Hexadecimal Converter
Convert a hexadecimal value into decimal notation.
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Explore hexadecimal digit positions
FF → 255
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FF
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Convert hexadecimal into decimal
Example: FF → 255
Decimal result
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Return decimal result
Understanding the Hexadecimal Number System
What Is Hexadecimal?
Hexadecimal, commonly abbreviated as hex, is a base-16 number system that uses sixteen distinct symbols: the digits 0 through 9 represent values zero to nine, and the letters A through F represent values ten through fifteen. Hexadecimal provides a human-friendly way to represent binary-coded values because each hex digit corresponds exactly to four binary bits, known as a nibble.
Why Hexadecimal Exists
While computers operate in binary, binary numbers become very long and difficult to read. A single byte (8 bits) like 11111111 is much easier to read as its hex equivalent, FF. This compact representation is why hex is used extensively in computing, from memory addresses and machine code to color codes and MAC addresses. A 32-bit memory address that would be 32 characters in binary is only 8 characters in hex.
Hexadecimal in Web Development
Web developers encounter hexadecimal daily through CSS color codes. The color notation #FF5733 encodes three values in hex: FF (255) for red, 57 (87) for green, and 33 (51) for blue. Understanding hex lets developers quickly estimate colors and make fine adjustments without relying solely on color pickers.
Converting Hex to Decimal
To convert hex to decimal, multiply each digit by its positional power of 16 and sum the results. For example, hex 1A3 equals (1 times 256) + (10 times 16) + (3 times 1) = 256 + 160 + 3 = 419. Remember that A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15. This converter performs these calculations instantly, handling any valid hex input with uppercase or lowercase letters.