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Published on Sep 16, 2019

Abstract

A fast and energy-efficient floating point unit is always needed in electronics industry especially in DSP, image processing and as arithmetic unit in microprocessors. Many numerically intensive applications require rapid execution of arithmetic operations.

Arithmetic circuits form an important class of circuits in digital systems. With the remarkable progress in the very large scale integration (VLSI) circuit technology, many complex circuits, unthinkable yesterday have become easily realizable today.

Algorithms that seemed impossible to implement now have attractive implementation possibilities for the future. This means that not only the conventional computer arithmetic methods, but also the unconventional ones are worth investigation in new designs.

We present the design of an IEEE 754 single precision floating point multiplier. VHDL is used to implement this design.

Floating point numbers are one possible way of representing real numbers in binary format; the IEEE 754 standard presents two different floating point formats, Binary interchange format and Decimal interchange format.

Multiplying floating point numbers is a critical requirement for applications involving large dynamic range. In this project we focus on single precision normalized binary interchange format.

The multiplier design handles the overflow and underflow cases. Rounding is not implemented to give more precision when using the multiplier in a Multiply and Accumulate (MAC) unit

LANGUAGE USED:

VHDL

TOOLS REQUIRED:

Simulation: modelsim5.8c

Synthesis: Xilinx 9.1





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