Results

Result (Binary)

Result (Decimal, wrapped to width)

True Product (Decimal, unbounded)

Overflow

Factor A (Padded Binary)

Factor B (Padded Binary)

Binary Multiplication Calculator

Our Binary Multiplication Calculator multiplies two binary numbers together and shows the product in both binary and decimal — including a warning when the true product is too large to fit in your chosen bit width.

How Binary Multiplication Works

Binary multiplication works the same way as decimal long multiplication, but every digit is either 0 or 1, so each partial product is either all zeros or an exact copy of the other number, shifted into position. Those partial products are then added together with ordinary binary addition to get the final result. Because multiplying two numbers can produce a result with roughly twice as many bits as either factor, the true product can easily overflow a fixed bit width.

Example Calculations (8-bit)

A: 110 (6), B: 101 (5)

00000110 × 00000101 = 00011110

✓ Result = 30, no overflow

A: 11111111 (255), B: 10 (2)

255 × 2 = 510 — too large for 8 bits (max 255)

✓ True Product = 510, wrapped Result = 11111110 (254), Overflow = Yes

Features of Our Binary Multiplication Calculator

✅ Detects overflow automatically

✅ Choose 4, 8, 12, 16, 32, 64-bit, or a custom bit width

✅ Shows both the wrapped and true unbounded product

✅ Free to use, no sign-up required

Who Can Use This Calculator?

Students – For computer science and digital logic homework

Programmers – For debugging overflow bugs in low-level code

Teachers – For demonstrating binary multiplication step by step

Puzzle Solvers – For quick binary arithmetic checks

👉 Try our Binary Multiplication Calculator to multiply any two binary numbers instantly.