Decimal to Hexadecimal Converter
Convert between decimal (base-10) and hexadecimal (base-16) number systems with step-by-step conversion process
Number System Converter
Range: -2,147,483,648 to 2,147,483,647
Use digits 0-9 and letters A-F
Example Conversions
Decimal to Hexadecimal Examples:
1010=A16
1510=F16
1610=1016
25510=FF16
25610=10016
498710=137B16
Hexadecimal to Decimal Examples:
A16=1010
F16=1510
1016=1610
FF16=25510
10016=25610
243A16=927410
Hexadecimal Reference Table
DecimalHexadecimalBinary
000000
110001
220010
330011
440100
550101
660110
770111
881000
991001
10A1010
11B1011
12C1100
13D1101
14E1110
15F1111
Hexadecimal uses 0-9 and A-F to represent values 0-15
Quick Tips
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Decimal uses base 10 (digits 0-9)
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Hexadecimal uses base 16 (0-9, A-F)
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A=10, B=11, C=12, D=13, E=14, F=15
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Hex is often prefixed with 0x in programming
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Each hex digit represents 4 binary bits
Understanding Decimal and Hexadecimal Number Systems
What is the Hexadecimal System?
The hexadecimal system is a numeral system that uses sixteen different digits: 0-9 and A-F. It's commonly used in computer programming because it provides a more compact way to represent binary data.
Why Use Hexadecimal?
- •Compact representation of binary data
- •Easier to read than long binary strings
- •Common in programming and web development
- •Used for color codes, memory addresses
Conversion Methods
Decimal to Hexadecimal:
- 1. Divide the decimal number by 16
- 2. Note the remainder (0-15, where 10-15 = A-F)
- 3. Repeat with the quotient
- 4. Read remainders from bottom to top
Hexadecimal to Decimal:
- 1. Multiply each digit by 16^position
- 2. Position starts from 0 (rightmost)
- 3. Sum all the products
- 4. Convert A-F to 10-15
Remember: Each hexadecimal digit represents exactly 4 binary bits, making conversion between hex and binary straightforward.