To express “-27” into eight-bit 2’s complement number: To convert the negative number “-27” into 2’s complement integer, First compute the 1’s complement of the corresponding positive number and “1” to that result. The positive number for the negative number “-27” is “27”. The binary representation of positive number “27” is computed as follows, 128 64 32 16 8 4 2 1 Integer 0 0 0 1 1 0 1 1 27 From the above table, the binary representation of positive number “27” in eight bits is “00011011”. The 1’s complement of the “00011011” is “11100100”. Adding “1” to the above result “11100100” results the value “11100101”. The Left most significant Bit (LSB) of the binary number is “1” and it represents the sign of the decimal value is negative. Therefore, the 2’s complement number of negative value “-27” in eight-bit is “ 11100101 ”. To express “-27” into sixteen-bit 2’s complement number: The 2’s complement number of negative value “-27” is “11100101”...

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Answer 1

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Chapter 2, Problem 19E

Explanation of Solution

To express “-27” into eight-bit 2’s complement number:

To convert the negative number “-27” into 2’s complement integer,

First compute the 1’s complement of the corresponding positive number and “1” to that result.

The positive number for the negative number “-27” is “27”.

The binary representation of positive number “27” is computed as follows,

128 64 32 16 8 4 2 1 Integer
0 0 0 1 1 0 1 1 27

From the above table, the binary representation of positive number “27” in eight bits is “00011011”.

The 1’s complement of the “00011011” is “11100100”.

Adding “1” to the above result “11100100” results the value “11100101”.

The Left most significant Bit (LSB) of the binary number is “1” and it represents the sign of the decimal value is negative.

Therefore, the 2’s complement number of negative value “-27” in eight-bit is “11100101”.

To express “-27” into sixteen-bit 2’s complement number:

The 2’s complement number of negative value “-27” is “11100101”...

Explanation of Solution

Explanation with respect to the properties of sign-extension:

The LSB of the binary number represents the sign of the decimal value.

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

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Answer 2

Expert Solution & Answer

Chapter 2, Problem 19E

Explanation of Solution

To express “-27” into eight-bit 2’s complement number:

To convert the negative number “-27” into 2’s complement integer,

First compute the 1’s complement of the corresponding positive number and “1” to that result.

The positive number for the negative number “-27” is “27”.

The binary representation of positive number “27” is computed as follows,

128 64 32 16 8 4 2 1 Integer
0 0 0 1 1 0 1 1 27

From the above table, the binary representation of positive number “27” in eight bits is “00011011”.

The 1’s complement of the “00011011” is “11100100”.

Adding “1” to the above result “11100100” results the value “11100101”.

The Left most significant Bit (LSB) of the binary number is “1” and it represents the sign of the decimal value is negative.

Therefore, the 2’s complement number of negative value “-27” in eight-bit is “11100101”.

To express “-27” into sixteen-bit 2’s complement number:

The 2’s complement number of negative value “-27” is “11100101”...

Explanation of Solution

Explanation with respect to the properties of sign-extension:

The LSB of the binary number represents the sign of the decimal value.

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

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Expert Solution & Answer

Chapter 2, Problem 19E

Explanation of Solution

To express “-27” into eight-bit 2’s complement number:

To convert the negative number “-27” into 2’s complement integer,

First compute the 1’s complement of the corresponding positive number and “1” to that result.

The positive number for the negative number “-27” is “27”.

The binary representation of positive number “27” is computed as follows,

128 64 32 16 8 4 2 1 Integer
0 0 0 1 1 0 1 1 27

From the above table, the binary representation of positive number “27” in eight bits is “00011011”.

The 1’s complement of the “00011011” is “11100100”.

Adding “1” to the above result “11100100” results the value “11100101”.

The Left most significant Bit (LSB) of the binary number is “1” and it represents the sign of the decimal value is negative.

Therefore, the 2’s complement number of negative value “-27” in eight-bit is “11100101”.

To express “-27” into sixteen-bit 2’s complement number:

The 2’s complement number of negative value “-27” is “11100101”...

Explanation of Solution

Explanation with respect to the properties of sign-extension:

The LSB of the binary number represents the sign of the decimal value.

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

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Expert Solution & Answer

Chapter 2, Problem 19E

Explanation of Solution

To express “-27” into eight-bit 2’s complement number:

To convert the negative number “-27” into 2’s complement integer,

First compute the 1’s complement of the corresponding positive number and “1” to that result.

The positive number for the negative number “-27” is “27”.

The binary representation of positive number “27” is computed as follows,

128 64 32 16 8 4 2 1 Integer
0 0 0 1 1 0 1 1 27

From the above table, the binary representation of positive number “27” in eight bits is “00011011”.

The 1’s complement of the “00011011” is “11100100”.

Adding “1” to the above result “11100100” results the value “11100101”.

The Left most significant Bit (LSB) of the binary number is “1” and it represents the sign of the decimal value is negative.

Therefore, the 2’s complement number of negative value “-27” in eight-bit is “11100101”.

To express “-27” into sixteen-bit 2’s complement number:

The 2’s complement number of negative value “-27” is “11100101”...

Explanation of Solution

Explanation with respect to the properties of sign-extension:

The LSB of the binary number represents the sign of the decimal value.

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

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Expert Solution & Answer

Answer 6

Expert Solution & Answer

Answer 7

Chapter 2, Problem 19E

Explanation of Solution

To express “-27” into eight-bit 2’s complement number:

To convert the negative number “-27” into 2’s complement integer,

First compute the 1’s complement of the corresponding positive number and “1” to that result.

The positive number for the negative number “-27” is “27”.

The binary representation of positive number “27” is computed as follows,

128 64 32 16 8 4 2 1 Integer
0 0 0 1 1 0 1 1 27

From the above table, the binary representation of positive number “27” in eight bits is “00011011”.

The 1’s complement of the “00011011” is “11100100”.

Adding “1” to the above result “11100100” results the value “11100101”.

The Left most significant Bit (LSB) of the binary number is “1” and it represents the sign of the decimal value is negative.

Therefore, the 2’s complement number of negative value “-27” in eight-bit is “11100101”.

To express “-27” into sixteen-bit 2’s complement number:

The 2’s complement number of negative value “-27” is “11100101”...

Explanation of Solution

Explanation with respect to the properties of sign-extension:

The LSB of the binary number represents the sign of the decimal value.

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

Answer 8

Chapter 2, Problem 19E

Explanation of Solution

To express “-27” into eight-bit 2’s complement number:

To convert the negative number “-27” into 2’s complement integer,

First compute the 1’s complement of the corresponding positive number and “1” to that result.

The positive number for the negative number “-27” is “27”.

The binary representation of positive number “27” is computed as follows,

128 64 32 16 8 4 2 1 Integer
0 0 0 1 1 0 1 1 27

From the above table, the binary representation of positive number “27” in eight bits is “00011011”.

The 1’s complement of the “00011011” is “11100100”.

Adding “1” to the above result “11100100” results the value “11100101”.

The Left most significant Bit (LSB) of the binary number is “1” and it represents the sign of the decimal value is negative.

Therefore, the 2’s complement number of negative value “-27” in eight-bit is “11100101”.

To express “-27” into sixteen-bit 2’s complement number:

The 2’s complement number of negative value “-27” is “11100101”...

Answer 9

Chapter 2, Problem 19E

Explanation of Solution

To express “-27” into eight-bit 2’s complement number:

To convert the negative number “-27” into 2’s complement integer,

First compute the 1’s complement of the corresponding positive number and “1” to that result.

The positive number for the negative number “-27” is “27”.

The binary representation of positive number “27” is computed as follows,

128 64 32 16 8 4 2 1 Integer
0 0 0 1 1 0 1 1 27

From the above table, the binary representation of positive number “27” in eight bits is “00011011”.

The 1’s complement of the “00011011” is “11100100”.

Adding “1” to the above result “11100100” results the value “11100101”.

The Left most significant Bit (LSB) of the binary number is “1” and it represents the sign of the decimal value is negative.

Therefore, the 2’s complement number of negative value “-27” in eight-bit is “11100101”.

To express “-27” into sixteen-bit 2’s complement number:

The 2’s complement number of negative value “-27” is “11100101”...

Answer 10

Explanation of Solution

Explanation with respect to the properties of sign-extension:

The LSB of the binary number represents the sign of the decimal value.

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

Answer 11

Explanation of Solution

Explanation with respect to the properties of sign-extension:

The LSB of the binary number represents the sign of the decimal value.

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

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

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

128	64	32	16	8	4	2	1	Integer
0	0	0	1	1	0	1	1	27

Explanation of Solution

Explanation of Solution

Explanation with respect to the properties of sign-extension: The LSB of the binary number represents the sign of the decimal value. The magnitude of positive number does not change by lengthening the sign bit “0” as many bit positions to the left as intended...

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Chapter 2 Solutions

Explanation with respect to the properties of sign-extension:

The LSB of the binary number represents the sign of the decimal value.

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