Convert the following to Hexadecimal,

1) 24011

2)148510

3) 10230

4.)98210

5.)513

To convert each of these decimal numbers to their hexadecimal equivalents, we can follow the standard method of repeatedly dividing the number by 16 and recording the remainders. Here are the conversions:

1. **24011 (Decimal) to Hexadecimal:**
   \[
   24011 \div 16 = 1500 \text{ remainder } 11 \, (\text{B in hex})
   \]
   \[
   1500 \div 16 = 93 \text{ remainder } 12 \, (\text{C in hex})
   \]
   \[
   93 \div 16 = 5 \text{ remainder } 13 \, (\text{D in hex})
   \]
   \[
   5 \div 16 = 0 \text{ remainder } 5 \, (\text{5 in hex})
   \]
   Therefore, **24011** in hexadecimal is **5DCB**.

2. **148510 (Decimal) to Hexadecimal:**
   \[
   148510 \div 16 = 9281 \text{ remainder } 14 \, (\text{E in hex})
   \]
   \[
   9281 \div 16 = 580 \text{ remainder } 1 \, (\text{1 in hex})
   \]
   \[
   580 \div 16 = 36 \text{ remainder } 4 \, (\text{4 in hex})
   \]
   \[
   36 \div 16 = 2 \text{ remainder } 4 \, (\text{4 in hex})
   \]
   \[
   2 \div 16 = 0 \text{ remainder } 2 \, (\text{2 in hex})
   \]
   Therefore, **148510** in hexadecimal is **244E1**.

3. **10230 (Decimal) to Hexadecimal:**
   \[
   10230 \div 16 = 639 \text{ remainder } 6 \, (\text{6 in hex})
   \]
   \[
   639 \div 16 = 39 \text{ remainder } 15 \, (\text{F in hex})
   \]
   \[
   39 \div 16 = 2 \text{ remainder } 7 \, (\text{7 in hex})
   \]
   \[
   2 \div 16 = 0 \text{ remainder } 2 \, (\text{2 in hex})
   \]
   Therefore, **10230** in hexadecimal is **27F6**.

4. **98210 (Decimal) to Hexadecimal:**
   \[
   98210 \div 16 = 6138 \text{ remainder } 2 \, (\text{2 in hex})
   \]
   \[
   6138 \div 16 = 383 \text{ remainder } 10 \, (\text{A in hex})
   \]
   \[
   383 \div 16 = 23 \text{ remainder } 15 \, (\text{F in hex})
   \]
   \[
   23 \div 16 = 1 \text{ remainder } 7 \, (\text{7 in hex})
   \]
   \[
   1 \div 16 = 0 \text{ remainder } 1 \, (\text{1 in hex})
   \]
   Therefore, **98210** in hexadecimal is **17FA2**.

5. **513 (Decimal) to Hexadecimal:**
   \[
   513 \div 16 = 32 \text{ remainder } 1 \, (\text{1 in hex})
   \]
   \[
   32 \div 16 = 2 \text{ remainder } 0 \, (\text{0 in hex})
   \]
   \[
   2 \div 16 = 0 \text{ remainder } 2 \, (\text{2 in hex})
   \]
   Therefore, **513** in hexadecimal is **201**.

### Summary:
1. **24011** → **5DCB**
2. **148510** → **244E1**
3. **10230** → **27F6**
4. **98210** → **17FA2**
5. **513** → **201**

Do you want details or have any questions?

Here are some related questions:
1. How do you convert a hexadecimal number back to a decimal number?
2. What is the significance of hexadecimal numbers in computer science?
3. How would you represent negative numbers in hexadecimal?
4. How do hexadecimal and binary number systems relate?
5. How would you perform arithmetic operations with hexadecimal numbers?

**Tip:** When converting large decimal numbers to hexadecimal, it's helpful to group them into segments that are easily divisible by 16 for quicker calculation.

Learn how to convert decimal numbers to hexadecimal with detailed step-by-step examples. This guide covers the conversion process using division by 16 and recording remainders. Suitable for students and beginners in computer science and mathematics.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation