How to convert decimal to binary?

  1. Divide by 2: Continuously divide the decimal number by 2 until the quotient is 0.
  2. Record the remainder: Record the remainder (either 0 or 1) after each division.
  3. Reverse the order of the remainders: Arrange all the remainders in reverse order of the divisions; this will give you the binary representation of the decimal number.

Example

Converting decimal 13 to binary:

  1. 13 ÷ 2 = 6, remainder 1
  2. 6 ÷ 2 = 3, remainder 0
  3. 3 ÷ 2 = 1, remainder 1
  4. 1 ÷ 2 = 0, remainder 1

Reversing the remainders gives: 1101, so the binary representation of decimal 13 is 1101.

You can use this method to convert any decimal number!

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