Home Calculators Two's Complement Calculator

Two's Complement Calculator

Convert integers to two's complement binary, perform binary arithmetic with overflow detection, and explore every number representation in 4, 8, 16, or 32-bit widths.

Two's complement: invert all bits, then add 1 · MSB is the sign bit

Mode

Convert a number or perform binary arithmetic

Integer Value

Bit Width

Input Format

Quick Examples

Classic two's complement scenarios

Result

Two's Complement

—

Decimal—

Hexadecimal—

Octal—

Binary (signed)—

Bit Width—

Sign Bit—

Range Reference

4-bit signed−8 to 7

8-bit signed−128 to 127

16-bit signed−32768 to 32767

32-bit signed−2³¹ to 2³¹−1

Quick Reference

−n in 2C~n + 1

MSB = 1negative

MSB = 0positive

All 1s−1

1000...0MIN_INT

Two's Complement Calculator

Mode

Quick Examples

Number Representations

Bit Visualizer

Step-by-Step Conversion

Arithmetic Result