Question 1

What is the difference between the sign- magnitude and 2's- complement systems of representing signed binary numbers?

Accepted Answer

A)  In the 2's complement system all numbers, regardless of signs, are entered in the2's- complement preceded by a "1" or "0" to denote sign. In the sign- magnitude method, the magnitude bits represent the true binary value and the bit preceding the MSB represents the sign of the following bits. 
B)  In the signed- magnitude system all numbers, regardless of their sign, are in straight binary format preceded by a "0" or "1" to denote the sign. In the 2's complement system, the negative numbers are entered in the 2's- complement form preceded by a "1" to acknowledge a negative number whereas positive numbers are entered in straight binary format preceded by a "0" to indicate the sign. 
C)  In the sign- magnitude system all numbers, regardless of their sign, are in the 2's- complement form preceded by a "0" or "1" to indicate their sign. On the other hand, the 2's- complement system requires the sign- magnitude bits be in straight binary format preceded by a "0" or "1" to denote the proper sign. 
D)  In the 2's- complement system, all positive numbers are entered in the 2's- complement form preceded by "0" to indicate the sign and all negative numbers are entered in straight binary format preceded by a "1" to indicate the sign. The sign- magnitude system requires that positive and negative numbers be entered in straight binary form preceded by a "0" or "1" to indicate the proper sign. 
A)  In the 2's complement system all numbers, regardless of signs, are entered in the2's- complement preceded by a "1" or "0" to denote sign. In the sign- magnitude method, the magnitude bits represent the true binary value and the bit preceding the MSB represents the sign of the following bits. 
B)  In the signed- magnitude system all numbers, regardless of their sign, are in straight binary format preceded by a "0" or "1" to denote the sign. In the 2's complement system, the negative numbers are entered in the 2's- complement form preceded by a "1" to acknowledge a negative number whereas positive numbers are entered in straight binary format preceded by a "0" to indicate the sign. 
C)  In the sign- magnitude system all numbers, regardless of their sign, are in the 2's- complement form preceded by a "0" or "1" to indicate their sign. On the other hand, the 2's- complement system requires the sign- magnitude bits be in straight binary format preceded by a "0" or "1" to denote the proper sign. 
D)  In the 2's- complement system, all positive numbers are entered in the 2's- complement form preceded by "0" to indicate the sign and all negative numbers are entered in straight binary format preceded by a "1" to indicate the sign. The sign- magnitude system requires that positive and negative numbers be entered in straight binary form preceded by a "0" or "1" to indicate the proper sign.

Question 2

Which of the following represents the 2's- complement for the signed number - 7810?

Accepted Answer

A)  00110010 
B)  01001110 
C)  11001110 
D)  10110010 
A)  00110010 
B)  01001110 
C)  11001110 
D)  10110010

Question 3

The BCD representation of (27510 + 96510) is_____

Accepted Answer

A)  0001 0010 0100 0000 
B)  1011 1110 1010 
C)  0010 0011 0100 0000 
D)  1110 1010 1110 
A)  0001 0010 0100 0000 
B)  1011 1110 1010 
C)  0010 0011 0100 0000 
D)  1110 1010 1110

Question 4

The 2's- complement method of subtracting +2810 from - 6710 produces a signed binary and decimal difference of:

Accepted Answer

A)  01011111, +9510  
B)  11011111, - 9510 
C)  01011111, - 9510  
D)  11011111, +9510 
A)  01011111, +9510  
B)  11011111, - 9510 
C)  01011111, - 9510  
D)  11011111, +9510

Question 5

Only four possible cases can occur when adding two binary bits.

Accepted Answer

A) True 
 B)False

Question 6

Subtraction in the 2's complement system actually involves the operation of _____.

Accepted Answer

The answer of Subtraction in the 2's complement system actually...

Question 7

The 2's- complement operation on a signed number changes a positive number to a negative number and vice versa.

Accepted Answer

A) True 
 B)False

Question 8

How many BCD adders would be required to add the numbers 97310 + 3910?

Accepted Answer

A)  4 
B)  5 
C)  6 
D)  3 
A)  4 
B)  5 
C)  6 
D)  3

Question 9

The 2's- complement system is to be used to add the signed binary numbers 11110010 and 11110011. Determine the sign and decimal value of each of these numbers and their sum.

Accepted Answer

A)  - 113 and - 114, - 227 
B)  - 14 and - 13, - 27 
C)  - 11 and - 16, - 27 
D)  - 27 and - 13, - 40 
A)  - 113 and - 114, - 227 
B)  - 14 and - 13, - 27 
C)  - 11 and - 16, - 27 
D)  - 27 and - 13, - 40

Question 10

The number - 910 is to be stored in an 8- bit register as a signed binary number in 2's- complement form. Which of the following represents the register contents?

Accepted Answer

A)  11111010 
B)  00110101 
C)  00011101 
D)  10000111 
A)  11111010 
B)  00110101 
C)  00011101 
D)  10000111

Question 11

In hex addition, mentally convert values greater than 16, and then add.

Accepted Answer

A) True 
 B)False

Question 12

Which of the following represents the 2's- complement of the hexadecimal number 2AF?

Accepted Answer

A)  D50 
B)  D51 
C)  E50 
D)  E51 
A)  D50 
B)  D51 
C)  E50 
D)  E51

Question 13

Which of the following represents the 2's- complement of the binary number 1001101101012?

Accepted Answer

A)  111001001010 
B)  100110110101 
C)  011001001011 
D)  101100100101 
A)  111001001010 
B)  100110110101 
C)  011001001011 
D)  101100100101

Question 14

Assume that you want to design a circuit to multiply to 4- bit unsigned numbers. How many megafunction LPMs would you require?

Accepted Answer

A)  3 
B)  2 
C)  4 
D)  1 
A)  3 
B)  2 
C)  4 
D)  1

Question 15

The MOST commonly used system for representing signed binary numbers is the:

Accepted Answer

A)  sign- magnitude system. 
B)  2's- complement system. 
C)  10's- complement system. 
D)  1's- complement system. 
A)  sign- magnitude system. 
B)  2's- complement system. 
C)  10's- complement system. 
D)  1's- complement system.

Question 16

A half adder is normally used when a carry input may be applied.

Accepted Answer

A) True 
 B)False

Question 17

Multiplication of the unsigned numbers 1011012 and 10112 results in a product of:

Accepted Answer

A)  1011011112  
B)  1111011112  
C)  1101011112  
D)  1111111112 
A)  1011011112  
B)  1111011112  
C)  1101011112  
D)  1111111112

Question 18

The 5- bit 2's- complement equivalent of 1210 is:

Accepted Answer

A)  01100 
B)  11100 
C)  00100 
D)  10100 
A)  01100 
B)  11100 
C)  00100 
D)  10100

Question 19

In sign- magnitude form, a 0 in the sign bit indicates a _____ number.

Accepted Answer

The answer of In sign- magnitude form, a 0 in...

Question 20

A certain register used to store signed binary numbers provides a 16- bit output. Determine the range of register output values and how many different values the register is capable of containing.

Accepted Answer

A)  Range: - 32,76810 to +32,767 Values: 65,53610 
B)  Range: - 32,76810 to +32,768 Values: 65,53510 
C)  Range: - 65,53610 to +65,536 Values: 131,07110 
D)  Range: - 65,53610 to +65,535 Values: 131,07210 
A)  Range: - 32,76810 to +32,767 Values: 65,53610 
B)  Range: - 32,76810 to +32,768 Values: 65,53510 
C)  Range: - 65,53610 to +65,536 Values: 131,07110 
D)  Range: - 65,53610 to +65,535 Values: 131,07210

What is the difference between the sign- magnitude and 2's- complement systems of representing signed binary numbers?

Which of the following represents the 2's- complement for the signed number - 78₁₀?

The BCD representation of (275₁₀+ 965₁₀) is_____

The 2's- complement method of subtracting +28₁₀from - 67₁₀produces a signed binary and decimal difference of:

Only four possible cases can occur when adding two binary bits.

Subtraction in the 2's complement system actually involves the operation of _____.

The 2's- complement operation on a signed number changes a positive number to a negative number and vice versa.

How many BCD adders would be required to add the numbers 973₁₀+ 39₁₀?

The 2's- complement system is to be used to add the signed binary numbers 11110010 and 11110011. Determine the sign and decimal value of each of these numbers and their sum.

The number - 9₁₀is to be stored in an 8- bit register as a signed binary number in 2's- complement form. Which of the following represents the register contents?

In hex addition, mentally convert values greater than 16, and then add.

Which of the following represents the 2's- complement of the hexadecimal number 2AF?

Which of the following represents the 2's- complement of the binary number 100110110101₂?

Assume that you want to design a circuit to multiply to 4- bit unsigned numbers. How many megafunction LPMs would you require?

The MOST commonly used system for representing signed binary numbers is the:

A half adder is normally used when a carry input may be applied.

Multiplication of the unsigned numbers 101101₂and 1011₂results in a product of:

The 5- bit 2's- complement equivalent of 12₁₀is:

In sign- magnitude form, a 0 in the sign bit indicates a _____ number.

A certain register used to store signed binary numbers provides a 16- bit output. Determine the range of register output values and how many different values the register is capable of containing.

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

What is the difference between the sign- magnitude and 2's- complement systems of representing signed binary numbers?

Which of the following represents the 2's- complement for the signed number - 7810?

The BCD representation of (27510 + 96510) is_____

The 2's- complement method of subtracting +2810 from - 6710 produces a signed binary and decimal difference of:

Only four possible cases can occur when adding two binary bits.

Subtraction in the 2's complement system actually involves the operation of _____.

The 2's- complement operation on a signed number changes a positive number to a negative number and vice versa.

How many BCD adders would be required to add the numbers 97310 + 3910?

The 2's- complement system is to be used to add the signed binary numbers 11110010 and 11110011. Determine the sign and decimal value of each of these numbers and their sum.

The number - 910 is to be stored in an 8- bit register as a signed binary number in 2's- complement form. Which of the following represents the register contents?

In hex addition, mentally convert values greater than 16, and then add.

Which of the following represents the 2's- complement of the hexadecimal number 2AF?

Which of the following represents the 2's- complement of the binary number 1001101101012?

Assume that you want to design a circuit to multiply to 4- bit unsigned numbers. How many megafunction LPMs would you require?

The MOST commonly used system for representing signed binary numbers is the:

A half adder is normally used when a carry input may be applied.

Multiplication of the unsigned numbers 1011012 and 10112 results in a product of:

The 5- bit 2's- complement equivalent of 1210 is:

In sign- magnitude form, a 0 in the sign bit indicates a _____ number.

A certain register used to store signed binary numbers provides a 16- bit output. Determine the range of register output values and how many different values the register is capable of containing.

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

Which of the following represents the 2's- complement for the signed number - 78₁₀?

The BCD representation of (275₁₀+ 965₁₀) is_____

The 2's- complement method of subtracting +28₁₀from - 67₁₀produces a signed binary and decimal difference of:

How many BCD adders would be required to add the numbers 973₁₀+ 39₁₀?

The number - 9₁₀is to be stored in an 8- bit register as a signed binary number in 2's- complement form. Which of the following represents the register contents?

Which of the following represents the 2's- complement of the binary number 100110110101₂?

Multiplication of the unsigned numbers 101101₂and 1011₂results in a product of:

The 5- bit 2's- complement equivalent of 12₁₀is: