GET THE APP

An Introduction to the Number System
..

Physical Mathematics

ISSN: 2090-0902

Open Access

Editorial - (2022) Volume 13, Issue 2

An Introduction to the Number System

Bennett Brown*
*Correspondence: Bennett Brown, Department of Physics, University of South Florida, Florida, Tampa, USA, Email:
Department of Physics, University of South Florida, Florida, Tampa, USA

Received: 05-Feb-2022, Manuscript No. jpm-22-56395; Editor assigned: 07-Feb-2022, Pre QC No. P-56395; Reviewed: 15-Feb-2022, QC No. Q-56395; Revised: 20-Feb-2022, Manuscript No. R-56395; Published: 25-Feb-2022 , DOI: 10.37421/2090-0902.22.13.359
Citation: Brown, Bennett. “An Introduction to the Number System.” J Phys Math 13 (2022): 359.
Copyright: © 2022 Brown B. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Editorial

A number framework is a collection of words that are used to communicate numerical data. It is the numerical documentation that uses numbers or other images to address amounts of a certain collection in a predictable manner. It handles the figures' number crunching and logarithmic design by depicting each number in a unique way. It also allows us to concentrate on mathematical issues such as division, deduction, and choosing. The digit, its position in the number, the number framework's base, and the types of number systems may all impact how a digit in a number is estimated. The four most prevalent number framework kinds are as follows: To begin with, there is the decimal number system, which creates numbers with 10 digits, such as 0-9, for example.

As a result of 10 separate pressures, each digit in the number is positioned in a specific spot. From left to right, the point esteem is designated as units, then tens, hundreds, thousands, and so on. A spot reward of 100 is assigned to units, tens to tens, hundreds to hundreds, thousands to thousands, and so on. The binary number framework, or paired number system, is a number system with a base value of two. It creates two-digit numbers, such as 0 and 1. Binary numbers are numbers that have these two digits as their frame. 

Because it can be simply implemented using only two states: ON and OFF (for example, 0 and 1), the paired number framework is particularly helpful in electronic devices and computer systems. 0, 1, 10, 11, 100, 101, 110, 111, 1000, and 1001 are the decimal numerals 0 through 9. Then there's the octal number system, which has an eight-digit base value. It employs 8 digits, such as 0-7, to generate Octal Numbers. By repeating each digit with the spot value and then adding the result, octal numbers may be transformed to decimal numbers. Here are the spot values: 80, 81, and 82. UTF8 numbers can be shown using octal numbers.

Finally, there is the Hexadecimal Number System, which is a 16-character number system. It generates numbers with a total of 16 digits. The numerals 10-15 are addressed as A-F, with the numbers 0-9 being treated as they are in the decimal number system. For example, 10 is addressed as A, 11 is addressed as B, 12 is addressed as C, 13 is addressed as D, 14 is addressed as E, and 15 is addressed as F. Hexadecimal numerals are quite handy when dealing with memory address spaces. The most extensively used number system is the decimal positional numeral framework, with decimal referring to the usage of 10 pictures to generate all numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9). This was an Indian innovation that was finished by Islam in the middle Ages [1-5].

References

  1. Johannes, J. D., C. Dennis Pegden and F. E. Petry. "Decimal shifting for an exact floating point representation." Comp Elec Eng 7 (1980): 149-155.
  2. Google Scholar, Crossref

  3. Petry, F. E. "Two's complement extension of a parallel binary division by ten." Elect  Lett 19 (1983): 718-720.
  4. Google Scholar, Crossref

  5. Matula, David W. "A formalization of floating-point numeric base conversion." IEEE Tran Comp 100 (1970): 681-692.
  6. Google Scholar, Crossref

  7. Brent, Richard P. "On the precision attainable with various floating-point number systems." In 1972 IEEE 2nd Symposium on Computer Arithmetic (ARITH), (1972): 1-29.
  8. Google Scholar, Crossref

  9. Fenwick, Peter M. "A binary representation for decimal numbers."Aus Comp J 4 (1972): 146-149.
  10. Google Scholar

arrow_upward arrow_upward