Convert Binary to Decimal Online
Converting between binary (base-2) and decimal (base-10) is a fundamental skill in computer science, digital electronics, and programming. Binary is the native language of digital systems, while decimal is what humans naturally work with. Whether you are studying number systems, working with bitfields, analyzing memory addresses, or debugging low-level code, being able to quickly convert binary numbers to decimal is essential. This tool converts any binary number to its decimal equivalent instantly. It accepts binary strings of any length and shows the place value breakdown so you can understand the conversion process step by step. The converter handles both small values like 1010 (10) and large values representing memory addresses or CPU registers.
Decimal (base 10)
Hexadecimal (base 16)
Octal (base 8)
FAQ
- How do you convert binary to decimal?
- Multiply each binary digit by 2 raised to the power of its position (counting from right, starting at 0), then sum all the results. For 1010: (1×8) + (0×4) + (1×2) + (0×1) = 10.
- What is the largest binary number this supports?
- The converter handles binary numbers up to JavaScript's safe integer range (53-bit integers). For cryptographic or hardware-level larger values, you may need a specialized tool.
- Can I convert negative binary numbers?
- Positive binary integers are supported. Two's complement negative numbers require additional context about word size to interpret correctly.