Question 1

ALU circuits perform arithmetic and logic operations.

Accepted Answer

A) True 
 B)False  True

Question 2

The solution to 101101.10 - 011101.01 is _____.

Accepted Answer

10000.01

Question 3

To correctly represent a positive signed number in 2's- complement form:

Accepted Answer

A)  represent the magnitude in its true binary form and place a sign bit of "1" in front of the MSB. 
B)  represent the magnitude in its 2's- complement form and place a sign bit of "O" in front of the MSB. 
C)  represent the magnitude in its 2's- complement form and place a sign bit of "1" in front of the MSB. 
D)  represent the magnitude in its true binary form and place a sign bit of "O" in front of the MSB. 
A)  represent the magnitude in its true binary form and place a sign bit of "1" in front of the MSB. 
B)  represent the magnitude in its 2's- complement form and place a sign bit of "O" in front of the MSB. 
C)  represent the magnitude in its 2's- complement form and place a sign bit of "1" in front of the MSB. 
D)  represent the magnitude in its true binary form and place a sign bit of "O" in front of the MSB. D

Question 4

The BCD addition of 910 and 710 generates code groups of 1001 0111 and a carry to the next higher position. The final step in the problem is to:

Accepted Answer

A)  ignore the lowest order code group because 0000 is a valid code group and prefix the carry with three zeros. 
B)  disregard the carry and add 0110 to the lowest order code group. 
C)  add 0110 to the lowest order code group and then prefix the carry with three zeros. 
D)  add 0110 to both code groups to validate the carry from the lowest order code group. 
A)  ignore the lowest order code group because 0000 is a valid code group and prefix the carry with three zeros. 
B)  disregard the carry and add 0110 to the lowest order code group. 
C)  add 0110 to the lowest order code group and then prefix the carry with three zeros. 
D)  add 0110 to both code groups to validate the carry from the lowest order code group.

Question 5

Which of the following is the 2's- complement of the signed decimal number +7525?

Accepted Answer

A)  1110100000101 
B)  1010101010101 
C)  0001001111010 
D)  1110101100101 
A)  1110100000101 
B)  1010101010101 
C)  0001001111010 
D)  1110101100101

Question 6

Digital computers add only two binary numbers at a time.

Accepted Answer

A) True 
 B)False

Question 7

The ALU contains at least two registers: the A register and the B register.

Accepted Answer

A) True 
 B)False

Question 8

The 2's- complement method of subtraction is to be performed on the 2's- complement signed numbers = 43(- )- 47. Select the correct minuend, subtrahend, signed binary difference, and decimal result.

Accepted Answer

A)  00101011 + 11010001 = 11111100 = - 9010  
B)  00101011 + 00101111 = 01011010 = - 9010 
C)  11010100 + 10101111 = 110000011 = 9010  
D)  00101011 + 00101111 = 01011010 = 9010 
A)  00101011 + 11010001 = 11111100 = - 9010  
B)  00101011 + 00101111 = 01011010 = - 9010 
C)  11010100 + 10101111 = 110000011 = 9010  
D)  00101011 + 00101111 = 01011010 = 9010

Question 9

How many inputs must a full- adder have?

Accepted Answer

A)  5 
B)  3 
C)  4 
D)  2 
A)  5 
B)  3 
C)  4 
D)  2

Question 10

What is the decimal equivalent of the 2's complement signed number 11011001?

Accepted Answer

A)  25 
B)  - 39 
C)  - 18 
D)  29 
A)  25 
B)  - 39 
C)  - 18 
D)  29

Question 11

C516 + AF16 =_____

Accepted Answer

A)  1A416  
B)  1CF16  
C)  17416  
D)  14A16 
A)  1A416  
B)  1CF16  
C)  17416  
D)  14A16

Question 12

An overflow indicator in an ALU circuit indicates that the result of an arithmetic operation requires more than four bits.

Accepted Answer

A) True 
 B)False

Question 13

4CA516 + FEA216 =_____

Accepted Answer

A)  15C4716  
B)  2FB4716  
C)  14C4716  
D)  14B4716 
A)  15C4716  
B)  2FB4716  
C)  14C4716  
D)  14B4716

Question 14

Which of the following is the 2's- complement for the signed number - 5410?

Accepted Answer

A)  1111010 
B)  0000101 
C)  1001010 
D)  0010101 
A)  1111010 
B)  0000101 
C)  1001010 
D)  0010101

Question 15

What is the minimum number of bits required to represent - 14310 as a signed binary number in 2's- complement form?

Accepted Answer

A)  8 
B)  7 
C)  10 
D)  9 
A)  8 
B)  7 
C)  10 
D)  9

Question 16

The 1's- complement of the binary number 0101101012 is:

Accepted Answer

A)  011001010 
B)  101001000 
C)  101001010 
D)  101110101 
A)  011001010 
B)  101001000 
C)  101001010 
D)  101110101

Question 17

The decimal equivalent of the 2's complement signed number 1000 is_____.

Accepted Answer

The answer of The decimal equivalent of the 2's complement...

Question 18

The BCD representation of (4710 + 8310) is_____

Accepted Answer

A)  1000 0011 
B)  1100 1010 
C)  0001 0011 0000 
D)  0001 1100 1010 
A)  1000 0011 
B)  1100 1010 
C)  0001 0011 0000 
D)  0001 1100 1010

Question 19

If the numbers 810 and 910 are converted to BCD and added, the initial result would be:

Accepted Answer

A)  0100 1000 
B)  1000 0100 
C)  0010 0001 
D)  0001 0001 
A)  0100 1000 
B)  1000 0100 
C)  0010 0001 
D)  0001 0001

Question 20

The 2's complement of 1310 is _____ .

Accepted Answer

ALU circuits perform arithmetic and logic operations.

The solution to 101101.10 - 011101.01 is _____.

To correctly represent a positive signed number in 2's- complement form:

The BCD addition of 9₁₀and 7₁₀generates code groups of 1001 0111 and a carry to the next higher position. The final step in the problem is to:

Which of the following is the 2's- complement of the signed decimal number +7525?

Digital computers add only two binary numbers at a time.

The ALU contains at least two registers: the A register and the B register.

The 2's- complement method of subtraction is to be performed on the 2's- complement signed numbers = 43(- )- 47. Select the correct minuend, subtrahend, signed binary difference, and decimal result.

How many inputs must a full- adder have?

What is the decimal equivalent of the 2's complement signed number 11011001?

C5₁₆+ AF₁₆=_____

An overflow indicator in an ALU circuit indicates that the result of an arithmetic operation requires more than four bits.

4CA5₁₆+ FEA2₁₆=_____

Which of the following is the 2's- complement for the signed number - 54₁₀?

What is the minimum number of bits required to represent - 143₁₀as a signed binary number in 2's- complement form?

The 1's- complement of the binary number 010110101₂is:

The decimal equivalent of the 2's complement signed number 1000 is_____.

The BCD representation of (47₁₀+ 83₁₀) is_____

If the numbers 8₁₀and 9₁₀are converted to BCD and added, the initial result would be:

The 2's complement of 13₁₀is _____ .

Introductory Concepts

Number Systems and Codes

Describing Logic Circuits

Combinational Logic Circuits

Flip-Flops and Related Devices

Counters and Registers

Integrated-Circuit Logic Families

MSI Logic Circuits

Digital System Projects Using HDL

Interfacing With the Analog World

Memory Devices

Programmable Logic Device Architectures

Filters

Exam 6: Digital Arithmetic: Operations and Circuits

ALU circuits perform arithmetic and logic operations.

The solution to 101101.10 - 011101.01 is _____.

To correctly represent a positive signed number in 2's- complement form:

The BCD addition of 910 and 710 generates code groups of 1001 0111 and a carry to the next higher position. The final step in the problem is to:

Which of the following is the 2's- complement of the signed decimal number +7525?

Digital computers add only two binary numbers at a time.

The ALU contains at least two registers: the A register and the B register.

The 2's- complement method of subtraction is to be performed on the 2's- complement signed numbers = 43(- )- 47. Select the correct minuend, subtrahend, signed binary difference, and decimal result.

How many inputs must a full- adder have?

What is the decimal equivalent of the 2's complement signed number 11011001?

C516 + AF16 =_____

An overflow indicator in an ALU circuit indicates that the result of an arithmetic operation requires more than four bits.

4CA516 + FEA216 =_____

Which of the following is the 2's- complement for the signed number - 5410?

What is the minimum number of bits required to represent - 14310 as a signed binary number in 2's- complement form?

The 1's- complement of the binary number 0101101012 is:

The decimal equivalent of the 2's complement signed number 1000 is_____.

The BCD representation of (4710 + 8310) is_____

If the numbers 810 and 910 are converted to BCD and added, the initial result would be:

The 2's complement of 1310 is _____ .

Introductory Concepts

Number Systems and Codes

Describing Logic Circuits

Combinational Logic Circuits

Flip-Flops and Related Devices

Counters and Registers

Integrated-Circuit Logic Families

MSI Logic Circuits

Digital System Projects Using HDL

Interfacing With the Analog World

Memory Devices

Programmable Logic Device Architectures

Filters

The BCD addition of 9₁₀and 7₁₀generates code groups of 1001 0111 and a carry to the next higher position. The final step in the problem is to:

C5₁₆+ AF₁₆=_____

4CA5₁₆+ FEA2₁₆=_____

Which of the following is the 2's- complement for the signed number - 54₁₀?

What is the minimum number of bits required to represent - 143₁₀as a signed binary number in 2's- complement form?

The 1's- complement of the binary number 010110101₂is:

The BCD representation of (47₁₀+ 83₁₀) is_____

If the numbers 8₁₀and 9₁₀are converted to BCD and added, the initial result would be:

The 2's complement of 13₁₀is _____ .