Pipelined Multiply-Scan Circuit Using Serial Shift Modules
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Solution Overview
Problem
Current general-purpose computer systems are inefficient in executing multiply-scan operations compared to simpler operations, lacking a special-purpose circuit for pipelined multiply-scan operations.
Innovation Solution
A pipelined multiply-scan apparatus and method utilizing serially-connected left-shift modules and adder modules, with enable inputs to manage the processing of multiply-scan input signals, producing a multiply-scan result efficiently by dedicated hardware configurations such as ASICs or FPGAs.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If a general-purpose computer system executes multiply-scan operations, then the system can perform multiple types of operations, but the processing efficiency is low compared to simpler operations
Solution Approach 1:
The multiply-scan operation is divided into multiple pipeline stages including left-shift modules and adder modules that process different bits independently. Each stage handles a specific portion of the computation, allowing parallel processing of multiple input values through the pipeline, thereby improving efficiency while maintaining operational versatility.
Solution Approach 2:
The invention transitions from sequential processing in general-purpose systems to a multi-dimensional pipeline architecture where multiple operations occur simultaneously at different stages. The pipeline structure adds a temporal dimension to processing, enabling multiple multiply-scan operations to be in progress at once, significantly improving throughput.
2Productivity
If a special-purpose circuit is designed for pipelined multiply-scan operations, then processing efficiency increases, but device complexity increases
Solution Approach 1:
The complex multiply-scan operation is segmented into standardized pipeline stages with left-shift modules and adder modules. Each module performs a simple, well-defined function, making the overall complex operation manageable through modular design. This segmentation reduces circuit complexity while maintaining high processing speed through parallel pipeline execution.
Solution Approach 2:
The circuit employs dynamic control signals to enable different operational modes (multiply-scan, multiply, scan) in different pipeline stages. This dynamic behavior allows the same hardware structure to perform multiple functions, reducing overall device complexity while maintaining high productivity for the primary multiply-scan operation.
3Productivity
If a pipelined circuit processes inputs through multiple stages, then processing capacity increases, but latency for individual operations increases
Solution Approach 1:
The pipeline circuit operates with periodic clock cycles, advancing data through stages at regular intervals. This periodic action creates a steady throughput where one result is produced per clock cycle after the pipeline is full, balancing the trade-off between throughput and latency by maintaining a continuous flow of computations.
Solution Approach 2:
The pipeline structure performs preliminary processing in early stages (such as left-shifting operations) while subsequent stages handle addition and final computation. This preliminary action in parallel pipeline stages reduces the critical path delay for individual operations while maintaining high throughput through continuous pipeline execution.
Data Source
AI summary
A pipelined multiply-scan circuit that may be used for high-performance computing. The pipelined multiply-scan circuit may comprise dedicated hardware configured to execute one or more sub-calculations associated with a pipelined multiply-scan process utilizing one or more serially-connected left-shift modules, and one or more serially-connected adder.


