Multi-Operand Adder Merging for Logic Level Reduction
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Current designs for computer chips performing binary logic arithmetic operations, such as addition, subtraction, multiplication, and comparison, require optimization to reduce logic levels and area footprint, while existing methods fail to efficiently merge adders and convert arithmetic operators into efficient Boolean logic circuits.
Innovation Solution
The approach involves converting arithmetic operators into adders, identifying a topological order, merging adders into multi-operand adders, and transforming these into compressor trees to achieve fewer logic levels and a smaller area footprint, using techniques like carry-lookahead adder expansions and adder merging transforms.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If traditional separate adder designs are used for each arithmetic operation, then the implementation is straightforward and easy to understand, but the logic levels are excessive and the area footprint is large
Solution Approach 1:
The patent merges multiple separate adders into a single multi-operand adder that can perform multiple arithmetic operations (addition, subtraction, multiplication, comparison) simultaneously. This consolidation reduces the total number of logic levels from multiple sequential adder stages to a single integrated adder structure, directly resolving the contradiction between simplicity and complexity.
Solution Approach 2:
The multi-operand adder is designed as a universal circuit that can perform multiple arithmetic functions (addition, subtraction, multiplication, and comparison operations) through a single unified structure. This multi-functional design eliminates the need for separate dedicated adders for each operation, reducing overall device complexity while maintaining ease of implementation through a standardized approach.
2Adaptability or versatility
If multiple separate adders are used for different arithmetic operations, then each operation can be implemented independently, but the area footprint increases significantly
Solution Approach 1:
The patent combines multiple arithmetic operation circuits into a single multi-operand adder structure, merging what would otherwise be separate addition, subtraction, multiplication, and comparison circuits into one unified adder that handles all operations, thereby reducing the total area footprint while maintaining full arithmetic versatility.
Solution Approach 2:
The patent transitions from a sequential, operation-by-operation processing approach to a parallel, multi-operand processing dimension. By accepting multiple operands simultaneously and processing them in a single adder stage, the design achieves multiple arithmetic functions without the area penalty of multiple separate adders, effectively utilizing a higher-dimensional processing approach.
3Ease of manufacture
If conventional adder conversion methods are used, then the implementation is simple, but the area requirements remain excessive
Solution Approach 1:
The patent changes the fundamental parameters of the adder design by transitioning from traditional two-operand adders to multi-operand adders with optimized operand configurations. This parameter change enables more efficient area utilization while maintaining simple conversion processes from arithmetic operators to adder circuits, resolving the contradiction between ease of manufacture and area requirements.
Data Source
AI summary
In an approach for optimization of integer arithmetic expressions implemented as a Boolean logic circuit, a processor converts arithmetic operators in an arithmetic expression into adders. A processor identifies a topological order of the adders. A processor merges the adders based on the topological order into a multi-operand adder. A processor converts the multi-operand adder to a compressor tree and a two-operand adder. A processor performs the arithmetic expression based on the converted multi-operand adder.