Question 1

In the expression 4- 2, 2 is the _____.

Accepted Answer

The answer of In the expression 4- 2, 2 is...

Question 2

The arithmetic overflow in the 2's- complement addition problem of 100001 + 100010 should be:

Accepted Answer

A)  no cause for suspicion because the sign bit often changes during the addition process. 
B)  disregarded because the sum is small enough to fit in five magnitude bits. 
C)  disregarded because negative values are being added. 
D)  a cause for suspicion because the sign bit of the sum does not match the sign of the addend and augend. 
A)  no cause for suspicion because the sign bit often changes during the addition process. 
B)  disregarded because the sum is small enough to fit in five magnitude bits. 
C)  disregarded because negative values are being added. 
D)  a cause for suspicion because the sign bit of the sum does not match the sign of the addend and augend.

Question 3

CA216 + BCF16 =_____

Accepted Answer

A)  120016  
B)  161116  
C)  187116  
D)  152016 
A)  120016  
B)  161116  
C)  187116  
D)  152016

Question 4

The 1's- complement of 1010 is 0101.

Accepted Answer

A) True 
 B)False

Question 5

One advantage of using the 2's- complement system to represent signed numbers is:

Accepted Answer

A)  addition can be accomplished by performing subtraction. 
B)  division can be accomplished by performing multiplication. 
C)  multiplication can be accomplished by performing division. 
D)  subtraction can be accomplished by performing addition. 
A)  addition can be accomplished by performing subtraction. 
B)  division can be accomplished by performing multiplication. 
C)  multiplication can be accomplished by performing division. 
D)  subtraction can be accomplished by performing addition.

Question 6

In the preceding problem, the erroneous answer generated would be corrected by:

Accepted Answer

A)  converting both BCD code groups to straight binary form and subtracting 0110 from the least significant code group. 
B)  adding 0110 to the least significant code group. 
C)  adding 0110 to both the most and least significant BCD code groups. 
D)  adding 0110 to the most significant code group. 
A)  converting both BCD code groups to straight binary form and subtracting 0110 from the least significant code group. 
B)  adding 0110 to the least significant code group. 
C)  adding 0110 to both the most and least significant BCD code groups. 
D)  adding 0110 to the most significant code group.

Question 7

Multiplication of the unsigned binary numbers 10010 and 11101 results in a product of:

Accepted Answer

A)  1110001010 
B)  101010101 
C)  1000001100 
D)  1000011110 
A)  1110001010 
B)  101010101 
C)  1000001100 
D)  1000011110

Question 8

Which of the following represents the four possible outcomes when adding two binary numbers?

Accepted Answer

A)  0 + 0 = 0, 1 + 0 = 01, 1 + 1 = 11, 1 + 1 + 1 = 11 
B)  0 + 0 = 0, 1 + 0 = 1, 1 + 1 = 01, 1 + 1 + 1 = 11 
C)  0 + 0 = 1, 1 + 0 = 1, 1 + 1 = 01, 1 + 1 + 1 = 01 
D)  0 + 0 = 0, 1 + 0 = 1, 1 + 1 = 10, 1 + 1 + 1 = 11 
A)  0 + 0 = 0, 1 + 0 = 01, 1 + 1 = 11, 1 + 1 + 1 = 11 
B)  0 + 0 = 0, 1 + 0 = 1, 1 + 1 = 01, 1 + 1 + 1 = 11 
C)  0 + 0 = 1, 1 + 0 = 1, 1 + 1 = 01, 1 + 1 + 1 = 01 
D)  0 + 0 = 0, 1 + 0 = 1, 1 + 1 = 10, 1 + 1 + 1 = 11

Question 9

In order to reduce propagation delay in adder circuits it is necessary to build in additional circuitry.

Accepted Answer

A) True 
 B)False

Question 10

In BCD addition, the value_____is added to any invalid code group.

Accepted Answer

The answer of In BCD addition, the value_____is added to...

Question 11

When multiplying numbers in the 2's- complement system, the product's sign is:

Accepted Answer

A)  negative if the signs of the multiplier and multiplicand are the same. 
B)  negative if the multiplier and multiplicand are both positive signs. 
C)  positive if the signs of the multiplier and the multiplicand are the same. 
D)  positive if the sign bits of the multiplier and multiplicand are opposite. 
A)  negative if the signs of the multiplier and multiplicand are the same. 
B)  negative if the multiplier and multiplicand are both positive signs. 
C)  positive if the signs of the multiplier and the multiplicand are the same. 
D)  positive if the sign bits of the multiplier and multiplicand are opposite.

Question 12

How many bits are required to represent 51310 as a signed binary numbers in 2's complement form?

Accepted Answer

A)  10 
B)  8 
C)  11 
D)  9 
A)  10 
B)  8 
C)  11 
D)  9

Question 13

All arithmetic operations take place in the ALU.

Accepted Answer

A) True 
 B)False

Question 14

A sign bit of "1" in the result (difference) of a 2's- complement subtraction indicates the magnitude is negative and in true binary form.

Accepted Answer

A) True 
 B)False

Question 15

ALU circuits cannot be cascaded to perform functions on more than four bits.

Accepted Answer

A) True 
 B)False

Question 16

It is not necessary for the values being added to have the same number of bits when performing 2's- complement addition (or subtraction).

Accepted Answer

A) True 
 B)False

Question 17

[A] represents "the contents of register A."

Accepted Answer

A) True 
 B)False

Question 18

In sign- magnitude format, a 1 sign bit indicates a negative number.

Accepted Answer

A) True 
 B)False

Question 19

Which of the following is the 2's- complement of the binary number 1001001001001?

Accepted Answer

A)  10100001 
B)  11100111 
C)  0100101100 
D)  000101011 
A)  10100001 
B)  11100111 
C)  0100101100 
D)  000101011

Question 20

When performing subtraction by 2's- complement addition:

Accepted Answer

A)  the minuend is left in its original form and the subtrahend is changed to its 2's- complement. 
B)  the minuend and subtrahend are both left in their original form. 
C)  the minuend is changed to 2's- complement and the subtrahend are both changed to the 2's- complement. 
D)  the minuend and subtrahend are both changed to the 2's- complement. 
A)  the minuend is left in its original form and the subtrahend is changed to its 2's- complement. 
B)  the minuend and subtrahend are both left in their original form. 
C)  the minuend is changed to 2's- complement and the subtrahend are both changed to the 2's- complement. 
D)  the minuend and subtrahend are both changed to the 2's- complement.

In the expression 4- 2, 2 is the _____.

The arithmetic overflow in the 2's- complement addition problem of 100001 + 100010 should be:

CA2₁₆+ BCF₁₆=_____

The 1's- complement of 1010 is 0101.

One advantage of using the 2's- complement system to represent signed numbers is:

In the preceding problem, the erroneous answer generated would be corrected by:

Multiplication of the unsigned binary numbers 10010 and 11101 results in a product of:

Which of the following represents the four possible outcomes when adding two binary numbers?

In order to reduce propagation delay in adder circuits it is necessary to build in additional circuitry.

In BCD addition, the value_____is added to any invalid code group.

When multiplying numbers in the 2's- complement system, the product's sign is:

How many bits are required to represent 513₁₀as a signed binary numbers in 2's complement form?

All arithmetic operations take place in the ALU.

A sign bit of "1" in the result (difference) of a 2's- complement subtraction indicates the magnitude is negative and in true binary form.

ALU circuits cannot be cascaded to perform functions on more than four bits.

It is not necessary for the values being added to have the same number of bits when performing 2's- complement addition (or subtraction).

[A] represents "the contents of register A."

In sign- magnitude format, a 1 sign bit indicates a negative number.

Which of the following is the 2's- complement of the binary number 1001001001001?

When performing subtraction by 2's- complement addition:

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

In the expression 4- 2, 2 is the _____.

The arithmetic overflow in the 2's- complement addition problem of 100001 + 100010 should be:

CA216 + BCF16 =_____

The 1's- complement of 1010 is 0101.

One advantage of using the 2's- complement system to represent signed numbers is:

In the preceding problem, the erroneous answer generated would be corrected by:

Multiplication of the unsigned binary numbers 10010 and 11101 results in a product of:

Which of the following represents the four possible outcomes when adding two binary numbers?

In order to reduce propagation delay in adder circuits it is necessary to build in additional circuitry.

In BCD addition, the value_____is added to any invalid code group.

When multiplying numbers in the 2's- complement system, the product's sign is:

How many bits are required to represent 51310 as a signed binary numbers in 2's complement form?

All arithmetic operations take place in the ALU.

A sign bit of "1" in the result (difference) of a 2's- complement subtraction indicates the magnitude is negative and in true binary form.

ALU circuits cannot be cascaded to perform functions on more than four bits.

It is not necessary for the values being added to have the same number of bits when performing 2's- complement addition (or subtraction).

[A] represents "the contents of register A."

In sign- magnitude format, a 1 sign bit indicates a negative number.

Which of the following is the 2's- complement of the binary number 1001001001001?

When performing subtraction by 2's- complement addition:

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

CA2₁₆+ BCF₁₆=_____

How many bits are required to represent 513₁₀as a signed binary numbers in 2's complement form?