Signed magnitude representation: In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit. The Most Significant Bit (MSB) in the binary number is referred as sign bit. In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign. For example: Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100. One’s complement: The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1. For example: Consider the binary number 1101, the one’s complement of the given number is 0010. Two’s complement: Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement. For example: Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.

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Answer 1

Question

Chapter 2, Problem 26E

26E

Program Plan Intro

Signed magnitude representation:

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

For example:

Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100.

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

For example:

Consider the binary number 1101, the one’s complement of the given number is 0010.

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

For example:

Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.

a)

Explanation of Solution

Generalizing the range of values using signed magnitude representation:

Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below:

For the number of bits “3” or ...

b)

Explanation of Solution

Generalizing the range of values using one’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below:

For the number of bits “3” or...

c)

Explanation of Solution

Generalizing the range of values using two’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below:

For the number of bits “3” o...

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Answer 2

Question

Chapter 2, Problem 26E

26E

Program Plan Intro

Signed magnitude representation:

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

For example:

Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100.

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

For example:

Consider the binary number 1101, the one’s complement of the given number is 0010.

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

For example:

Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.

a)

Explanation of Solution

Generalizing the range of values using signed magnitude representation:

Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below:

For the number of bits “3” or ...

b)

Explanation of Solution

Generalizing the range of values using one’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below:

For the number of bits “3” or...

c)

Explanation of Solution

Generalizing the range of values using two’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below:

For the number of bits “3” o...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 2, Problem 26E

26E

Program Plan Intro

Signed magnitude representation:

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

For example:

Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100.

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

For example:

Consider the binary number 1101, the one’s complement of the given number is 0010.

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

For example:

Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.

a)

Explanation of Solution

Generalizing the range of values using signed magnitude representation:

Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below:

For the number of bits “3” or ...

b)

Explanation of Solution

Generalizing the range of values using one’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below:

For the number of bits “3” or...

c)

Explanation of Solution

Generalizing the range of values using two’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below:

For the number of bits “3” o...

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2, Problem 26E

26E

Program Plan Intro

Signed magnitude representation:

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

For example:

Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100.

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

For example:

Consider the binary number 1101, the one’s complement of the given number is 0010.

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

For example:

Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.

a)

Explanation of Solution

Generalizing the range of values using signed magnitude representation:

Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below:

For the number of bits “3” or ...

b)

Explanation of Solution

Generalizing the range of values using one’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below:

For the number of bits “3” or...

c)

Explanation of Solution

Generalizing the range of values using two’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below:

For the number of bits “3” o...

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 2, Problem 26E

26E

Program Plan Intro

Signed magnitude representation:

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

For example:

Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100.

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

For example:

Consider the binary number 1101, the one’s complement of the given number is 0010.

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

For example:

Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.

a)

Explanation of Solution

Generalizing the range of values using signed magnitude representation:

Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below:

For the number of bits “3” or ...

b)

Explanation of Solution

Generalizing the range of values using one’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below:

For the number of bits “3” or...

c)

Explanation of Solution

Generalizing the range of values using two’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below:

For the number of bits “3” o...

Answer 6

Chapter 2, Problem 26E

26E

Program Plan Intro

Signed magnitude representation:

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

For example:

Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100.

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

For example:

Consider the binary number 1101, the one’s complement of the given number is 0010.

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

For example:

Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.

Answer 7

Chapter 2, Problem 26E

26E

Program Plan Intro

Signed magnitude representation:

In signed magnitude representation, an extra bit is used to represent the sign of the number. This extra bit is called sign bit.

The Most Significant Bit (MSB) in the binary number is referred as sign bit.

In the signed magnitude representation, if the MSB is 0 it is treated as positive sign and if the MSB is 1 it is treated as negative sign.

For example:

Consider the decimal number 36 and can be represented as 00100100 and the -36 can be represented as 10100100.

One’s complement:

The binary numbers can be represented using one’s complement. Here, the value of every binary digit is complemented that is if the value is 1, it becomes 0 and if the value is 0 it becomes 1.

For example:

Consider the binary number 1101, the one’s complement of the given number is 0010.

Two’s complement:

Two’s complement is another way of representing the binary numbers. To implement the two’s complement to the number, the given binary number should be one’s complemented and then add 1 to the result obtained after one’s complement.

For example:

Consider the binary number 1011. First implement the one’s complement to the given binary number. The number becomes 0100. Then add 1 to the resultant obtained after the one’s complement. The result becomes 0101.

Answer 8

a)

Explanation of Solution

Generalizing the range of values using signed magnitude representation:

Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below:

For the number of bits “3” or ...

Answer 9

a)

Explanation of Solution

Generalizing the range of values using signed magnitude representation:

Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below:

For the number of bits “3” or ...

Answer 10

b)

Explanation of Solution

Generalizing the range of values using one’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below:

For the number of bits “3” or...

Answer 11

b)

Explanation of Solution

Generalizing the range of values using one’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below:

For the number of bits “3” or...

Answer 12

c)

Explanation of Solution

Generalizing the range of values using two’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below:

For the number of bits “3” o...

Answer 13

c)

Explanation of Solution

Generalizing the range of values using two’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below:

For the number of bits “3” o...

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

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

Explanation of Solution

Generalizing the range of values using signed magnitude representation: Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below: For the number of bits “3” or ...

Explanation of Solution

Generalizing the range of values using one’s complement: Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below: For the number of bits “3” or...

Explanation of Solution

Generalizing the range of values using two’s complement: Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below: For the number of bits “3” o...

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Chapter 2 Solutions

Generalizing the range of values using signed magnitude representation:

Generalizing the range of value represented in any given “x” numbers of bits derived from the given two tables using signed magnitude is shown below:

For the number of bits “3” or ...

Generalizing the range of values using one’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using one’s complement is shown below:

For the number of bits “3” or...

Generalizing the range of values using two’s complement:

Generalizing the range of value represented in any given “x” numbers of bits from the above given two table represented using two’s complement is shown below:

For the number of bits “3” o...