To convert “1010” into eight-bit 2’s complement number: The LSB of the binary number is “1” and it represents the sign of the decimal value is negative. The magnitude of negative number does not change by lengthening the sign bit “1” as many bit positions to the left as intended. As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”. Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

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Answer 1

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Chapter 2, Problem 13E

a.

Explanation of Solution

To convert “1010” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

The magnitude of negative number does not change by lengthening the sign bit “1” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

b.

Explanation of Solution

To convert “011001” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

c.

Explanation of Solution

To convert “1111111000” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

Since the given binary number consists of “...

d.

Explanation of Solution

To convert “01” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

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Answer 2

Expert Solution & Answer

Chapter 2, Problem 13E

a.

Explanation of Solution

To convert “1010” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

The magnitude of negative number does not change by lengthening the sign bit “1” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

b.

Explanation of Solution

To convert “011001” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

c.

Explanation of Solution

To convert “1111111000” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

Since the given binary number consists of “...

d.

Explanation of Solution

To convert “01” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

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Answer 3

Expert Solution & Answer

Chapter 2, Problem 13E

a.

Explanation of Solution

To convert “1010” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

The magnitude of negative number does not change by lengthening the sign bit “1” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

b.

Explanation of Solution

To convert “011001” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

c.

Explanation of Solution

To convert “1111111000” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

Since the given binary number consists of “...

d.

Explanation of Solution

To convert “01” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

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Answer 4

Expert Solution & Answer

Chapter 2, Problem 13E

a.

Explanation of Solution

To convert “1010” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

The magnitude of negative number does not change by lengthening the sign bit “1” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

b.

Explanation of Solution

To convert “011001” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

c.

Explanation of Solution

To convert “1111111000” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

Since the given binary number consists of “...

d.

Explanation of Solution

To convert “01” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

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Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 2, Problem 13E

a.

Explanation of Solution

To convert “1010” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

The magnitude of negative number does not change by lengthening the sign bit “1” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

b.

Explanation of Solution

To convert “011001” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

c.

Explanation of Solution

To convert “1111111000” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

Since the given binary number consists of “...

d.

Explanation of Solution

To convert “01” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

Answer 8

Chapter 2, Problem 13E

a.

Explanation of Solution

To convert “1010” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

The magnitude of negative number does not change by lengthening the sign bit “1” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

Answer 9

Chapter 2, Problem 13E

a.

Explanation of Solution

To convert “1010” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

The magnitude of negative number does not change by lengthening the sign bit “1” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

Answer 10

b.

Explanation of Solution

To convert “011001” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

Answer 11

b.

Explanation of Solution

To convert “011001” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

Answer 12

c.

Explanation of Solution

To convert “1111111000” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

Since the given binary number consists of “...

Answer 13

c.

Explanation of Solution

To convert “1111111000” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

Since the given binary number consists of “...

Answer 14

d.

Explanation of Solution

To convert “01” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

Answer 15

d.

Explanation of Solution

To convert “01” into eight-bit 2’s complement number:

The LSB of the binary number is “0” and it represents the sign of the decimal value is positive.

The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended.

As the sign bit is extended, the operation is referred as Sign-EXTension and it is abbreviated as “SEXT”.

Sign-extension is accomplished in order to be able to work on representations of dissimilar lengths...

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

Ch. 2 - Prob. 1E Ch. 2 - Prob. 2E Ch. 2 - Prob. 3E Ch. 2 - Prob. 4E Ch. 2 - Prob. 5E Ch. 2 - Prob. 6E Ch. 2 - Prob. 7E Ch. 2 - Prob. 8E Ch. 2 - Prob. 9E Ch. 2 - Prob. 10E

Explanation of Solution

Explanation of Solution

Explanation of Solution

To convert “1111111000” into eight-bit 2’s complement number: The LSB of the binary number is “1” and it represents the sign of the decimal value is negative. Since the given binary number consists of “...

Explanation of Solution

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Chapter 2 Solutions

To convert “1111111000” into eight-bit 2’s complement number:

The LSB of the binary number is “1” and it represents the sign of the decimal value is negative.

Since the given binary number consists of “...