Final answer:
To convert from hexadecimal to decimal, we need to understand the place value system of both number systems. In hexadecimal, each digit represents a power of 16. We add up the products of each digit to get the equivalent decimal value.
Step-by-step explanation:
To convert from hexadecimal to decimal, we need to understand the place value system of both number systems. In hexadecimal, each digit represents a power of 16, starting from the rightmost digit. So, for example, in the number AA12, the first A represents 10 * 16^3, the second A represents 10 * 16^2, the 1 represents 1 * 16^1, and the 2 represents 2 * 16^0. To convert it to decimal, we simply add up the products: 10 * 16^3 + 10 * 16^2 + 1 * 16^1 + 2 * 16^0 = 43,906.
For the number 23FE.AA, the process is the same for the integer part 23FE. Converting it to decimal, we get 2 * 16^3 + 3 * 16^2 + 15 * 16^1 + 14 * 16^0 = 9,254. To convert the fractional part, AA, we consider it as a fraction with the base 16. AA in decimal would be 10/16 + 10/256 = 10/16 + 10/16^2 = 0.625. So, combining the integer and fractional parts, the decimal equivalent of 23FE.AA is 9,254.625.