Math

Binary Multiplication Calculator

Multiply two numbers and show the binary product.

Calculated Output

Product (decimal) 30

Product (binary) 11110

Formula: a × b, shown in base 2

Step-by-Step Breakdown

1. Values used:

2. Factor a (decimal) = 6

3. Factor b (decimal) = 5

5. Product (decimal) = Factor a (decimal) x Factor b (decimal) = 6 x 5 = 30

6. Product (binary) = 11110

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The math behind it

Binary multiplication uses shift-and-add: each 1 bit in the multiplier shifts and adds the multiplicand.

6 × 5 = 30 = 11110 in binary.

Is binary multiplication simpler than decimal?

Yes — each partial product is just a shift, since the digits are only 0 or 1.