What kind of math do computer programmers use?

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  • Add
  • Subtract
  • Multiply
  • Divsion
  • Modulo (%) <- very related to division
  • Power/Exponent (pow)
  • Absolute numbers (abs)
  • Rounding off (roundf)
  • Rounding up (ceil)
  • Rounding down (floor)
  • Pyth. Thm. (a^2 + b^2 = c^2)
  • Floating point arithmetic (how floating points works)
  • Arithmetic sequence (1, 2, 3, …)
  • Geometric sequence (1^2, 2^2, 3^2, …)
  • How to do a sum of numbers (for loop/arithmetic sequence)
  • Binary numbers
  • Hexadecimal numbers
  • Octal numbers
  • Factorial
  • Functions
  • Recursive Functions(e.g. Fibonacci sequence, Factorial of a number)
  • Maximum value/Upper limit/lower limit of certain bytes of integer (32-bits vs 64-bits)
  • Floating point exceptions (Epsilon, Division by 0, Infinity)
  • Square Root (sqrt/pow(x, 1/2))
  • String (actually, a set of 8-bits numbers)
  • Set
  • Hash function
  • Tables (e.g. Division Table, Log Table)
  • Signedness (e.g. +123, -123)
  • Comparing numbers
  • Bit manipulation (And, Or, Xor, Not, Xnor, Neg, Nand, Nor, Left Shift, Right Shift)
  • Boolean arithmetic (True or False)
  • Logic arithmetic (&&, ||, ==)
  • Geometry (Hyperplane, points at infinity, etc…)
  • Trigonometry (sin, cos, tan, asin, atan2, etc…)
  • Vector (Cartesian)
  • Matrix (Not the movie)
  • Quaternions
  • Graph Theory
  • Number Theory
  • If possible, Calculus