Convert the following: (103.6)10 = (?)16

To convert a decimal number to hexadecimal, we need to follow these steps:

1. Divide the decimal number by 16.
2. Write down the remainder.
3. Divide the quotient of the previous division by 16.
4. Repeat steps 2 and 3 until we get a quotient of zero.
5. The hexadecimal number is the string of remainders read in reverse order.

Let's convert (103.6)10 to hexadecimal.

First, we will convert the integer part (103)10:

Division by 16	Quotient	Remainder
103 / 16	6	7
6 / 16	0	6

Reading the remainders in reverse order gives us 67.

Next, we will convert the fractional part (.6)10:

1. Multiply the fraction by 16.
2. The whole number part of the result is the first digit of the hexadecimal fraction.
3. Repeat the process with the fractional part of the result.

Multiplication by 16	Result	Integer Part
0.6 * 16	9.6	9
0.6 * 16	9.6	9
...	...	...

We can stop here or continue until we get a repeating pattern or until the fractional part becomes zero. For this example, we will stop here.

So, the hexadecimal representation of (103.6)10 is (67.99)16.