One's Complement Calculator
Convert between decimal and one's complement binary representation
One's Complement Calculator
Number of bits for binary representation
Example One's Complement Conversions
Positive Numbers (8-bit)
Binary to Decimal (8-bit)
One's Complement Rules
Sign Bit
- • First bit = 0: Positive number
- • First bit = 1: Negative number
Conversion Process
- • Positive: Flip all bits
- • Negative: Flip all bits to get magnitude
- • All bits are inverted (0↔1)
Range (n-bit)
- • Positive: 0 to 2^(n-1) - 1
- • Negative: -(2^(n-1) - 1) to -0
- • Two representations for zero
Bit Width Ranges
One's Complement Tips
Simple bit flipping operation
Two representations for zero
Less common than two's complement
Used in some legacy systems
Understanding One's Complement
What is One's Complement?
One's complement is a mathematical operation on binary numbers that flips all bits - changing every 0 to 1 and every 1 to 0. It's one method used to represent negative numbers in binary systems, though it's less common than two's complement.
Key Characteristics:
- • Simple bit inversion operation
- • Sign bit determines positive/negative
- • Two representations for zero (+0 and -0)
- • Symmetric range around zero
- • End-around carry in arithmetic
Applications and Limitations
Historical Use
One's complement was used in some early computer systems and is still found in certain specialized applications and legacy systems.
Limitations
The main limitation is having two representations for zero (0000 and 1111 in 4-bit), which complicates arithmetic operations and comparisons.
vs Two's Complement
Two's complement (one's complement + 1) is more widely used in modern systems because it has only one representation for zero and simpler arithmetic.