How to Use This Calculator
Convert the decimal number 255 to hexadecimal. Select "Decimal (10)" as the source base and "Hexadecimal (16)" as the target base, enter 255, and click Convert. The result shows FF — which is the hex representation. The other panels show binary = 11111111, octal = 377, and decimal = 255. Notice that 255 (decimal), FF (hex), 377 (octal), and 11111111 (binary) all represent the same value — one byte at its maximum. Now convert binary 10101010 to decimal: select source = Binary (2), target = Decimal (10), enter 10101010. The result is 170. The hex is AA, and the octal is 252. This is useful for understanding how the same number looks in different bases, which is fundamental to understanding computer memory and addressing.
About Number Base Converter
The Number Base Converter translates values between binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Enter a number, select the source base and target base, and the conversion is performed instantly. The tool also displays the equivalent value in all four bases simultaneously, making it easy to compare representations side by side. This converter is indispensable for computer science students learning how CPUs represent data, for programmers debugging memory addresses or bitmasks in hex, for network engineers working with IP addresses and subnet masks, and for anyone studying digital electronics. Understanding number bases is key to grasping how computers store and manipulate information — binary for machine logic, octal for UNIX file permissions, decimal for human readability, and hexadecimal for compact byte representation. The converter handles arbitrarily large integers within JavaScript's safe integer range. Whether you are converting RGB color values, analyzing network packets, or teaching number systems, this tool bridges the gap between human-friendly and machine-friendly notation.
When to Use This Calculator
Programming (Debugging & Memory): When debugging, memory addresses are shown in hex (e.g., 0x7FFF). To convert that to decimal or understand the binary pattern, use this converter. Similarly, RGB colors in CSS are often hex values like #FF5733. The hex FF = 255 in decimal, so red=255, green=87, blue=51.
Networking: IP addresses and subnet masks are often expressed in decimal (192.168.1.1), but routers work with binary. Converting between decimal and binary helps you understand subnetting. For example, the subnet mask 255.255.255.0 is 11111111.11111111.11111111.00000000 in binary.
Digital Electronics: When working with logic gates, microcontrollers, or Arduino projects, you'll encounter binary register values and hex pin mappings. Converting a hex value like 0x3F to binary (00111111) helps you understand which bits are set in a 7-segment display driver or shift register.