Base Converter
Convert between binary, decimal, and hexadecimal instantly. Two-way real-time sync.
How to Use
Enter your values in the fields above and click Calculate to get instant results. All computations run locally in your browser. No data is ever uploaded or stored.
Related Calculators
Number Base Conversion
Computers use binary (base 2), programmers use hexadecimal (base 16), and humans use decimal (base 10). CalcSolver's base converter instantly translates numbers between all four common bases — essential for programming, networking, and digital electronics.
Decimal 255 = Binary 11111111 = Hex FF = Octal 377. In networking, IP address 192.168.1.1 is actually the decimal representation of four binary octets. In programming, hex color codes like #FF5733 represent RGB values in hexadecimal.
Quick reference: each hex digit represents 4 binary bits (0-F = 0000-1111), and each octal digit represents 3 bits (0-7 = 000-111). Converting binary to hex: group bits in sets of 4 from right to left, then replace each group with its hex equivalent. Use CalcSolver's subnet calculator for IP-related base conversions and the scientific calculator for bitwise operations.
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Frequently Asked Questions
What is a number base?
A number base (or radix) is the number of unique digits used to represent numbers. Base 10 (decimal) uses digits 0-9, base 2 (binary) uses 0-1, base 8 (octal) uses 0-7, and base 16 (hexadecimal) uses 0-9 and A-F.
How do I convert decimal to binary?
Repeatedly divide the decimal number by 2 and record the remainders. Read the remainders from bottom to top to get the binary equivalent. For example, 13 in decimal: 13÷2=6 R1, 6÷2=3 R0, 3÷2=1 R1, 1÷2=0 R1 → 1101 in binary.
Why is hexadecimal used in computing?
Hexadecimal (base 16) is used because it compactly represents binary data. Each hex digit represents exactly 4 binary digits (bits), making it easy to read and write binary values. It is commonly used for memory addresses, color codes, and error codes.
What bases does this converter support?
Our base converter supports any base from 2 to 36. Bases 2 (binary), 8 (octal), 10 (decimal), and 16 (hexadecimal) are the most commonly used in computing and mathematics.