Convert between binary, octal, decimal, and hexadecimal number systems with step-by-step breakdowns.
Quick Answer:Hex FF = 255 decimal, hex 0A = 10 decimal, hex 64 = 100 decimal. Enter any value and select input/output bases below.
Converted Value
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Binary (Base 2)
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Octal (Base 8)
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Decimal (Base 10)
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Hexadecimal (Base 16)
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In web development, hex color codes like #FF5733 are actually three hex pairs representing Red (FF=255), Green (57=87), and Blue (33=51) values. Understanding hex-to-decimal conversion helps you manipulate colors programmatically. Each hex digit maps to exactly 4 binary bits, which is why hex is the preferred notation for byte-level data in programming.
To convert hex to decimal, multiply each hex digit by 16 raised to the power of its position (starting from 0 on the right). For example, hex FF = F(15) x 16^1 + F(15) x 16^0 = 240 + 15 = 255. Each hex digit represents values 0-9 and A-F (10-15).
Common prefixes include 0x for hexadecimal (e.g., 0xFF), 0b for binary (e.g., 0b1010), and 0o for octal (e.g., 0o77). Decimal numbers typically have no prefix. These prefixes help programmers identify the base of a number in source code.
Hexadecimal is widely used because each hex digit represents exactly 4 binary bits, making it a compact way to represent binary data. In web development, hex codes like #FF5733 represent colors (RGB values). In programming, hex is used for memory addresses, color codes, Unicode characters, and low-level data representation.