C Program to Convert Decimal Numbers to Binary Numbers

Decimal number system is a base 10 number system using digits for 0 to 9 whereas binary number system is base 2 and uses 0 and 1. Given a decimal number as input from user we have to print the binary equivalent of input number.

For Example

• Divide the input decimal number by 2 and store the remainder.
• Store the quotient back to the input number variable.
• Repeat this process till quotient becomes zero.
• Equivalent binary number will be the remainders in above process in reverse order.

For Example

Suppose input decimal number is 13

Step 1. 13/2 , Remainder = 1, Quotient = 6

Step 2. 6/2 , Remainder = 0, Quotient = 3

Step 3. 3/2 , Remainder = 1, Quotient = 1

Step 4. 1/2 , Remainder = 1, Quotient = 0

Now, the Binary equivalent of 13 is the remainders in reverse order : 1101