Question

what are the rules to convert a decimal number into a Binary number.?​

Answer 1

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Answer 2

Answer:

An easy method of converting decimal to binary number equivalents is to write down the decimal number and to continually divide-by-2 (two) to give a result and a remainder of either a “1” or a “0” until the final result equals zero.

Explanation:

So for example.  Convert the decimal number 29410 into its binary number equivalent.

Number 294    

Dividing each decimal number by “2” as shown will give a result plus a remainder.

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If the decimal number being divided is even then the result will be whole and the remainder will be equal to “0”. If the decimal number is odd then the result will not divide completely and the remainder will be a “1”.

The binary result is obtained by placing all the remainders in order with the least significant bit (LSB) being at the top and the most significant bit (MSB) being at the bottom.

divide by 2

result 147 remainder 0  (LSB)

divide by 2

result 73 remainder 1

divide by 2

result 36 remainder 1

divide by 2

result 18 remainder 0

divide by 2

result 9 remainder 0

divide by 2

result 4 remainder 1

divide by 2

result 2 remainder 0

divide by 2

result 1 remainder 0

divide by 2

result 0 remainder 1  (MSB)