7.	 Convert the hexadecimal number to binary:
a.	AD.1C16


To convert the hexadecimal number **AD.1C16** to binary, we will split the number into two parts: the whole number part (**AD**) and the fractional part (**1C16**). We'll then convert each part separately.

### Step 1: Convert the whole number part (AD) to binary
- **A** in hexadecimal is equivalent to **1010** in binary.
- **D** in hexadecimal is equivalent to **1101** in binary.

So, **AD** in hexadecimal becomes **1010 1101** in binary.

### Step 2: Convert the fractional part (1C16) to binary
- **1** in hexadecimal is equivalent to **0001** in binary.
- **C** in hexadecimal is equivalent to **1100** in binary.

So, **1C16** in hexadecimal becomes **0001 1100** in binary.

### Final Answer:
The hexadecimal number **AD.1C16** is equal to **1010 1101.0001 1100** in binary.

Would you like a deeper explanation of any part of the conversion, or do you have any other questions?

### Related Questions:
1. How would you convert binary to hexadecimal?
2. What is the binary equivalent of the number **FF** in hexadecimal?
3. Can you explain the process of converting a binary number with a fractional part to hexadecimal?
4. How do you convert other base number systems, like octal, to binary?
5. What are the different uses of hexadecimal numbers in computing?

### Tip:
When working with binary fractions, remember to handle each digit individually after the decimal point, just like you would for whole numbers.

Convert the hexadecimal number to binary: AD.1C16

Learn how to convert the hexadecimal number AD.1C16 to binary with a detailed step-by-step solution. This problem covers key concepts in number systems, including the conversion of hexadecimal digits to their binary equivalents. Suitable for students in Grades 7-9.

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