Question

what are the rules to convert a decimal numbers into binary Numbers

Answer 1

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The following technique, called the (Division ? Remainder Technique) is easiest & simple method used to convert decimal to binary numbers. 

Step ? 1 

Divide the decimal number to be converted by the value of the new base. In this case divide it by 2. 

Step ? 2 

Record the remainder from Step ? 1 as the rightmost digit. 

Step ? 3 

Divide the quotient of the previous by the new base. 

Step ? 4 

Record the remainder from Step ? 3 as the next digit (to the left) of the new base number. 

Step ? 5 

Bottom to top sequence of remainder will be the required converted number. Repeat Step ? 3 & Step ? 4, recording remainders from right to left, until the quotient becomes less than the digit of new base so that it cannot be divided. 

All these? steps are performed in the following picture for converting decimal numbers to binary. Isn't that simple & easy.
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Answer 2

Answer: (a) Divide the given decimal number with the base 2.

(b) Write down the remainder and divide the quotient again by 2.

(c) Repeat the step (b) till the quotient is zero.