Unsigned binary representation is used to represent only non-negative values (0 and positive numbers). Since there is no sign bit, all available bits are used to store the value, allowing a larger positive range than signed representation.
- Represents only zero and positive integers.
- Uses all bits to store the magnitude of the number.
Range of Unsigned Numbers
An n-bit unsigned binary number can represent values from:
0 to 2n−1
Example
- 4-bit: 0 to 15
- 8-bit: 0 to 255
- 16-bit: 0 to 65,535
Advantages
- Larger Positive Range: Since there is no sign bit, all available bits are used to represent the value.
- Easy to Work With: Arithmetic operations are simpler because only non-negative values are involved.
- Efficient Memory Usage: Makes the best use of the available bits when negative numbers are not needed.
Disadvantages
- No Support for Negative Values: Unsigned numbers cannot represent values less than zero.
- Overflow Is Possible: Calculations that exceed the maximum value wrap around and produce incorrect results.
- Not Suitable for Every Situation: Applications that require both positive and negative values need signed representation instead.
Applications
- Memory Addressing: Widely used to represent memory addresses in computer systems.
- Counters and Timers: Commonly used for counting events and measuring time in digital circuits.
- Image and Graphics: Stores pixel intensity and RGB color values, which are always non-negative.
- Computer Networking: Used for port numbers, packet sizes, and other protocol fields.
- Embedded Systems: Represents values such as sensor counts, timer values, and configuration settings.