algorithms on Ciência Programada https://cienciaprogramada.com/tags/algorithms/ Recent content in algorithms on Ciência Programada Hugo -- gohugo.io en contato[@]cienciaprogramada.com.br (Francisco Bustamante) contato[@]cienciaprogramada.com.br (Francisco Bustamante) © 2026 Francisco Bustamante Fri, 27 Mar 2026 00:00:00 +0000 How the Computer Subtracts by Adding: Two's Complement and Overflow https://cienciaprogramada.com/2026/03/twos-complement-overflow/ Fri, 27 Mar 2026 00:00:00 +0000 contato[@]cienciaprogramada.com.br (Francisco Bustamante) https://cienciaprogramada.com/2026/03/twos-complement-overflow/ To subtract, the processor adds the first number to the complement of the second, so a single adder does both operations. We will see two’s complement, why 8 signed bits range from -128 to +127, and how overflow took down the Ariane 5 and froze Pac-Man on level 256. Computer Arithmetic: Addition and Subtraction in Binary, Octal, and Hexadecimal https://cienciaprogramada.com/2026/03/arithmetic-operations-number-bases/ Wed, 25 Mar 2026 00:00:00 +0000 contato[@]cienciaprogramada.com.br (Francisco Bustamante) https://cienciaprogramada.com/2026/03/arithmetic-operations-number-bases/ 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.