To convert the binary number $11110011110100.000_2$ into a decimal number, we’ll break it down as follows:

1. Separate the Integer and Fractional Parts
   The binary number is $11110011110100.000_2$, which can be divided into:

   • Integer part: $11110011110100_2$
   • Fractional part: $000_2$

2. Convert the Integer Part
   We convert $11110011110100_2$ by expanding it as: $1 \cdot 2^{13} + 1 \cdot 2^{12} + 1 \cdot 2^{11} + 1 \cdot 2^{10} + 0 \cdot 2^9 + 0 \cdot 2^8 + 1 \cdot 2^7 + 1 \cdot 2^6 + 1 \cdot 2^5 + 0 \cdot 2^4 + 1 \cdot 2^3 + 0 \cdot 2^2 + 0 \cdot 2^1 + 0 \cdot 2^0$ Calculating each term: $= 8192 + 4096 + 2048 + 1024 + 0 + 0 + 128 + 64 + 32 + 0 + 8 + 0 + 4 + 0 = 17556$

3. Convert the Fractional Part
   The fractional part $000_2$ simply represents 0 in decimal.

4. Combine the Integer and Fractional Parts
   Therefore, the decimal value is: $17556.0$

Final Answer

$11110011110100.000_2 = 17556_{10}$

Would you like details on the calculation steps? Here are some further questions to explore:

1. How is binary-to-decimal conversion performed for numbers with non-zero fractional parts?