Number system conversion is the foundation of modern computing and digital electronics. At Scalar, we designed this converter to provide instant precision for engineers and programmers.
Simply type in any field, and all others will be calculated in real-time.
Understanding Number Bases
Each numbering system is defined by its base, which determines the number of available symbols:
- Decimal (Base 10): The standard everyday system (0-9).
- Binary (Base 2): The language of processors (0 and 1).
- Hexadecimal (Base 16): Used in CSS colors and memory (0-F).
- Octal (Base 8): Common in Unix permissions.
How to convert manually? (View Theory and Examples)
Successive Division Method
To convert a decimal number to binary manually:
- Divide the decimal number by 2.
- Note the remainder (0 or 1).
- Use the quotient for the next division.
- Repeat until the quotient is zero.
- Read the remainders from bottom to top.
Practical Example: Converting 13 to Binary
- 13 ÷ 2 = 6 (remainder 1)
- 6 ÷ 2 = 3 (remainder 0)
- 3 ÷ 2 = 1 (remainder 1)
- 1 ÷ 2 = 0 (remainder 1)
- Final Result: 1101
Why use Scalar?
In complex systems, manual conversion is error-prone. Scalar ensures data integrity, facilitating software debugging and logic circuit design without the need for repetitive manual calculations.