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6. **Convert the following decimal numbers:**

   a. \( 56354 \) to binary
   
   b. \( 89353 \) to octal
   
   c. \( 56253 \) to hexadecimal

I will solve each conversion step by step:

### a) Convert \( 56354 \) to binary:
We will divide the number by 2 and record the remainders.

### b) Convert \( 89353 \) to octal:
We will divide the number by 8 and record the remainders.

### c) Convert \( 56253 \) to hexadecimal:
We will divide the number by 16 and record the remainders.

Let me calculate these for you.Here are the results of the conversions:

- **a.** \( 56354 \) in binary is \( 1101110000100010 \).
- **b.** \( 89353 \) in octal is \( 256411 \).
- **c.** \( 56253 \) in hexadecimal is \( DBBD \).

Would you like a detailed explanation of the conversion steps or have any other questions?

Here are five related questions for further exploration:
1. How do you convert a binary number back to decimal?
2. What are the advantages of using hexadecimal in computing?
3. Can you explain how the octal system is used in some programming languages?
4. Why is binary important in digital electronics and computing?
5. How does converting a decimal to a different base impact data storage?

**Tip:** Remember that binary, octal, and hexadecimal are all different representations of the same data in computing, often used to simplify understanding large binary numbers.

Convert the following decimal numbers: a. 56354 to binary, b. 89353 to octal, c. 56253 to hexadecimal

Learn how to convert decimal numbers to different numeral systems like binary, octal, and hexadecimal. We will cover the conversion of 56354 to binary, 89353 to octal, and 56253 to hexadecimal, with step-by-step solutions. Suitable for high school students.

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