Technology & Computing
Two's Complement Signed Integer Range Calculator
Find the two's complement binary/hex encoding of a signed value and the representable range for a given bit width.
Your inputs
Change any value to update the result instantly.
Two's complement binary
11111111111111111111111111111111 (0xFFFFFFFF)
Minimum representable value
-2,14,74,83,648
Maximum representable value
2,14,74,83,647
Bit width
32 bits
Values outside the representable range wrap around (overflow) in real hardware arithmetic.
Formula and working
Range = [-2^(w-1), 2^(w-1) - 1]; Negative encoding = 2^w + value (mod 2^w)
- 1
Collect the inputs
Integer width = 32; Signed value = -1
- 2
Apply the formula
Range = [-2^(w-1), 2^(w-1) - 1]; Negative encoding = 2^w + value (mod 2^w)
- 3
Result
Two's complement binary = 11111111111111111111111111111111 (0xFFFFFFFF)
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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