The number 45 in binary can be converted by continuously dividing it by 2 and keeping track of the remainders. Let's work through the steps:

1. Divide 45 by 2 → quotient = 22, remainder = 1
2. Divide 22 by 2 → quotient = 11, remainder = 0
3. Divide 11 by 2 → quotient = 5, remainder = 1
4. Divide 5 by 2 → quotient = 2, remainder = 1
5. Divide 2 by 2 → quotient = 1, remainder = 0
6. Divide 1 by 2 → quotient = 0, remainder = 1

Now, reading the remainders from bottom to top, 45 in binary is:

45 in binary = 101101

Would you like a detailed explanation or have any questions?

Here are 5 related questions you might find helpful:

1. How do you convert a binary number back to decimal?
2. How do you add two binary numbers together?
3. What is the binary representation of 100?
4. How do you perform binary subtraction?
5. What is the binary representation of negative numbers using two's complement?

Tip: When converting decimal numbers to binary, always read the remainders from bottom to top after performing successive divisions by 2.