Binary Multiplication Calculator

Your details

Enter a binary number using only the digits 0 and 1 (no spaces or prefix).
Enter a binary number using only the digits 0 and 1.
Product (binary)
110111

Result of the multiplication in base-2 (binary)

Product (decimal)55
Product (hexadecimal)37
Multiplicand (decimal)11
Multiplier (decimal)5
Multiplicand (decimal)11
Multiplier (decimal)5
Product (decimal)55

11 x 5 = 55 (110111 in binary)

  • In decimal: 11 x 5 = 55.
  • The product needs 6 bits to represent in binary.
  • The result fits in a single byte (8 bits).
  • Binary multiplication follows the same long-multiplication algorithm as decimal, but column sums use binary addition (0+0=0, 0+1=1, 1+1=10).

Next stepTo verify, convert your binary product to decimal: multiply each bit by the corresponding power of 2 and add the results.

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