Understanding Hexadecimal Mathematics

Hexadecimal (base-16) notation is fundamental in computing for representing binary data concisely. It's used extensively in memory addressing, color codes, and assembly programming where direct binary representation would be unwieldy.

How Hexadecimal Calculation Works

Convert hexadecimal values to their decimal equivalents using positional values (16^0, 16^1, etc.)
Perform arithmetic operations in decimal format
Convert the result back to hexadecimal representation
Handle carry/borrow operations using base-16 rules (where F + 1 = 10)

Practical Examples

Memory Addressing:

Adding offset 0x20 to base address 0x1000 results in 0x1020 (4096 + 32 = 4128 in decimal)

Hexadecimal Reference Table

Hex	Decimal	Binary
0-F	0-15	0000-1111
10	16	10000
100	256	100000000

Important Notes:

Hexadecimal values are case-insensitive (A-F equals a-f)
Division by zero is undefined in any numeral system
Negative results are represented using two's complement notation

Hexadecimal Calculator - Base 16 Math

Result

Understanding Hexadecimal Mathematics

How Hexadecimal Calculation Works

Practical Examples

Hexadecimal Reference Table

Hex/Decimal Converter

Frequently Asked Questions

Why use hexadecimal instead of decimal?

How do I represent negative hexadecimal values?

Can hexadecimal represent fractions?

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Hexadecimal Calculator - Base 16 Math

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