Author:
Ch.Pallavi, C.RajaniPublished in
Journal of Science Technology and Research( Volume , Issue )
Comparative Analysis of 16-Bit Booth
Multipliers play a key role in digital signal processing (DSP) and many modern computing applications. As technology advances, the need for fast, power-efficient, and compact multipliers grows. The Booth multiplier offers an efficient solution for both signed and unsigned number operations using a single hardware unit.This paper compares radix-4 and radix-8 Booth multipliers. Radix-4 reduces the number of partial products to about n/2, while radix-8 reduces it further to n/3. This reduction helps simplify the Carry Save Adder (CSA) tree, speeding up multiplication.A Carry Look Ahead Adder (CLA) is used in the final stage to improve the overall speed. Comparative Analysis of 16-Bit Booth setup reduces power consumption, hardware usage, and chip area. It also lowers complexity, which is important in modern VLSI design.
Comparative Analysis of 16-Bit Booth
Multiplication is one of the most used operations in digital systems. It appears in DSP, image processing, computer vision, and embedded systems. System performance often depends on how fast and efficient the multiplier is.Simple multiplication, which adds a number repeatedly, needs more hardware and works slowly. To improve this, researchers have developed better architectures over the years. One such design is the Booth multiplier. It supports both signed and unsigned multiplication with one hardware unit, which saves space and power.The Booth encoding method lowers the number of partial products. A radix-4 Booth multiplier brings the count down to n/2. A radix-8 Booth multiplier goes further, reducing it to n/3. With fewer partial products, the design becomes faster and simpler.A Carry Save Adder (CSA) adds these products quickly. The final result uses a Carry Look Ahead Adder (CLA) for faster output. This paper compares 16-bit radix-4 and radix-8 Booth multipliers. It focuses on delay, speed, and hardware efficiency in modern VLSI systems.
