Results

Result (Decimal)

Result (Binary Magnitude)

Minuend (Padded Binary)

Subtrahend (Padded Binary)

Binary Subtraction Calculator

Our Binary Subtraction Calculator subtracts one binary number (the subtrahend) from another (the minuend) and shows the result in both binary and decimal — including negative results, when the subtrahend is larger.

How Binary Subtraction Works

Binary subtraction follows the same column-by-column method as decimal subtraction, using just four rules: 0−0=0, 1−1=0, 1−0=1, and 0−1=1 with a borrow from the next column (this is called the borrow method). Computers typically use a different technique called the two's complement method instead — it flips the subtrahend's bits, adds 1, then adds the result to the minuend — because it lets the same hardware that adds numbers also subtract them.

Example Calculation (8-bit)

Minuend: 1100 (12), Subtrahend: 1010 (10)

00001100 − 00001010 = 00000010

✓ Result = 2

Minuend: 1010 (10), Subtrahend: 1100 (12)

The subtrahend is larger, so the result is negative

✓ Result = −2 (binary magnitude 00000010)

Features of Our Binary Subtraction Calculator

✅ Handles negative results automatically

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

✅ Shows padded binary for both operands

✅ Free to use, no sign-up required

Who Can Use This Calculator?

Students – For computer science and digital logic homework

Programmers – For verifying binary arithmetic in low-level code

Teachers – For demonstrating the borrow method step by step

Puzzle Solvers – For quick binary arithmetic checks

👉 Try our Binary Subtraction Calculator to subtract any two binary numbers instantly.