Conversion of Decimal Number to Binary Number

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A binary number can be readily converted to a decimal number, just by adding their positional values. Let us have a shortcut formula to convert a decimal number to binary. It is called as Division-Remainder technique. The steps to be followed are,

i) Divide a decimal number by 2 and write down its quotient and remainder.

ii) Divide the quotient further by 2 and write down its quotient and remainder.

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iii) Repeat this process until the quotient becomes zero.

iv) Arrange the remainders from bottom to top and get the required binary number.

Example:

Let us convert the decimal number 18 to binary.

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Thus

10 0 10

b i nary

We can interconvert any other systems just following the above steps. The base 2 may be replaced by other bases.

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