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Decimal to Binary



This converter converts the given decimal number to binary.

Decimal to Binary

Decimal to binary conversion is the process of converting a decimal (base-10) number into its binary (base-2) representation.

In the decimal system, numbers are expressed using the digits 0 through 9, while in the binary system, only 0 and 1 are used.

The decimal to binary conversion involves repeatedly dividing the decimal number by 2 and recording the remainders until the quotient becomes 0.

Stesp to convert decimal to binary

Here are the steps to convert a decimal number to binary:

  1. Divide the decimal number by 2.
  2. Record the remainder (it will be either 0 or 1).
  3. Divide the quotient obtained in step 1 by 2.
  4. Record the remainder again.
  5. Repeat steps 3 and 4 until the quotient becomes 0.
  6. The binary equivalent is the sequence of remainders read in reverse order.

Example

Let's take an example to illustrate the process. Suppose we want to convert the decimal number 13 to binary:

  1. 13 ÷ 2 = 6 with a remainder of 1 (record 1)
  2. 6 ÷ 2 = 3 with a remainder of 0 (record 0)
  3. 3 ÷ 2 = 1 with a remainder of 1 (record 1)
  4. 1 ÷ 2 = 0 with a remainder of 1 (record 1)

Reading the remainders in reverse order gives us the binary equivalent: 1101.

Therefore, 13 in decimal is equal to 1101 in binary.