1. What is Hexadecimal?

Hexadecimal (base-16) is a numerical system that uses 16 distinct symbols: 0-9 to represent values zero to nine, and A-F to represent values ten to fifteen. It's widely used in computing and programming.

2. How Hexadecimal Calculations Work

The calculator performs operations by:

Example: Adding 1A (26 in decimal) and 0F (15 in decimal):

• 1A + 0F = 29 (in decimal)
• 29 in decimal = 1D in hexadecimal

3. Common Uses of Hexadecimal

Details: Hexadecimal is commonly used for:

• Memory addresses in computing
• Representing binary data in a compact form
• Color codes in web design (e.g., #FF5733)
• Debugging and low-level programming

4. Using the Calculator

Tips:

• Enter valid hexadecimal values (digits 0-9 and letters A-F)
• Case doesn't matter (1a is same as 1A)
• Negative results will be shown in two's complement form

5. Frequently Asked Questions (FAQ)

Q1: Why use hexadecimal instead of decimal?
A: Hexadecimal provides a more compact representation of binary data and aligns well with byte boundaries (each byte can be represented by exactly 2 hex digits).

Q2: How do I convert between hex and decimal?
A: Use hexdec() for hex→decimal and dechex() for decimal→hex in PHP. Most programming languages have similar functions.

Q3: What about hexadecimal division?
A: Division is more complex with potential remainders. This calculator focuses on basic arithmetic operations.

Q4: Can I perform bitwise operations?
A: This calculator doesn't currently support bitwise operations, but they're commonly used in programming with hex values.

Q5: How are negative numbers represented?
A: Negative results are shown as positive values. For two's complement representation, additional processing would be needed.