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To convert the decimal number \(150_{10}\) to hexadecimal, follow these steps:

1. **Divide 150 by 16** (since 16 is the base of the hexadecimal system).
   
   \[
   150 \div 16 = 9 \text{ with a remainder of } 6
   \]

2. **Write down the remainder**. This remainder is the least significant digit (rightmost digit) in the hexadecimal value.

3. **Divide the quotient (9) by 16**:
   
   \[
   9 \div 16 = 0 \text{ with a remainder of } 9
   \]

4. **Write down this remainder**. This is the next digit in the hexadecimal value.

Since the quotient is now 0, the conversion is complete. The remainders, read from bottom to top, give us the hexadecimal number.

Thus, \(150_{10} = 96_{16}\).

Would you like a detailed explanation of the conversion process or have any questions? Here are five related questions to explore further:

1. How would you convert a binary number to hexadecimal?
2. What is the significance of each digit in a hexadecimal number?
3. How would you convert \(150_{10}\) to binary?
4. How can you quickly estimate whether a decimal number will have an even or odd number of digits in hexadecimal?
5. How is the hexadecimal system used in computing and programming?

**Tip:** When converting large decimal numbers to hexadecimal, it helps to remember that each hexadecimal digit represents 4 binary digits (bits).

Learn how to convert the decimal number 150 to hexadecimal using the division method. The problem explores key number system concepts and includes a detailed breakdown of each step in the base conversion process.

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