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:

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$$.