To convert the decimal number **102** to binary, follow these steps:

1. **Divide** the number by **2**.
2. **Record** the **remainder**.
3. **Repeat** with the quotient until the quotient is **0**.
4. The binary representation is the sequence of remainders read **from bottom to top**.

Let's perform the conversion:

\[
\begin{align*}
102 \div 2 &= 51 \quad \text{remainder: } 0 \\
51 \div 2 &= 25 \quad \text{remainder: } 1 \\
25 \div 2 &= 12 \quad \text{remainder: } 1 \\
12 \div 2 &= 6 \quad \text{remainder: } 0 \\
6 \div 2 &= 3 \quad \text{remainder: } 0 \\
3 \div 2 &= 1 \quad \text{remainder: } 1 \\
1 \div 2 &= 0 \quad \text{remainder: } 1 \\
\end{align*}
\]

Now, read the remainders from **bottom to top**:

\[
\text{Binary: } 1100110
\]

So, the binary representation of **102** is **1100110**.

Would you like more details or have any questions? 

Here are 5 related questions to consider:

1. How do you convert binary numbers back to decimal?
2. What is the binary representation of negative numbers?
3. How are floating-point numbers represented in binary?
4. What are the advantages of binary representation in computing?
5. How does binary addition work?

**Tip:** In binary, each digit represents a power of 2, starting from the rightmost digit as \(2^0\).

Understand how to convert the decimal number 102 to binary using a step-by-step division method. Learn the concepts of number systems and binary conversion, including detailed remainders and their significance. Suitable for students in Grades 5-7.

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