Hex to Decimal

Hexadecimal (Hex) Number: Hexadecimal is a base-sixteen numeral system that uses sixteen symbols: 0-9 and A-F, where A represents 10, B represents 11, and so on up to F representing 15. It's commonly used in computing for representing binary-coded values in a more compact form.

Hexadecimal Number Example: An example of a hexadecimal number is 2F8A. Each digit in a hexadecimal number represents a power of 16, with the rightmost digit representing 16^0, the next representing 16^1, and so on.

Decimal Number: A decimal number is a base-ten numeral system that uses ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It's the numeral system most commonly used by people in everyday life.

Decimal Number Example: An example of a decimal number is 456. Here, 4 is in the hundreds place (10^2), 5 is in the tens place (10^1), and 6 is in the ones place (10^0).

Conversion Process: Hexadecimal to Decimal

1. Assign Decimal Values to Hexadecimal Digits: Assign decimal values to each hexadecimal digit based on its position and the base-16 system.
2. Multiply and Sum: Multiply each decimal value by its corresponding power of 16 and sum all these products to get the decimal equivalent.

Example: Convert Hexadecimal 2F8A to Decimal

Hexadecimal Number: 2F8A

Assign Decimal Values:
2 (2 * 16^3 = 8192)
F (15 * 16^2 = 3840)
8 (8 * 16^1 = 128)
A (10 * 16^0 = 10)

Multiply and Sum:
8192 + 3840 + 128 + 10 = 12170

Therefore, the decimal representation of the hexadecimal number 2F8A is 12170.