This work is devoted for the design and FPGA implementation of a 16bit Arithmetic module, which uses Vedic Mathematics algorithms. For arithmetic multiplication various Vedic multiplication techniques like Urdhva Tiryakbhyam Nikhilam and Anurupye has been thoroughly analyzed. Also Karatsuba algorithm for multiplication has been discussed. It has been found that Urdhva Tiryakbhyam Sutra is most ...

We use presentations and identities among relations to give a generalisation of the Schreier theory of nonabelian extensions of groups. This replaces the usual multiplication table for the extension group by more efficient, and often geometric, data. The methods utilise crossed modules and crossed resolutions.

In this paper, we propose an efficient design of a reversible single precision floating point multiplier based on compressor. The single precision floating point multiplier requires the design of an efficient 24x24 bit integer multiplier. In the proposed architecture, the 24x24 bit multiplication operation is fragmented to nine parallel reversible 8x8 bit multiplication modules. In this paper, ...

This paper explains the design and implementation of 8-bit ALU (arithmetic and logic unit) using VHDL by using mixed style of modeling in Xilinx ISE 8.1i. The ALU takes two8-bits numbers and performs different principal arithmetic and logic operations like addition, multiplication, logical AND, OR, XOR, XNOR, NOR. The major focus of concern in this ALU is the multiplication operation using radi...

the concepts of free modules, projective modules, injective modules and the likeform an important area in module theory. the notion of free fuzzy modules was introducedby muganda as an extension of free modules in the fuzzy context. zahedi and ameriintroduced the concept of projective and injective l-modules. in this paper we give analternate definition for projective l-modules. we prove that e...

an r-module m is called strongly noncosingular if it has no nonzero rad-small (cosingular) homomorphic image in the sense of harada. it is proven that (1) an r-module m is strongly noncosingular if and only if m is coatomic and noncosingular; (2) a right perfect ring r is artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingula...

A family of frequency synthesizers is described. Each member of the family generates one of many equally-spaced frequencies by utilizing identical modules, the number of which is related to the number of possible frequencies. For any design in the family which uses frequency division in the modules, there exists a dual design which utilizes frequency multiplication. Block diagrams and formulas ...