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What bit pattern would represent the decimal number -89 in the following format?

ID: 3881304 • Letter: W

Question

What bit pattern would represent the decimal number -89 in the following format?

Signed magnitude:

One's complement:

Two's complement:

Excess-127

What decimal values does the 8-bit binary number 10110100 have if:

It is interpreted as an unsigned number?

It is on a computer using signed-magnitude representation?

It is on a computer using one's complement representation?

It is on a computer using two's complement representation?

It is on a computer using excess-127 representation

Given the following two binary numbers: 11111100 and 01110000

Which of these two numbers is the larger unsigned binary number?

Which of these two is the larger when it is being interpreted on a computer using signed two's complement representation?

Which of these tow is the smaller when it is being interpreted on a computer using signed-magnitude representation?

Subtract the following signed binary numbers using 2's complement arithmetic:

11000100 - 00111011 = ________________________

Using arithmetic shifting, what is the result of dividng the value 110010102 in half? _____________________

Explanation / Answer

Here the following are the answers for your questions

(1)What bit pattern would represent the decimal number -89 in the following format?

Signed magnitude: 11011001

One's complement: 10100110

Two's complement: 10100111

Excess-127 : 0100110

(2)

What decimal values does the 8-bit binary number 10110100 have if:

It is interpreted as an unsigned number?

Signed-magnitude representation: -76

One's complement representation: -75

Two's complement representation: -76

(3)

Given the following two binary numbers: 11111100 and 01110000

11111100 is the larger unsigned binary number.

01110000 is the larger when it is being interpreted on a computer using signed two's complement representation.

11111100 is the smaller when it is being interpreted on a computer using signed-magnitude representation?

(4)

Subtract the following signed binary numbers using 2's complement arithmetic:

11000100 - 00111011 = 11000001

11000100 - 00111011 =193(Result in decimal)

(5) Using arithmetic shifting what is the result of dividng the value 110010102 in half?

The Answer is :   01100101

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