Subtracting signed binary numbers: To subtract two binary signed numbers, two’s complement arithmetic method should be used. So, negative numbers are represented in two’s complement form, after that add two numbers including their sign bit. If there is any carry bit, discard the bit and take the remaining bit which gives the final result. Some predefined rules should be followed when performing binary addition. The rules are given as follows: 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 0 (carry 1) 1+1+1 = 1 (carry 1)

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Answer 1

Question

Chapter 2, Problem 35E

a)

Program Plan Intro

Subtracting signed binary numbers:

To subtract two binary signed numbers, two’s complement arithmetic method should be used. So, negative numbers are represented in two’s complement form, after that add two numbers including their sign bit. If there is any carry bit, discard the bit and take the remaining bit which gives the final result.

Some predefined rules should be followed when performing binary addition. The rules are given as follows:

0+0 =00+1 =11+0 =11+1 =0 (carry 1)

1+1+1 = 1 (carry 1)

b)

Explanation of Solution

Subtracting signed binary numbers 01011011 and (-00011111):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00011111): 1110 0000

Two’s complement:

1110 0000 +1−−−−−−1110

c)

Explanation of Solution

Subtracting signed binary numbers 10101100 and (-00100100):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00100100): 1101 1011

Two’s complement:

1101 1011 +1−−−−−−<

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Answer 2

Question

Chapter 2, Problem 35E

a)

Program Plan Intro

Subtracting signed binary numbers:

To subtract two binary signed numbers, two’s complement arithmetic method should be used. So, negative numbers are represented in two’s complement form, after that add two numbers including their sign bit. If there is any carry bit, discard the bit and take the remaining bit which gives the final result.

Some predefined rules should be followed when performing binary addition. The rules are given as follows:

0+0 =00+1 =11+0 =11+1 =0 (carry 1)

1+1+1 = 1 (carry 1)

b)

Explanation of Solution

Subtracting signed binary numbers 01011011 and (-00011111):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00011111): 1110 0000

Two’s complement:

1110 0000 +1−−−−−−1110

c)

Explanation of Solution

Subtracting signed binary numbers 10101100 and (-00100100):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00100100): 1101 1011

Two’s complement:

1101 1011 +1−−−−−−<

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 2, Problem 35E

a)

Program Plan Intro

Subtracting signed binary numbers:

To subtract two binary signed numbers, two’s complement arithmetic method should be used. So, negative numbers are represented in two’s complement form, after that add two numbers including their sign bit. If there is any carry bit, discard the bit and take the remaining bit which gives the final result.

Some predefined rules should be followed when performing binary addition. The rules are given as follows:

0+0 =00+1 =11+0 =11+1 =0 (carry 1)

1+1+1 = 1 (carry 1)

b)

Explanation of Solution

Subtracting signed binary numbers 01011011 and (-00011111):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00011111): 1110 0000

Two’s complement:

1110 0000 +1−−−−−−1110

c)

Explanation of Solution

Subtracting signed binary numbers 10101100 and (-00100100):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00100100): 1101 1011

Two’s complement:

1101 1011 +1−−−−−−<

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2, Problem 35E

a)

Program Plan Intro

Subtracting signed binary numbers:

To subtract two binary signed numbers, two’s complement arithmetic method should be used. So, negative numbers are represented in two’s complement form, after that add two numbers including their sign bit. If there is any carry bit, discard the bit and take the remaining bit which gives the final result.

Some predefined rules should be followed when performing binary addition. The rules are given as follows:

0+0 =00+1 =11+0 =11+1 =0 (carry 1)

1+1+1 = 1 (carry 1)

b)

Explanation of Solution

Subtracting signed binary numbers 01011011 and (-00011111):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00011111): 1110 0000

Two’s complement:

1110 0000 +1−−−−−−1110

c)

Explanation of Solution

Subtracting signed binary numbers 10101100 and (-00100100):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00100100): 1101 1011

Two’s complement:

1101 1011 +1−−−−−−<

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 2, Problem 35E

a)

Program Plan Intro

Subtracting signed binary numbers:

To subtract two binary signed numbers, two’s complement arithmetic method should be used. So, negative numbers are represented in two’s complement form, after that add two numbers including their sign bit. If there is any carry bit, discard the bit and take the remaining bit which gives the final result.

Some predefined rules should be followed when performing binary addition. The rules are given as follows:

0+0 =00+1 =11+0 =11+1 =0 (carry 1)

1+1+1 = 1 (carry 1)

b)

Explanation of Solution

Subtracting signed binary numbers 01011011 and (-00011111):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00011111): 1110 0000

Two’s complement:

1110 0000 +1−−−−−−1110

c)

Explanation of Solution

Subtracting signed binary numbers 10101100 and (-00100100):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00100100): 1101 1011

Two’s complement:

1101 1011 +1−−−−−−<

Answer 6

Chapter 2, Problem 35E

a)

Program Plan Intro

Subtracting signed binary numbers:

To subtract two binary signed numbers, two’s complement arithmetic method should be used. So, negative numbers are represented in two’s complement form, after that add two numbers including their sign bit. If there is any carry bit, discard the bit and take the remaining bit which gives the final result.

Some predefined rules should be followed when performing binary addition. The rules are given as follows:

0+0 =00+1 =11+0 =11+1 =0 (carry 1)

1+1+1 = 1 (carry 1)

Answer 7

Chapter 2, Problem 35E

a)

Program Plan Intro

Subtracting signed binary numbers:

To subtract two binary signed numbers, two’s complement arithmetic method should be used. So, negative numbers are represented in two’s complement form, after that add two numbers including their sign bit. If there is any carry bit, discard the bit and take the remaining bit which gives the final result.

Some predefined rules should be followed when performing binary addition. The rules are given as follows:

0+0 =00+1 =11+0 =11+1 =0 (carry 1)

1+1+1 = 1 (carry 1)

Answer 8

b)

Explanation of Solution

Subtracting signed binary numbers 01011011 and (-00011111):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00011111): 1110 0000

Two’s complement:

1110 0000 +1−−−−−−1110

Answer 9

b)

Explanation of Solution

Subtracting signed binary numbers 01011011 and (-00011111):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00011111): 1110 0000

Two’s complement:

1110 0000 +1−−−−−−1110

Answer 10

c)

Explanation of Solution

Subtracting signed binary numbers 10101100 and (-00100100):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00100100): 1101 1011

Two’s complement:

1101 1011 +1−−−−−−<

Answer 11

c)

Explanation of Solution

Subtracting signed binary numbers 10101100 and (-00100100):

Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction.

One’s complement of (00100100): 1101 1011

Two’s complement:

1101 1011 +1−−−−−−<

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 2.2A - Prob. 1E Ch. 2.2A - Prob. 2E Ch. 2.2A - Prob. 3E Ch. 2.2A - Prob. 4E Ch. 2 - Prob. 1RETC Ch. 2 - Prob. 2RETC Ch. 2 - Prob. 3RETC Ch. 2 - Prob. 4RETC Ch. 2 - Prob. 5RETC Ch. 2 - Prob. 6RETC

Explanation of Solution

Explanation of Solution

Subtracting signed binary numbers 10101100 and (-00100100): Consider the two binary numbers. The two’s complement should be taken for signed numbers in order to perform the signed binary subtraction. One’s complement of (00100100): 1101 1011 Two’s complement: 1101 1011 +1−−−−−−<

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Chapter 2 Solutions