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Question

Convert 172 into binary number.


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Solution

The given number is172.

If we represent any number in the form of 0and1, then that is the binary representation of the given number.

To convert a decimal number to binary, we divide it successively by2, until the quotient is 0. Keep the whole part for the next step and set the remainder aside.

1722=86,remainderis0,

862=43,remainderis0

432=21,remainderis1

212=10,remainderis1

102=5,remainderis0

52=2,remainderis1

22=1,remainderis0

12=0,remainderis1

Now, read from the bottom (MSB) to top (LSB) as 10101100

So 17210=101011002.


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