Binary Converter
Convert numbers between binary, decimal, hexadecimal, and octal formats instantly.
Binary, Decimal, Hexadecimal, and Octal Explained
A Binary Converter translates numbers between common computer number systems: decimal, binary, hexadecimal, and octal. These formats are important in programming, networking, digital electronics, memory addressing, permissions, color values, and low-level data representation.
Humans normally use decimal because it has ten digits, but computers work with binary because electronic states are easiest to represent as on and off. Hexadecimal and octal are shorter ways to display binary patterns in a more readable form.
Binary Base 2
Binary uses only 0 and 1. Each position represents a power of 2, so the binary number 1010 equals 8 + 2, which is 10 in decimal. This maps naturally to digital circuits and computer storage.
Decimal Base 10
Decimal is the everyday number system with digits 0 through 9. When converting from binary or hex to decimal, the calculator evaluates each digit according to its place value.
Hex Base 16
Hexadecimal uses 0–9 and A–F. One hex digit represents four binary bits, making it compact for memory addresses, machine code, web colors, checksums, and debugging output.
Bit Length
Bit length tells you how many binary digits are needed to represent a number. This matters when working with storage sizes, fixed-width integers, binary masks, and computer architecture.