Octal Mathlib‐cpp

Octal Number Conversion and Operations

Written by: Raj Ojha

This C++ namespace mlb provides a set of functions for working with octal numbers. Octal numbers are base-8 numbers, often represented with digits 0-7. These functions allow you to perform various operations, including conversion between decimal and octal, addition, subtraction, multiplication, and division of octal numbers. This file use following header files:

• cmath
• string
• bitset
• sstream
• stdexcept

Functions

string decimalToOctal(int &decimalNumber)

This function converts a decimal number to its octal representation.

Example:

int decimal = 42;
string octal = mlb::decimalToOctal(decimal);

int octalToDecimal(string& octal)

This function converts an octal number (as a string) to its decimal representation.

Example:

string octal = "52";
int decimal = mlb::octalToDecimal(octal);

string octalAddition(string& octal1, string& octal2)

This function adds two octal numbers and returns the result as an octal string.

Example:

string octal1 = "42";
string octal2 = "17";
string sum = mlb::octalAddition(octal1, octal2);

string octalSubtraction(string& octal1, string& octal2)

This function subtracts one octal number from another and returns the result as an octal string.

Example:

string octal1 = "64";
string octal2 = "17";
string difference = mlb::octalSubtraction(octal1, octal2);

string octalMultiplication(string& octal1, string& octal2)

This function multiplies two octal numbers and returns the result as an octal string.

Example:

string octal1 = "52";
string octal2 = "25";
string product = mlb::octalMultiplication(octal1, octal2);

string octalDivision(string& octal1, string& octal2)

This function divides one octal number by another (integer division) and returns the quotient as an octal string.

Example:

string octal1 = "100";
string octal2 = "20";
string quotient = mlb::octalDivision(octal1, octal2);

string octalAddition(int& decimal1, int& decimal2)

This overload of the addition function allows you to add two decimal numbers and returns the result as an octal string.

Example:

int decimal1 = 42;
int decimal2 = 17;
string sum = mlb::octalAddition(decimal1, decimal2);

string octalSubtraction(int& decimal1, int& decimal2)

This overload of the subtraction function allows you to subtract one decimal number from another and returns the result as an octal string.

Example:

cpp
int decimal1 = 64;
int decimal2 = 17;
string difference = mlb::octalSubtraction(decimal1, decimal2);

string octalMultiplication(int& decimal1, int& decimal2)

This overload of the multiplication function allows you to multiply two decimal numbers and returns the result as an octal string.

Example:

cpp
int decimal1 = 52;
int decimal2 = 25;
string product = mlb::octalMultiplication(decimal1, decimal2);

string octalDivision(int& decimal1, int& decimal2)

This overload of the division function allows you to divide one decimal number by another (integer division) and returns the quotient as an octal string.

** Example:**

cpp
int decimal1 = 100;
int decimal2 = 20;
string quotient = mlb::octalDivision(decimal1, decimal2);

Note: These functions provide a convenient way to work with octal numbers in C++. Ensure that the input values are valid octal or decimal representations as needed. Division by zero is also handled with an exception in the octalDivision functions.