Convert decimal 327 to binary form and show your work. (10 points) 

To convert the decimal number 327 to its binary form, follow these steps:

### Step 1: Divide by 2 and record remainders.
Keep dividing the number by 2, and record the remainder until the quotient becomes 0. The binary number will be the sequence of remainders read from bottom to top.

1. \( 327 \div 2 = 163 \) with a remainder of **1**
2. \( 163 \div 2 = 81 \) with a remainder of **1**
3. \( 81 \div 2 = 40 \) with a remainder of **1**
4. \( 40 \div 2 = 20 \) with a remainder of **0**
5. \( 20 \div 2 = 10 \) with a remainder of **0**
6. \( 10 \div 2 = 5 \) with a remainder of **0**
7. \( 5 \div 2 = 2 \) with a remainder of **1**
8. \( 2 \div 2 = 1 \) with a remainder of **0**
9. \( 1 \div 2 = 0 \) with a remainder of **1**

### Step 2: Write the remainders from bottom to top.
The binary form of 327 is obtained by reading the remainders from bottom to top:

\[ 327_{10} = 101000111_2 \]

Thus, the decimal number 327 in binary is **101000111**.

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Would you like further clarification or more details on any of the steps? Here are some related questions to explore this concept further:

1. How can you convert a larger decimal number to binary?
2. What is the binary representation of decimal 255?
3. How can binary numbers be used in digital electronics?
4. What is the significance of leading zeros in binary numbers?
5. How do you convert a binary number back to decimal?

**Tip:** When converting to binary, always remember to write down the remainders from bottom to top.

Convert decimal 327 to binary form and show your work. (10 points)

Learn how to convert the decimal number 327 to its binary equivalent using the division by 2 method. This step-by-step solution demonstrates how to obtain the binary form 101000111. Suitable for students in Grades 5-7.

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