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    <title>octal on Ciência Programada</title>
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      <title>Computer Arithmetic: Addition and Subtraction in Binary, Octal, and Hexadecimal</title>
      <link>https://cienciaprogramada.com/2026/03/arithmetic-operations-number-bases/</link>
      <pubDate>Wed, 25 Mar 2026 00:00:00 +0000</pubDate>
      <author>contato[@]cienciaprogramada.com.br (Francisco Bustamante)</author>
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      <description>The addition and subtraction rules of base 10 hold in any base: only the value that triggers the carry changes. We do arithmetic in binary, octal, and hexadecimal, see why with three addends the carry can be worth 2, and implement both algorithms in Python.</description>
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      <title>Number Bases and Integer Conversion: The Complete Guide</title>
      <link>https://cienciaprogramada.com/2026/03/integer-bases-conversions/</link>
      <pubDate>Mon, 23 Mar 2026 00:00:00 +0000</pubDate>
      <author>contato[@]cienciaprogramada.com.br (Francisco Bustamante)</author>
      <guid>https://cienciaprogramada.com/2026/03/integer-bases-conversions/</guid>
      <description>In any base, the value of the base itself is written 10. We start from positional notation to convert integers between decimal, binary, octal, and hexadecimal, using expansion, successive divisions, bit grouping, and Python&amp;rsquo;s bin, oct, hex, and int functions.</description>
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