Frequently Asked Questions

Binary addition works column by column from right to left, just like decimal addition. 1 + 1 = 10 in binary, so a carry of 1 moves to the next column, exactly as carrying works in base 10.

Binary subtraction borrows from the next column when the top bit is smaller than the bottom bit, the same way decimal subtraction borrows. This calculator requires the first number to be greater than or equal to the second.

Binary multiplication uses the same partial-products method as decimal long multiplication. Each bit of the second number produces a shifted copy of the first number (or all zeros), and the partial products are summed.

This calculator only supports non-negative results, so the first number (A) must be greater than or equal to the second number (B).

Only the digits 0 and 1 are valid binary inputs. Any other character will show an error.

Yes, both input numbers and the final result are shown in decimal alongside the binary values so you can verify the arithmetic.

The calculator handles typical classroom-sized binary numbers reliably. Extremely long binary strings may lose precision because JavaScript numbers are limited to 53 bits of integer precision.

Because binary only has two digits, any column sum of 2 or more must carry into the next column. Tracking carries correctly is the most common source of manual binary addition errors.

Yes, for addition, subtraction, and multiplication of non-negative binary integers, this tool gives instant results with full working shown.

Yes, the binary arithmetic calculator is completely free with no sign-up, and all calculations run instantly in your browser.