Two's Complement Calculator
Convert a signed integer to its 8-bit two's complement binary representation and hex byte code.
Two's Complement Signed Binary Mathematics
Two's complement calculator converts a signed integer to its 8-bit two's complement binary representation and hex byte code.
Two's complement is the standard way computers represent negative integers in binary. For an 8-bit byte, a negative number n is represented as the binary form of (256 + n), which makes addition/subtraction hardware simpler since it needs no separate subtraction circuit.
- 1Enter a signed integer between −128 and 127.
- 2View its 8-bit two's complement binary representation and hex byte code.
Find the 8-bit two's complement representation of −18.
Frequently Asked Questions (FAQ)
Two's complement lets addition and subtraction use the exact same circuitry — adding a two's-complement negative number naturally produces correct subtraction, with no special-case logic needed for the sign.
−128 to 127. This asymmetry (one more negative value than positive) exists because 00000000 represents 0, using up one of the 256 possible bit patterns that would otherwise represent a positive number.
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