Number Base Converter | Binary, Dec, Hex & Octal Calculator

Binary, Octal, Decimal & Hexadecimal

Number Base Converter & Calculator

Convert and calculate across bases with complete positional expansion and repeated division (LCM method) step-by-step solutions.

Select Input Base

Enter Value

Select Calculation Base

First Number

Operation

Second Number

Conversions

Complete Solved Method

Understanding Number Base Systems

In computer science and digital electronics, different base systems represent data through specific mathematical methods:

Base to Decimal (Positional Expansion): Multiply each digit by powers of the base ($d_n \times B^n$) and sum the results.
Decimal to Base (Repeated Division / LCM Method): Continuously divide the decimal quotient by the target base and collect remainders from bottom to top.

Solving Equations and Advanced Math

Converting between bases helps simplify digital logic and machine instructions. For polynomial equations and root computations, solve step-by-step using our Quadratic Equation Calculator.

Ethan Richardson

Ethan Richardson is an Educational Content Editor with more than 10 years of experience reviewing and developing educational materials for young learners. His expertise includes improving worksheet accuracy, readability, and instructional quality while ensuring learning resources meet modern educational standards.