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Published on Nov 30, 2023

Abstract

The binary adder is the critical element in most digital circuit designs including digital signal processors (DSP) and microprocessor datapath units. As such, extensive research continues to be focused on improving the powerdelay performance of the adder. In VLSI implementations, parallel-prefix adders are known to have the best performance.

Parallel-prefix adders (also known as carry-tree adders) are known to have the best performance in VLSI designs. However, this performance advantage does not translate directly into FPGA implementations due to constraints on logic block configurations and routing overhead.

This paper investigates three types of carry-tree adders (the Kogge-Stone, sparse Kogge-Stone, and spanning tree adder) and compares them to the simple Ripple Carry Adder (RCA) and Carry Skip Adder (CSA).

These designs of varied bit-widths were implemented on a Xilinx Spartan 3E FPGA and delay measurements were made with a high-performance logic analyzer. Due to the presence of a fast carry-chain, the RCA designs exhibit better delay performance up to 128 bits. The carry-tree adders are expected to have a speed advantage over the RCA as bit widths approach 256.

In this project for simulation we use Modelsim for logical verification, and further synthesizing it on Xilinx-ISE tool using target technology and performing placing & routing operation for system verification on targeted FPGA

LANGUAGE USED:

VHDL

TOOLS REQUIRED:

Simulation: modelsim5.8c

Synthesis: Xilinx 9.1