How many bits are required to represent the number -756 in

Chapter , Problem 4.13

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QUESTION:

How many bits are required to represent the number -756 in 2's-complement binary?

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QUESTION:

How many bits are required to represent the number -756 in 2's-complement binary?

ANSWER:

Step 1 of 2

The given decimal number is -756.

To convert the decimal number 756 into binary bits, follow the below procedure,

756

378

0

188

0

94

0

47

0

23

1

11

1

5

1

2

1

1

0

0

1

In the second row, the number 756 is divided by 2, the quotient will be 378, and remainder 0.

Similarly, 378 is divided by 2, the quotient will be 188 and remainder 0.

In this way, the binary numbers in 0 and 1 is obtained by division method.

Counting from downward direction, the binary conversion of decimal number 756 is 1011110000.

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