In computing and electronic systems, binary-coded decimal (BCD) is an encoding for decimal numbers in which each digit is represented by its own binary sequence. Its main virtue is that it allows easy conversion to decimal digits for printing or display and faster decimal calculations. Its drawbacks are the increased complexity of circuits needed to implement mathematical operations and a relat...

Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability to succeed in many professions. Unfortunately, these capabilities pose large difficulties formany children and adults, and students’ proficiency in them has shown little sign of improvement over the past three decades. To summarize what is known about fraction and decimal arithmetic and to stimulate gr...

in this paper, we consider a class of column-weight two quasi-cyclic low-density paritycheck codes in which the girth can be large enough, as an arbitrary multiple of 8. then we devote a convolutional form to these codes, such that their generator matrix can be obtained by elementary row and column operations on the parity-check matrix. finally, we show that the free distance of the convolution...

It is shown that the set of decimal palindromes is an additive basis for the natural numbers. Specifically, we prove that every natural number can be expressed as the sum of forty-nine (possibly zero) decimal palindromes. 1. Statement of Result Let N ..= {0, 1, 2, . . .} denote the set of natural numbers (including zero). Every number n 2 N has a unique decimal representation of the form

As a statistical reviewer for Archives and BMJ I am interested in the presentation of numerical data. It concerns me that numbers are often reported to excessive precision, because too many digits can swamp the reader, overcomplicate the story and obscure the message. A number’s precision relates to its decimal places or significant figures (or as preferred here, significant digits). The number...

Introduction. The question of radix conversion of variable-precision binary numbers arises naturally in the context of unnormalized number representation [1], but may be of interest in other situations where it is desired to have number representations carry a reflection of significance. The present paper discusses a method for binary-decimal conversion of unnormalized numbers; this method diff...

E v e n though decimal ar i thmet ic i s pervasive in financial and commercial transactions, computers are s td l implement ing almost all arithmetic calculations using binary ar i thmet ic . A s chip real estate becomes cheaper it i s becoming likely tha t more computer m a n ufacturers will provide processors wi th decimal arithme t i c engines. Programming languages and databases are expandi...

Hardware implementation of decimal floating-point arithmetic is a topic of great interest among the researchers in computer arithmetic and also the digital processor industry. Software packages for decimal arithmetic are actually being challenged by decimal hardware units. This spreading trend seems to include hardware implementation of elementary functions. The (Coordinate Rotation Digital Com...