow = 0

Discussion

45.	10011100 in two's-complement notation has a decimal value of –100.
A.	True
B.	False
Answer» C.

Discussion

46.	The representation of –110 in eight-bit two's-complement notation is 11110111.
A.	True
B.	False
Answer» C.

Discussion

47.	The range of negative numbers when using an eight-bit two's-complement system is –1 to –128.
A.	True
B.	False
Answer» B. False

Discussion

48.	The solution to the binary problem 00110110 – 00011111 is 00011000.
A.	True
B.	False
Answer» C.

Discussion

49.	The solution to the binary problem 1011 – 0111 is 1000.
A.	True
B.	False
Answer» C.

Discussion

50.	The solution to the binary problem 1011 × 0110 is 01100110.
A.	True
B.	False
Answer» C.

Discussion

Explore topic-wise MCQs in Digital Electronics.

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

Multiply the following binary numbers.

The representation of –1 in eight-bit two's-complement notation is 11110111.

The binary subtraction 0 – 1 = isdifference = 1borrow = 0

11101000 is the 2's-complement representation of –24.

The solution to the BCD problem 0101 + 0100 is 00001001.

The inputs of a full adder are labeled , , and .

If [A] = 10 and [B] = 01, then [A] [b] = ________.

–9 represented in eight-bit two's-complement notation is ________.

The contents of the A register after is ________.

Convert each of the decimal numbers to two's-complement form and perform the addition in binary.

Add the following binary numbers.

The BCD addition of 9 and 7 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:

Subtract the following binary numbers.

Subtract the following hexadecimal numbers.

Find the 2's complement of –110110.

Add the following BCD numbers.

Add the following hexadecimal numbers.

How many BCD adders would be required to add the numbers 973 + 39?

Convert each of the signed decimal numbers to an 8-bit signed binary number (two's-complement).+7 –3 –12

Perform the following hex subtraction: ACE – 999 =

Determine the two's-complement of each binary number.00110 00011 11101

The decimal value for E is:

Add the following hex numbers: 0110 + 10010

Convert each of the following signed binary numbers (two's-complement) to a signed decimal number.00000101 11111100 11111000

Add the following BCD numbers. 0110 0111 1001 0101 1000 1000

Subtract the following hexadecimal numbers. 47 34 FA –25 –1C –2F

Add the following hexadecimal numbers. 3C 14 3B +25 +28 +DC

Perform the following hex subtraction: ACE16 – 99916 =

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

Convert each of the following signed binary numbers (two's-complement) to a signed decimal number.00000101 11111100 11111000

Convert each of the decimal numbers to two's-complement form and perform the addition in binary. +13 –10 add –7 add +15

Convert each of the signed decimal numbers to an 8-bit signed binary number (two's-complement).+7 –3 –12

Determine the two's-complement of each binary number.00110 00011 11101

Solving –11 + (–2) will yield which two's-complement answer?

Subtract the following binary numbers. 0101 1000 1010 0011 1101 1110 –0010 0011 –0011 1000 –0101 0111

Multiply the following binary numbers. 1010 1011 1001 ×0011 ×0111 ×1010

Add the following binary numbers. 0010 0110 0011 1011 0011 1100 +0101 0101 +0001 1110 +0001 1111

The carry-out of a full adder is ________.

FC48 – AB91 = ________.

–910 represented in eight-bit two's-complement notation is ________.

Solve this binary problem: 01011000 ÷ 00001011 = ________.

Solve this binary problem: 1001 × 1100 = ________.

The binary subtraction 1 – 1 = ________.

10011100 in two's-complement notation has a decimal value of –100.

The representation of –110 in eight-bit two's-complement notation is 11110111.

The range of negative numbers when using an eight-bit two's-complement system is –1 to –128.

The solution to the binary problem 00110110 – 00011111 is 00011000.

The solution to the binary problem 1011 – 0111 is 1000.

The solution to the binary problem 1011 × 0110 is 01100110.