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Question

The binary number expression of the decimal number31 is


A

1111

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B

10111

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C

11011

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D

11111

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Solution

The correct option is D

11111


Correct option: (d)11111

In the binary system, we use 1 and 0 to represent numbers.

To convert decimal number to binary, divide the given decimal number by 2 and note down the remainder.

Now, divide the obtained quotient by 2, and note the remainder again.

Repeat the steps until you get0 as the quotient.

Write the remainders in such a way that the last remainder is written first, followed by the rest in the reverse order.

division

quotient

remainder

312

15

1

152

7

1

72

3

1

32

1

1

12

0

1

Arrange the remainders in reverse order.

We get11111

So binary number equivalent to31 is 11111

Hence, the correct option is (d)


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