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.

Learn how to convert the decimal number 45 to binary using the successive division by 2 method. This step-by-step guide explains each division and remainder to arrive at the binary result of 101101. Perfect for students in Grades 6-8 looking to understand binary number systems.

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