Hexadecimal to Decimal Conversion Explained 1️⃣6️⃣

Hexadecimal numbers are often encountered in computer science and programming. They use base 16, which means each digit represents a value from 0 to 15. When converting a hexadecimal number to decimal, follow these steps:

1. Hexadecimal Number: Take the given hexadecimal number (e.g., 3B) and break it down into its individual digits.
2. Powers of 16: Each digit in the hexadecimal number corresponds to a power of 16. Starting from the rightmost digit, assign powers of 16 to each digit (16^0, 16^1, 16^2, and so on).
3. Multiplication and Sum: Multiply each digit by its corresponding power of 16 and sum up the results. This gives you the decimal equivalent.

Examples:

1. 3B in Hexadecimal:
   • 3B = 3 × 16^1 + 11 × 16^0
   • Result: 59 in Decimal
2. E7A9 in Hexadecimal:
   • E7A9 = 14 × 16^3 + 7 × 16^2 + 10 × 16^1 + 9 × 16^0
   • Result: 59305 in Decimal
3. 0.8 in Hexadecimal:
   • 0.8 = 0 × 16^0 + 8 × 16^(-1)
   • Result: 0.5 in Decimal

Remember, this conversion is essential for understanding memory addresses, color codes, and other technical aspects. If you encounter hexadecimal numbers, now you know how to convert them to decimal!