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Number Systems Solver

Understanding Number Systems

Different number systems use different bases to represent numbers. We commonly use:

Decimal (Base-10): Uses digits 0-9. This is the system we use in everyday life.
Binary (Base-2): Uses digits 0 and 1. Fundamental for computers. Example: $1011_2$.
Octal (Base-8): Uses digits 0-7. Sometimes used in computing. Example: $27_8$.
Hexadecimal (Base-16): Uses digits 0-9 and letters A-F (where A=10, B=11, ..., F=15). Widely used in computing for brevity. Example: $A5_{16}$.

Binary (Base-2) Operations

Recognise Binary Number

Enter number to check:

Result:

Convert Binary to Decimal

Binary Number:

Step-by-step Solution:

Convert Decimal to Binary

Decimal Number:

Step-by-step Solution:

Add Binary Numbers

First Binary Number: Second Binary Number:

Step-by-step Solution:

Octal (Base-8) Operations

Recognise Octal Number

Enter number to check:

Result:

Convert Octal to Decimal

Octal Number:

Step-by-step Solution:

Convert Decimal to Octal

Decimal Number:

Step-by-step Solution:

Convert Decimal to Binary via Octal

Decimal Number:

Step-by-step Solution:

Convert Binary to Decimal via Octal

Binary Number:

Step-by-step Solution:

Hexadecimal (Base-16) Operations

Recognise Hexadecimal Number

Enter number to check:

Result:

Convert Hexadecimal to Decimal

Hexadecimal Number:

Step-by-step Solution:

Convert Decimal to Hexadecimal

Decimal Number:

Step-by-step Solution:

Convert Binary to Hexadecimal

Binary Number:

Step-by-step Solution:

Convert Hexadecimal to Binary

Hexadecimal Number:

Step-by-step Solution:

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