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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2018.tde-31072018-090732
Document
Author
Full name
Julis Leonan Salviato
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2018
Supervisor
Committee
Frasson, Miguel Vinicius Santini (President)
Barbosa, Grazielle Feliciani
Nicola, Selma Helena de Jesus
Rodrigues, Esther de Almeida Prado
Title in Portuguese
Sistema de numeração binário: dos computadores à sala de aula
Keywords in Portuguese
Bases numéricas
Operações básicas
Operações na base 2
Sistema binário
Abstract in Portuguese
O objetivo deste trabalho é mostrar que variados cálculos tornam-se mais fáceis de ser efetuados realizando operações com números escritos na base dois, com o pressuposto de que se esteja habituado a números nessa base, promovendo um aprofundamento na compreensão das bases e das propriedades utilizadas nas operações. Retomaremos alguns dos principais sistemas de numeração e apresentamos os cálculos de adições, subtrações, multiplicações e divisões com números escritos na base binária. Resgataremos também um antigo, porém eficiente, algoritmo para a extração de raízes quadradas.
Title in English
Binary numbering system: from computers to classroom
Keywords in English
Basic operations
Binary system
Numerical bases
Operations on base 2
Abstract in English
The purpose of this work is to show that various calculations become easier to perform by performing operations with numbers written in base two, with the assumption that one is accustomed to numbers in this base, promoting a deeper understanding of the bases and properties used for these operations. We will return to some of the major numbering systems and present the calculations of sums, subtractions, multiplications, and divisions with numbers written on the binary basis. We will also rescue an old but efficient algorithm for the extraction of square roots.
 
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Publishing Date
2018-07-31
 
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