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Binary/Decimal Converter

100% Free Instant Results No Sign-up High Quality

How to Use the Binary/Decimal Converter:

  1. 1Enter a value in either binary or decimal input.
  2. 2View the instant conversion in the other field.
  3. 3Correct invalid input if an error appears.

Frequently Asked Questions

Binary is a base-2 number system using only 0s and 1s. Computers use binary because digital circuits have two states: on (1) and off (0). All data—numbers, text, images, programs—is ultimately stored and processed as binary patterns at the hardware level.

Repeatedly divide the decimal number by 2 and note the remainder. Read the remainders from bottom to top. Example: 13 ÷ 2 = 6 remainder 1, 6 ÷ 2 = 3 remainder 0, 3 ÷ 2 = 1 remainder 1, 1 ÷ 2 = 0 remainder 1. Result: 1101.

This tool handles positive integers. Negative binary numbers require signed representation like two's complement, which needs a fixed bit width. For basic conversion learning, start with positive numbers to understand the fundamental concepts.
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