Binary Multiplication Calculator

Multiply two binary numbers step by step, showing intermediate partial products and the final result in binary and decimal.

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How to use this tool?

How to Use the Binary Multiplication Calculator

This calculator multiplies two binary numbers (base-2) and shows the result in both binary and decimal, along with step-by-step partial products.

  1. Enter Binary Numbers — Type valid binary numbers (only digits 0 and 1) into the two input fields. Examples: 1011, 1101.
  2. Click "Multiply" — Press the blue Multiply button or hit Enter while in either input field.
  3. View Results — The result appears below:
    • Result — Shows the product in binary and its decimal equivalent.
    • Step-by-Step — Lists each partial product (with decimal value) and the final sum, helping you understand the multiplication process.

Tip: If you see an error, ensure both inputs contain only 0 and 1 with no spaces or other characters.

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Frequently Asked Questions

Binary multiplication works like decimal multiplication but using only 0 and 1. Each digit of the second number multiplies the first number, creating partial products that are shifted left and then summed.

Yes, the calculator handles binary numbers of any length, limited only by JavaScript's integer precision (up to 2^53). For very large numbers, results may be approximate.

The calculator will display an error message. Only digits 0 and 1 are allowed. Spaces are not permitted.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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