To convert the decimal number 4618 to binary, we can use the method of successive division by 2, recording the remainders.

1. \( 4618 \div 2 = 2309 \) remainder 0
2. \( 2309 \div 2 = 1154 \) remainder 1
3. \( 1154 \div 2 = 577 \) remainder 0
4. \( 577 \div 2 = 288 \) remainder 1
5. \( 288 \div 2 = 144 \) remainder 0
6. \( 144 \div 2 = 72 \) remainder 0
7. \( 72 \div 2 = 36 \) remainder 0
8. \( 36 \div 2 = 18 \) remainder 0
9. \( 18 \div 2 = 9 \) remainder 0
10. \( 9 \div 2 = 4 \) remainder 1
11. \( 4 \div 2 = 2 \) remainder 0
12. \( 2 \div 2 = 1 \) remainder 0
13. \( 1 \div 2 = 0 \) remainder 1

Now, reading the remainders from bottom to top, the binary representation of 4618 is:

\[
\text{Binary: } 1001000001010_2
\]

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. How do you convert binary numbers back to decimal?
2. What are binary operations and how are they applied?
3. What is the significance of binary in computer systems?
4. How does the two's complement method work for negative binary numbers?
5. How do binary and hexadecimal number systems relate?

**Tip:** When converting decimal to binary, always start dividing by 2 and track the remainders carefully!

Convert the decimal number 4618 to its binary equivalent using the method of successive division by 2. This detailed explanation is perfect for students in Grades 6-8, covering key concepts in number systems and binary conversion.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation