Redundant Number Representations Redundant number representations are a technique used in VLSI design to minimize the impact of errors and simplify the impl...
Redundant Number Representations
Redundant number representations are a technique used in VLSI design to minimize the impact of errors and simplify the implementation of arithmetic circuits. These representations employ multiple encoding schemes or representations of the same number to achieve this goal.
Consider the binary number 01010. Encoding this in a redundant format could result in several different representations, such as:
Base-4: 01010 becomes "100110"
Base-8: 01010 becomes "01000101"
Base-2: 01010 becomes "10010"
These alternative representations offer the same numerical value but use fewer bits, reducing the overall design complexity and minimizing power consumption.
By employing redundant number representations, designers can achieve significant performance improvements while maintaining accuracy and minimizing area consumption. For example, redundant binary encoding can be used to achieve significant performance improvements over conventional binary encoding while maintaining accuracy