Decimal to Binary

Please input decimal values for conversion into binary.

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How to Convert Decimal to Binary

To convert a decimal number to binary, you can use a simple process. Here's how you can do it:

Conversion Steps:

1. Start with your decimal number. For example, let's use the decimal number 42.
2. Divide the decimal number by 2, and note down the quotient and remainder.
   • 42 divided by 2 equals 21 with a remainder of 0 (42 ÷ 2 = 21 remainder 0).
3. Repeat the division process with the quotient until the quotient becomes zero.
   • 21 divided by 2 equals 10 with a remainder of 1 (21 ÷ 2 = 10 remainder 1).
   • 10 divided by 2 equals 5 with a remainder of 0 (10 ÷ 2 = 5 remainder 0).
   • 5 divided by 2 equals 2 with a remainder of 1 (5 ÷ 2 = 2 remainder 1).
   • 2 divided by 2 equals 1 with a remainder of 0 (2 ÷ 2 = 1 remainder 0).
   • 1 divided by 2 equals 0 with a remainder of 1 (1 ÷ 2 = 0 remainder 1).
4. Write down the remainders from bottom to top to form the binary representation.
   • The remainders are 101010, so the binary representation is 101010.

That's it! You've successfully converted a decimal number to binary.