Integer to Hexadecimal Converter | Int to Hex

Integer to Hexadecimal Converter

Convert decimal integers to hexadecimal format instantly with detailed explanations and examples

INT
Hexadecimal Result:
0x0

How Integer to Hexadecimal Conversion Works

Hexadecimal (hex) is a base-16 number system that uses sixteen distinct symbols: 0-9 represent values zero to nine, and A-F represent values ten to fifteen. Converting integers to hexadecimal format is essential in computer programming, memory addressing, color codes, and low-level system operations.

The conversion process involves repeatedly dividing the integer by 16 and recording the remainders. These remainders, read in reverse order, form the hexadecimal representation. Each hex digit represents exactly 4 bits in binary, making it an efficient way to represent binary data in a compact, readable format.

Key Characteristics of Hexadecimal

  • Base-16 System: Uses 16 digits (0-9, A-F) compared to decimal’s 10 digits
  • Compact Representation: One hex digit = four binary bits (nibble)
  • Common Prefix: Often written with “0x” prefix (e.g., 0xFF) to indicate hexadecimal notation
  • Case Insensitive: Letters A-F can be uppercase or lowercase

Conversion Method with Step-by-Step Examples

Example 1: Convert 156 to Hexadecimal
  1. Divide 156 by 16 = 9 remainder 12 (C in hex)
  2. Divide 9 by 16 = 0 remainder 9
  3. Read remainders bottom-to-top: 9C
  4. Result: 156₁₀ = 0x9C
Verification: (9 × 16¹) + (12 × 16⁰) = 144 + 12 = 156 ✓
Example 2: Convert 7562 to Hexadecimal
  1. 7562 ÷ 16 = 472 remainder 10 (A)
  2. 472 ÷ 16 = 29 remainder 8 (8)
  3. 29 ÷ 16 = 1 remainder 13 (D)
  4. 1 ÷ 16 = 0 remainder 1 (1)
  5. Result: 7562₁₀ = 0x1D8A
Example 3: Convert 255 to Hexadecimal
  1. 255 ÷ 16 = 15 remainder 15 (F)
  2. 15 ÷ 16 = 0 remainder 15 (F)
  3. Result: 255₁₀ = 0xFF

Note: 0xFF is commonly seen in color codes (RGB), byte values, and computer memory addresses.

Example 4: Handling Negative Integers (-42)

Negative integers typically use two’s complement representation in computer systems:

  1. Convert absolute value: 42₁₀ = 0x2A
  2. For signed 8-bit: -42 = 0xD6 (two’s complement)
  3. For signed 16-bit: -42 = 0xFFD6
  4. Display depends on bit width and sign representation

Decimal to Hexadecimal Conversion Chart

This reference table shows common integer to hexadecimal conversions. Each row displays the decimal value alongside its hexadecimal equivalent.

Decimal (Base 10) Hexadecimal (Base 16) Binary (Base 2) Common Usage
00x00000Null value
10x10001First bit set
80x81000Byte boundary
100xA1010First letter in hex
150xF1111Maximum single hex digit
160x1010000Base of hexadecimal
320x20100000Space character (ASCII)
640x401000000@ symbol (ASCII)
1000x641100100Round decimal number
1270x7F1111111Max signed 8-bit
1280x8010000000Sign bit in 8-bit
2550xFF11111111Max unsigned 8-bit
2560x100100000000One byte + 1
5120x2001000000000Half kilobyte
10000x3E81111101000One thousand
10240x400100000000001 KB (kibibyte)
20480x8001000000000002 KB
40960x100010000000000004 KB / Page size
81920x2000100000000000008 KB
163840x400010000000000000016 KB
327680x8000100000000000000032 KB
655350xFFFF1111111111111111Max unsigned 16-bit
655360x100001000000000000000064 KB

Hexadecimal Digit Reference

Each hexadecimal digit represents a value from 0 to 15. Click any cell to quickly convert that value.

0
0x0
1
0x1
2
0x2
3
0x3
4
0x4
5
0x5
6
0x6
7
0x7
8
0x8
9
0x9
10
0xA
11
0xB
12
0xC
13
0xD
14
0xE
15
0xF

Popular Integer to Hex Conversions

Powers of 2
  • 1 = 0x1
  • 2 = 0x2
  • 4 = 0x4
  • 8 = 0x8
  • 16 = 0x10
  • 32 = 0x20
  • 64 = 0x40
Common RGB Values
  • 0 (Black) = 0x0
  • 128 (Half) = 0x80
  • 192 = 0xC0
  • 224 = 0xE0
  • 255 (White) = 0xFF
  • 204 = 0xCC
  • 153 = 0x99
Memory Addresses
  • 1024 = 0x400
  • 2048 = 0x800
  • 4096 = 0x1000
  • 8192 = 0x2000
  • 16384 = 0x4000
  • 32768 = 0x8000
  • 65536 = 0x10000
ASCII Control Characters
  • 0 (NULL) = 0x0
  • 9 (TAB) = 0x9
  • 10 (LF) = 0xA
  • 13 (CR) = 0xD
  • 27 (ESC) = 0x1B
  • 32 (Space) = 0x20
  • 127 (DEL) = 0x7F

Related Number System Conversions

Hexadecimal is closely related to other number systems used in computing. Converting between these formats helps in various programming and system-level tasks.

🔢 Integer to Binary

Convert decimal integers directly to binary (base-2) representation. Binary uses only 0 and 1, making it the fundamental language of computers.

🔢 Integer to Octal

Transform decimal integers to octal (base-8) format. Octal uses digits 0-7 and was commonly used in early computing systems.

🔄 Hex to Integer

Reverse conversion from hexadecimal back to decimal integers. Useful when reading memory addresses or color codes.

🔄 Binary to Hex

Convert binary numbers directly to hexadecimal. Each group of 4 binary digits corresponds to exactly one hex digit.

🎨 RGB to Hex Color

Convert RGB color values (0-255) to hexadecimal color codes used in web design and graphics programming.

📝 ASCII to Hex

Transform ASCII characters to their hexadecimal byte representations, useful for encoding and data transmission.

Frequently Asked Questions

What is the difference between decimal and hexadecimal?
Decimal is a base-10 number system using digits 0-9, while hexadecimal is a base-16 system using 0-9 and A-F. Hexadecimal provides a more compact way to represent large numbers and is particularly useful in computing because one hex digit represents exactly 4 binary bits. For example, the decimal number 255 requires three digits but only two in hexadecimal (0xFF).
Why do programmers use hexadecimal instead of decimal?
Programmers prefer hexadecimal because it aligns perfectly with binary, the language computers use internally. Every hex digit represents exactly 4 bits, making it easy to convert between binary and hex mentally. Hexadecimal is also more compact than binary – the 8-bit binary number 11111111 becomes simply FF in hex. This makes hex ideal for representing memory addresses, color codes, byte values, and debugging machine code.
What does the “0x” prefix mean in hexadecimal numbers?
The “0x” prefix is a notation convention indicating that the following digits should be interpreted as hexadecimal rather than decimal. For instance, 0x10 means hexadecimal 10 (which equals decimal 16), not decimal 10. This prefix originated in C programming language and is now widely adopted across many programming languages including C++, Java, JavaScript, Python, and others. Some systems use alternative notations like “h” suffix (10h) or “#” prefix (#FF).
How do I convert negative integers to hexadecimal?
Negative integers in hexadecimal depend on the representation system used. In two’s complement (most common in computing), you first determine the bit width (8-bit, 16-bit, 32-bit, etc.), convert the absolute value to binary, invert all bits, add 1, then convert to hex. For example, -1 in 8-bit two’s complement is 0xFF, in 16-bit it’s 0xFFFF. Some systems simply add a negative sign (-0x2A for -42) for display purposes, though this isn’t a true hexadecimal representation.
Can hexadecimal numbers have decimal points?
Yes, hexadecimal can represent fractional values using a decimal point (or hexadecimal point). For example, 0x1.8 in hex equals 1.5 in decimal (1 + 8/16). However, hexadecimal fractions are less commonly used than integer hex values. They appear in specialized contexts like floating-point representation, IEEE 754 format specification, and certain mathematical computations. Most everyday hex usage involves whole numbers for memory addresses, color codes, and byte values.
What’s the maximum value that can be represented in hexadecimal?
Hexadecimal itself has no maximum value – you can represent arbitrarily large numbers by adding more digits. However, practical limits depend on the data type: 8-bit values range from 0x0 to 0xFF (0-255 decimal), 16-bit from 0x0 to 0xFFFF (0-65535), 32-bit from 0x0 to 0xFFFFFFFF (0-4,294,967,295), and 64-bit from 0x0 to 0xFFFFFFFFFFFFFFFF. In programming, the maximum value is constrained by the variable type used to store the number.
How is hexadecimal used in color codes?
Web colors use hexadecimal to represent RGB (Red, Green, Blue) values in the format #RRGGBB. Each pair of hex digits represents one color channel with values from 00 to FF (0-255 decimal). For example, #FF0000 is pure red (255 red, 0 green, 0 blue), #00FF00 is pure green, and #FFFFFF is white. Some systems also support 8-digit hex codes (#RRGGBBAA) where the last pair represents alpha (transparency). This compact representation is why hex colors are standard in HTML, CSS, and graphic design software.
Are hexadecimal letters case-sensitive?
No, hexadecimal letters (A-F) are not case-sensitive. You can write them as uppercase (0xFF) or lowercase (0xff) – both represent the same value. However, consistency is important for code readability. Most programming style guides recommend choosing one convention and sticking to it throughout your codebase. Uppercase is slightly more common in documentation and printed materials, while lowercase is often preferred in code due to easier typing.
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