Decimal multiplication is important in many commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This paper presents two novel designs for fixed-point decimal multiplication that utilize decimal carry-save addition to reduce the critical path delay. First, a multiplier that stores a reduced number of multiplicand multipl...

Interval methods offer quite new research aspects regarding Digital Signal Processing. In scenarios like finite numeric representation, limited precision sensors or the quantization process, signal processing has been practicing interval mathematics as quite a reliable gizmo for expressing the uncertainties. Some types of control systems like estimating or soft computing systems, the uncertaint...

Multiplication and division in the absence of a hardware multiplier require many instruction cycles, especially in C. This report discusses a method that does not need a hardware multiplier and can perform multiplication and division with only shift and add instructions. The method described in this application report is based on Horner’s method. The MSP430 microcontroller CPU can perform a reg...

In this paper we proposed a three stage pipelined finite-impulse response (FIR) filter, this FIR filter contains multipliers such as Hybrid multiplier, Booth multiplier algorithm and Array multiplier. In general, multiplication process consists of two parts as multiplicand and multiplier. According to the array multiplier, the numbers of partial products (PP) are equal to the number of bits in ...

Multipliers of reproducing kernel Hilbert spaces can be characterized in terms positivity $n \times n$ matrices analogous to the classical Pick matrix. We study for which it suffices consider bounded size $n$. connect this problem notion subhomogeneity non-selfadjoint operator algebras. Our main results show that multiplier algebras many analytic functions, such as Dirichlet space and Drury-Arv...

In this paper we describe Cryptography by using Karatsuba multipliers and ASCII codes implementing through coordinate geometry for data encryption and decryption with its code in matlab. Elliptic curve cryptography is an asymmetric key cryptography. It includes (i) public key generation on the elliptic curve and its declaration for data encryption and (ii) private key generation and its use in ...

An efficient Lookup Table (LUT) design for memory-based multiplier is proposed.  This multiplier can be preferred in DSP computation where one of the inputs, which is filter coefficient to the multiplier, is fixed. In this design, all possible product terms of input multiplicand with the fixed coefficient are stored directly in memory. In contrast to an earlier proposition Odd Multiple Storage ...

This paper describes a hardware implementation of an arithmetic processor which is efficient for bit-lengths suitable for both commonly used types of Public Key Cryptography (PKC), i.e., Elliptic Curve (EC) and RSA Cryptosystems. Montgomery modular multiplication in a systolic array architecture is used for modular multiplication. The processor consists of special operational blocks for Montgom...