What is Hex to Decimal Converter?

Hex to Decimal Converter is a free online tool that converts hexadecimal base-16 numbers into decimal base-10 format. Hexadecimal is widely used in programming, computer science, networking, and digital electronics. Converting Hex to Decimal helps programmers, students, and engineers understand hex values in familiar decimal form for debugging, calculations, and data analysis.

How Hex to Decimal Conversion Works

Step 1: Input Hex Number - Enter hex value with or without 0x prefix. Step 2: Validate Format - System checks for valid hex characters 0-9, A-F, a-f. Step 3: Parse Digits - Each hex digit is processed from right to left. Step 4: Apply Powers of 16 - Each digit multiplied by 16 raised to position power. Step 5: Sum All Values - Total of all digit values gives decimal result.

Hex to Decimal Conversion Table

Hex 0 = Decimal 0, Hex 1 = Decimal 1, Hex 2 = Decimal 2, Hex 3 = Decimal 3, Hex 4 = Decimal 4, Hex 5 = Decimal 5, Hex 6 = Decimal 6, Hex 7 = Decimal 7, Hex 8 = Decimal 8, Hex 9 = Decimal 9, Hex A = Decimal 10, Hex B = Decimal 11, Hex C = Decimal 12, Hex D = Decimal 13, Hex E = Decimal 14, Hex F = Decimal 15.

Common Hex to Decimal Conversions

Hex 1 = 1 decimal, Hex A = 10 decimal, Hex F = 15 decimal, Hex 10 = 16 decimal, Hex 1F = 31 decimal, Hex 20 = 32 decimal (Space character ASCII), Hex 40 = 64 decimal (@ symbol ASCII), Hex 7F = 127 decimal (Delete character ASCII), Hex 80 = 128 decimal, Hex FF = 255 decimal (Maximum 8-bit value), Hex 100 = 256 decimal, Hex FFFF = 65535 decimal (Maximum 16-bit value), Hex FFFFFFFF = 4294967295 decimal (Maximum 32-bit unsigned).

Hex Color Codes to Decimal RGB

Hex 000000 = RGB(0,0,0) Black, Hex FF0000 = RGB(255,0,0) Red, Hex 00FF00 = RGB(0,255,0) Green, Hex 0000FF = RGB(0,0,255) Blue, Hex FFFF00 = RGB(255,255,0) Yellow, Hex FF00FF = RGB(255,0,255) Magenta, Hex 00FFFF = RGB(0,255,255) Cyan, Hex FFFFFF = RGB(255,255,255) White, Hex FF5733 = RGB(255,87,51) Orange-Red, Hex 800080 = RGB(128,0,128) Purple.

Conversion Examples with Steps

Hex 1A: 1 x 16^1 + 10 x 16^0 = 16 + 10 = 26 decimal. Hex FF: 15 x 16^1 + 15 x 16^0 = 240 + 15 = 255 decimal. Hex 100: 1 x 16^2 + 0 x 16^1 + 0 x 16^0 = 256 decimal. Hex 2A3: 2 x 16^2 + 10 x 16^1 + 3 x 16^0 = 512 + 160 + 3 = 675 decimal. Hex FFFF: 15x16^3 + 15x16^2 + 15x16^1 + 15x16^0 = 61440 + 3840 + 240 + 15 = 65535 decimal.

Programming Languages Hex to Decimal

JavaScript: parseInt(FF, 16) returns 255. Python: int(FF, 16) returns 255. C/C++: int x = 0xFF returns 255. Java: Integer.parseInt(FF, 16) returns 255. C#: Convert.ToInt32(FF, 16) returns 255. PHP: hexdec(FF) returns 255. Ruby: FF.to_i(16) returns 255. Go: strconv.ParseInt(FF, 16, 64) returns 255.

Bit Lengths and Maximum Values

4-bit: Max Hex F = 15 decimal. 8-bit: Max Hex FF = 255 decimal. 16-bit: Max Hex FFFF = 65535 decimal. 24-bit: Max Hex FFFFFF = 16777215 decimal. 32-bit: Max Hex FFFFFFFF = 4294967295 decimal. 64-bit: Max Hex FFFFFFFFFFFFFFFF = 18446744073709551615 decimal.

Signed Hex to Decimal Two's Complement

Hex FF (8-bit) = -1 decimal, Hex FE (8-bit) = -2 decimal, Hex 80 (8-bit) = -128 decimal, Hex FFFF (16-bit) = -1 decimal, Hex 8000 (16-bit) = -32768 decimal, Hex FFFFFFFF (32-bit) = -1 decimal.

ASCII Character Hex to Decimal

NUL (00) = 0, LF (0A) = 10, CR (0D) = 13, SPACE (20) = 32, 0 (30) = 48, A (41) = 65, a (61) = 97, ~ (7E) = 126.

Network IP Address Hex to Decimal

0x00000000 = 0.0.0.0 Default route, 0x7F000001 = 127.0.0.1 Localhost, 0xFFFFFFFF = 255.255.255.255 Broadcast, 0xC0A80101 = 192.168.1.1 Private network, 0x8EAF4D05 = 142.250.185.5 Google DNS.

Conclusion

Hex to Decimal Converter is an essential tool for programmers, computer science students, network engineers, and electronics professionals. It provides accurate, instant conversion between hexadecimal and decimal number systems. Use this tool for debugging memory addresses, converting color codes, analyzing network data, and learning number system conversions.

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