Binary Subtraction Calculator with Steps

Enter two non-negative binary integers to calculate the signed result and view an aligned borrow table that explains each subtraction column.

Minuend A

Subtrahend B

—Binary subtraction result

—Decimal result

—Borrow columns

Bit position	A bit	B bit	Borrow in	Result bit	Borrow out

The table demonstrates ordinary base-2 borrowing on the larger magnitude. If B is larger than A, the magnitude is subtracted in reverse and a minus sign is applied to the final result.

Check the number representation

Keep number base, bit width, signedness and byte order explicit instead of letting one representation silently imply another.

ParseIdentify the input base or prefix before calculation.

RepresentCross-check binary, octal, decimal and hexadecimal views.

CalculateUse arithmetic or bitwise operations with exact integer scope.

Inspect bitsChoose width, signed interpretation, shifts and byte order explicitly.

Copy / verifyCopy only after checking the representation your code or protocol expects.

Base arithmetic Binary calc Hex calc Bitwise Shift Signed/unsigned Two’s complement IEEE-754 Endian

All developer-number calculations run locally. Fixed-width tools model integer bit patterns, not language-specific undefined behavior, CPU flags, binary protocol schemas or floating-point reinterpretation unless a dedicated tool says so.

Fixed-width subtraction with borrow and signed evidence

Subtract binary bit patterns at an explicit width, compare unsigned versus two’s-complement interpretation, and inspect every borrow step.

ABBit widthInterpretation

—A − B

—Fixed-width result

—Final borrow

—Signed overflow

Ready.

Bit	A	B	Borrow in	Result	Borrow out

Representation is context

A hexadecimal or binary string does not automatically tell you whether a value is signed, how wide it is, whether bytes are little endian, or whether the bits represent an integer or floating-point value.

Borrow steps versus machine arithmetic

The displayed work follows ordinary unsigned binary subtraction, so each borrow moves one power-of-two place to the left. This is useful for checking the arithmetic by hand, but it is not automatically the same as subtracting fixed-width signed machine integers.

Verify the result in two representations

Convert both operands to decimal, subtract them, and convert the result back to binary as an independent check. If you are modeling CPU registers, network fields, or two’s-complement values, choose the required bit width first and account for wraparound, sign bits, and overflow separately. Dropping leading zeroes can also hide the width that a binary protocol expects.