About Number Base Converter
Convert numbers between decimal (base 10), binary (base 2), octal (base 8), and hexadecimal (base 16). Shows bit length, byte size, and supports grouped digit display for readability.
Frequently Asked Questions
Why do programmers use hexadecimal?
Hex is compact and aligns well with binary (4 bits = 1 hex digit). It is used for colors (#FF0000), memory addresses, and byte representations. Easier to read than long binary strings.
What are common number base prefixes?
In most languages: 0b for binary (0b1010), 0o for octal (0o12), 0x for hex (0x0A). These help distinguish number bases in code.
How do I convert mentally between hex and binary?
Each hex digit maps to 4 binary digits: 0=0000, 1=0001, ..., 9=1001, A=1010, B=1011, ..., F=1111. Convert each digit separately and concatenate.
What are number bases?
Number bases (or radix) define how many unique digits are used. Decimal uses 0-9 (base 10), binary uses 0-1 (base 2), octal uses 0-7 (base 8), and hexadecimal uses 0-9 and A-F (base 16).
How do I convert binary to decimal?
Each binary digit represents a power of 2. For example, 1010 = 1x8 + 0x4 + 1x2 + 0x1 = 10 in decimal. This tool does this conversion instantly.
What is the 0x prefix?
The 0x prefix indicates a hexadecimal number in most programming languages. Similarly, 0b indicates binary and 0o indicates octal.