This paper describes a semi-dynamic CMOS flip-flop family featuring embedded Threshold Logic functions. First, we describe the new Threshold Logic flipflop concept and circuit operation. Second, we present the concepts of embedded Threshold logic and run-time reprogrammability. Finally, it is proved by Spice simulation results that wide (up to 8 inputs) AND/OR Boolean functions can be embedded ...

This paper scans a large class of one-parameter families of elliptic curves for efficient arithmetic. The construction of the class is inspired by toric geometry, which provides a natural framework for the study of various forms of elliptic curves. The class both encompasses many prominent known forms and includes thousands of new forms. A powerful algorithm is described that automatically comp...

A geometrical construction of the transcomplex numbers was given elsewhere. Here we simplify the transcomplex plane and construct the set of transcomplex numbers from the set of complex numbers. Thus transcomplex numbers and their arithmetic arise as consequences of their construction, not by an axiomatic development. This simplifies transcomplex arithmetic, compared to the previous treatment, ...

We present a phase space analysis to explore the potential of single neuron local arithmetic operations on its input conductances. This analysis was conducted first by deriving a rational function model of local spatial summation by using the equivalent circuits for steady-state membrane potentials. It is shown that developed functional phases exist in the space of input conductances, where a s...

Addition is a fundamental arithmetic operation which is used in different applications such as digital signal processing (DSP) and microprocessors. Single bit adder is the main component of any arithmetic circuit. This paper presents the design of new split-path Data Driven Dynamic (sp-D3L) full adder circuit. Power consumption of proposed adder varies from 0.584 nW to 2.914 nW with variation i...

Residue number systems (RNS) are non-weighted systems that allow to perform addition, subtraction and multiplication operations concurrently and independently on each residue. The triple moduli set f22 1, 2, 2þ 1g and its respective extensions have gained unprecedent importance in RNS, mainly because of the simplicity of the arithmetic units for the individual channels and also of the converter...

Most existing implementations ofmultiple precision arithmetic demand that the user sets the precision a priori. Some libraries are said adaptable in the sense that they dynamically change the precision of each intermediate operation individually to deliver the target accuracy according to the actual inputs. We present in this text a new adaptable numeric core inspired both from floating point e...

Recent imaging studies have found that in simple arithmetic processing, addition is lateralized to the right hemisphere, whereas multiplication to the left. Here we aimed to investigate the cognitive mechanism underlying complicated arithmetic processing with a dual task paradigm. Participants were asked to complete a calculation task (addition or multiplication) and a letter judgment task (rhy...

Some arithmetic procedures, such as addition of small numbers, rely on fact retrieval mechanisms supported by left hemisphere perisylvian language areas, while others, such as subtraction, rely on procedural-based mechanisms subserved by bilateral parietal cortices. Previous work suggests that developmental dyslexia, a reading disability, is accompanied by subtle deficits in retrieval-based ari...

Using a dual-serial-arithmetic paradigm, we examined whether a capacity limitation constrains the neural activation that underlies dual-task performance. Six conditions were run in the experiment (the baseline, single-addition, single-subtraction, dual-addition, dual-subtraction, and the dual-operation condition). In the baseline condition, participants were asked to remember the initial pair o...