Hardware multiplier is a critical element in many computing intensive sub-systems that are implemented in Field Programmable Gate Arrays (FPGAs). In this study, performance comparison between several different types of array-based unsigned 8-bit multipliers (both combinational and pipelined) for two types of FPGAs (XC4005XLPC84-3C and XC3S1000FT256-4C Spartan 3) in terms of resource utilization...

‎In this paper, using the idea of convexificators, we study boundedness and nonemptiness of Lagrange multipliers satisfying the first order necessary conditions. We consider a class of nons- mooth fractional programming problems with equality, inequality constraints and an arbitrary set constraint. Within this context, define generalized Mangasarian-Fromovitz constraint qualification and sh...

In recent year, power dissipation is one of the biggest challenges in VLSI design. Multipliers are the main sources of power dissipation in DSP blocks. In this project various types of full adders design are performed. Different techniques are used for low power in full adders. The design and power comparison of the low power multiplier using different types of full adder adders units are analy...

Karatsuba algorithm (KA) is popularly used for high-precision multiplication by a divide-and-conquer approach. Recently, subquadratic digit-serial multiplier based on (a, 2)way KA decomposition is proposed in [1]. In this paper, we extend a (a, 2)-way KA to derive a generalized (a, b)-way KA decomposition with a 6= b. We have shown that (a, 2)-way KA and mult-way KA are special cases of the pro...

Formal verification of integer multipliers was an open problem for a long time as the size of any reduced ordered binary decision diagram (BDD) [1] which represents integer multiplication is exponential in the width of the operands [2]. In 1995, Bryant and Chen [4] introduced multiplicative binary moment diagrams (*BMD) which is a canonical data structure for pseudo Boolean functions allowing a...

Local oscillator sources based on frequency multipliers appear to be the best developed of several types of sources needed for astronomical missions from airborne and space platforms. These applications extend well into the submillimeter range, potentially up to 2.7 THz for FIRST, and similar frequencies for SOFIA receiver systems. A new generation of frequency multipliers is needed for the FIR...