Binary Division Calculator

Your details

The binary number you want to divide. Use only 0s and 1s (e.g. 1101 for decimal 13).
The binary number to divide by. Must be non-zero (e.g. 10 for decimal 2).
Pads the result to a fixed bit width. Auto uses the minimum bits needed.
Quotient (binary)
110

Result of the division in binary

Quotient (decimal)6
Remainder (binary)1
Remainder (decimal)1
Dividend (decimal)13
Divisor (decimal)2

1101 / 10 = 110 remainder 1

  • 1101 (decimal 13) divided by 10 (decimal 2) gives quotient 110 (decimal 6).
  • The remainder is 1 (decimal 1), meaning the division is not exact.
  • Since 10 is a power of 2, the quotient can also be obtained by right-shifting 1101 by 1 bit.
  • Verification: 6 x 2 + 1 = 13 (should equal 13).

Next stepTo verify: multiply the quotient by the divisor in binary, then add the remainder. The result should equal the original dividend.

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