convert decimal to hexadecimal with solution

166
871
1124
2524
5216

To convert a decimal number to a hexadecimal, we repeatedly divide the number by 16, recording the remainders. The hexadecimal number is formed by reading the remainders from bottom to top.

Let's convert the given numbers step-by-step:

### 1. Convert **166** to Hexadecimal:

1. Divide 166 by 16:
   \[
   166 \div 16 = 10 \text{ remainder } 6
   \]
   - Quotient = 10, Remainder = 6
2. Divide 10 by 16:
   \[
   10 \div 16 = 0 \text{ remainder } 10
   \]
   - Quotient = 0, Remainder = 10 (10 in hexadecimal is "A")

Read the remainders from bottom to top: **A6**

**166 in decimal = A6 in hexadecimal.**

---

### 2. Convert **871** to Hexadecimal:

1. Divide 871 by 16:
   \[
   871 \div 16 = 54 \text{ remainder } 7
   \]
   - Quotient = 54, Remainder = 7
2. Divide 54 by 16:
   \[
   54 \div 16 = 3 \text{ remainder } 6
   \]
   - Quotient = 3, Remainder = 6
3. Divide 3 by 16:
   \[
   3 \div 16 = 0 \text{ remainder } 3
   \]
   - Quotient = 0, Remainder = 3

Read the remainders from bottom to top: **367**

**871 in decimal = 367 in hexadecimal.**

---

### 3. Convert **1124** to Hexadecimal:

1. Divide 1124 by 16:
   \[
   1124 \div 16 = 70 \text{ remainder } 4
   \]
   - Quotient = 70, Remainder = 4
2. Divide 70 by 16:
   \[
   70 \div 16 = 4 \text{ remainder } 6
   \]
   - Quotient = 4, Remainder = 6
3. Divide 4 by 16:
   \[
   4 \div 16 = 0 \text{ remainder } 4
   \]
   - Quotient = 0, Remainder = 4

Read the remainders from bottom to top: **464**

**1124 in decimal = 464 in hexadecimal.**

---

### 4. Convert **2524** to Hexadecimal:

1. Divide 2524 by 16:
   \[
   2524 \div 16 = 157 \text{ remainder } 12
   \]
   - Quotient = 157, Remainder = 12 (12 in hexadecimal is "C")
2. Divide 157 by 16:
   \[
   157 \div 16 = 9 \text{ remainder } 13
   \]
   - Quotient = 9, Remainder = 13 (13 in hexadecimal is "D")
3. Divide 9 by 16:
   \[
   9 \div 16 = 0 \text{ remainder } 9
   \]
   - Quotient = 0, Remainder = 9

Read the remainders from bottom to top: **9DC**

**2524 in decimal = 9DC in hexadecimal.**

---

### 5. Convert **5216** to Hexadecimal:

1. Divide 5216 by 16:
   \[
   5216 \div 16 = 326 \text{ remainder } 0
   \]
   - Quotient = 326, Remainder = 0
2. Divide 326 by 16:
   \[
   326 \div 16 = 20 \text{ remainder } 6
   \]
   - Quotient = 20, Remainder = 6
3. Divide 20 by 16:
   \[
   20 \div 16 = 1 \text{ remainder } 4
   \]
   - Quotient = 1, Remainder = 4
4. Divide 1 by 16:
   \[
   1 \div 16 = 0 \text{ remainder } 1
   \]
   - Quotient = 0, Remainder = 1

Read the remainders from bottom to top: **1460**

**5216 in decimal = 1460 in hexadecimal.**

---

### Summary:

- **166 in decimal = A6 in hexadecimal**
- **871 in decimal = 367 in hexadecimal**
- **1124 in decimal = 464 in hexadecimal**
- **2524 in decimal = 9DC in hexadecimal**
- **5216 in decimal = 1460 in hexadecimal**

Would you like more details, or do you have any other questions?

### Related Questions:
1. How do you convert a hexadecimal number back to decimal?
2. What is the hexadecimal representation of a negative decimal number?
3. How does hexadecimal arithmetic work (addition, subtraction, etc.)?
4. How are hexadecimal numbers used in computer science?
5. What is the hexadecimal equivalent of a binary number?

### Tip:
To quickly convert between hexadecimal and binary, remember that each hexadecimal digit represents exactly four binary digits.

Convert decimal to hexadecimal with solution for the following numbers: 166, 871, 1124, 2524, 5216.

Explore how to convert decimal numbers 166, 871, 1124, 2524, and 5216 to their hexadecimal equivalents. This guide includes detailed step-by-step solutions, key concepts in base conversions, and is suitable for students in Grades 9-12.

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