Convert `(3C8.08)_(16)` to decimal.

Answer

To convert the hexadecimal number \( (3C8.08)_{16} \) to decimal, we will break it down into its integer and fractional parts and convert each part separately.

### Step 1: Identify the digits and their place values
The hexadecimal number \( 3C8.08 \) consists of:
- Integer part: \( 3C8 \)
- Fractional part: \( 08 \)

In hexadecimal, the digits represent the following values:
- \( 3 \) = 3
- \( C \) = 12 (since \( C \) is the 12th digit in hexadecimal)
- \( 8 \) = 8
- \( 0 \) = 0
- \( 8 \) = 8

### Step 2: Convert the integer part \( 3C8 \) to decimal
The integer part \( 3C8 \) can be converted to decimal using the formula:
\[ \text{Decimal} = d_n \times 16^n + d_{n-1} \times 16^{n-1} + \ldots + d_1 \times 16^1 + d_0 \times 16^0 \]
where \( d \) represents the digits from left to right.

For \( 3C8 \):
- \( 3 \) is in the \( 16^2 \) place
- \( C \) (12) is in the \( 16^1 \) place
- \( 8 \) is in the \( 16^0 \) place

Calculating:
\[ 3 \times 16^2 + 12 \times 16^1 + 8 \times 16^0 \]
\[ = 3 \times 256 + 12 \times 16 + 8 \times 1 \]
\[ = 768 + 192 + 8 \]
\[ = 968 \]

### Step 3: Convert the fractional part \( 0.08 \) to decimal
The fractional part \( 0.08 \) can be converted using the formula:
\[ \text{Decimal} = d_{-1} \times 16^{-1} + d_{-2} \times 16^{-2} \]
For \( 0.08 \):
- \( 0 \) is in the \( 16^{-1} \) place
- \( 8 \) is in the \( 16^{-2} \) place

Calculating:
\[ 0 \times 16^{-1} + 8 \times 16^{-2} \]
\[ = 0 + 8 \times \frac{1}{256} \]
\[ = \frac{8}{256} = 0.03125 \]

### Step 4: Combine both parts
Now, we combine the integer part and the fractional part:
\[ 968 + 0.03125 = 968.03125 \]

### Final Answer
Thus, the decimal equivalent of \( (3C8.08)_{16} \) is:
\[ \boxed{968.03125} \]