These lecture notes will develop the method of binary decision diagrams – a technique for representing Boolean functions – from automata theory. We include a compact presentation of automata theory required for the purpose, and indicate applications.

This presentation reviews the role that binaries play in the production of Barium, CH, and S stars. New radial velocity observations connrming the binary nature of subgiant CH stars are also discussed. Perhaps the most important part of the presentation is evidence that the early R-type carbon stars exhibit no binaries. It is suggested that they were once all binaries, but having small separati...

We present an algorithmic analog-to-digital converter (ADC) architecture for large-scale parallel quantization of internally analog variables in externally digital array processors. The converter quantizes and accumulates a binary weighted sequence of partial binary-binary matrix-vector products computed on the analog array, under presentation of bit-serial inputs in descending binary order. Th...

The presentation illustrates two quadratic sorting algorithms: Selectionsort and Insertionsort. Before this lecture, students should know about arrays, and should have seen some motivation for sorting (such as binary search of a sorted array). ❐ Chapter 13 presents several common algorithms for sorting an array of integers. ❐ Two slow but simple algorithms are Selectionsort and Insertionsort. ❐...

The notion of ’presentation’, as used in combinatorial group theory, is applied to coded character sets(CCSs) − sets which facilitate the interchange of messages in a digital computer network(DCN) . By grouping each element of the set into two portions and using the idea of group presentation( whereby a group is specified by its set of generators and its set of relators) , the presentation of a...

A large class of monads used to model computational effects have natural presentations by operations and equations, for example, the list monad can be presented a constant binary operation subject unitality associativity. Graded are generalization that enable us track quantitative information about being modelled. Correspondingly, graded using an existing notion presentation. However, has some ...

In this paper, a new method is introduced for improving the efficiency of the Residue Number System, which uses both binary and residue representations in order to represent a number. A residue number system uses the remainder of the division in several different modules. Conversion of a number to smaller ones and carrying out parallel calculations on these numbers greatly increase the speed of...