Binary Multiplication Calculator

The binary multiplication calculator lets you execute a multiplication of two binary numbers. It also provides step-by-step instructions for this operation.

Binary digits, or use the base select.
Clear
Result100011011 + 110 = 17 in decimal
Binary10001
Octal21
Decimal17
Hexadecimal11
Bits used5

Every operation

OperationBinaryDecimal
+1000117
1015
×100001066
÷ (whole)11
remainder1015

The rule

the four operations, carried out in binary

Binary arithmetic is the same arithmetic

Adding in binary works exactly as in decimal — you just carry at 2 instead of 10. 1011 + 110 is 11 + 6 = 17, or 10001. Multiplication reduces to shifting and adding, which is precisely how hardware does it.