Conversion Results:
Binary (Base 2): -
Decimal (Base 10): -
Hexadecimal (Base 16): -
Octal (Base 8): -
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Convert Between Binary, Decimal, Hex & Octal
Understanding Number Base Systems
Number base systems are different ways to represent numerical values. Our everyday decimal system (base 10) uses ten digits (0-9), while binary (base 2) uses two digits (0-1), hexadecimal (base 16) uses sixteen symbols (0-9, A-F), and octal (base 8) uses eight digits (0-7).
Common Uses of Different Number Bases
- Binary: Fundamental to computer systems and digital electronics
- Decimal: Everyday counting system used by humans worldwide
- Hexadecimal: Compact representation of binary values in programming and web design
- Octal: Less common today but historically important in computing systems
Frequently Asked Questions
Why is hexadecimal used in computing?
Hexadecimal provides a more human-friendly representation of binary-coded values. Since each hexadecimal digit represents exactly four binary digits (bits), it's easier to work with than long strings of 1s and 0s.
How do I convert binary to decimal manually?
To convert binary to decimal, multiply each digit by 2 raised to its position power (starting from 0 on the right), then sum the results. For example, binary 1010 equals (1×2³) + (0×2²) + (1×2¹) + (0×2⁰) = 8 + 0 + 2 + 0 = 10 in decimal.
What is the maximum value for an 8-bit binary number?
An 8-bit binary number can represent values from 0 to 255. The maximum value is 11111111 in binary, which equals 255 in decimal and FF in hexadecimal.
Why would I need to convert between number bases?
Number base conversion is essential in programming, networking, digital electronics, and computer science. Understanding different bases helps with tasks like IP addressing, color coding in web design, memory addressing, and low-level programming.
