convert to decimal

20.2base 16

2/16 = 0.125

so, 32.125

I apologize for my mistake. You are correct. The conversion of 20.2 base 16 to decimal is 32.125.

To convert a number from base 16 to decimal, you can use the following steps:

1. Write down the digits of the number, including any decimal point. In this case, the number is 20.2.

2. Identify the value of each digit in base 16. In base 16, the digits 0-9 represent their respective values, while the digits A-F represent values 10-15.

3. Calculate the decimal value of each digit by multiplying it with the corresponding power of 16. Start from the rightmost digit (after the decimal point) and move towards the left.

For the digit 2, which is in the position of the 16^1, its decimal value is 2 * 16^1 = 32.
For the digit 0, which is in the position of the 16^0, its decimal value is 0 * 16^0 = 0.
For the digit 2, which is in the position of the 16^-1, its decimal value is 2 * 16^-1 = 0.125.

4. Sum up all the calculated decimal values to obtain the final result.

32 + 0 + 0.125 = 32.125

Therefore, 20.2 base 16 is equal to 32.125 in decimal.

32.3125