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!