**1.    CONVERT THE FOLLOWING DECIMAL NUMBER TO BINARY**

**226**

To convert the decimal number **226** to binary, we need to repeatedly divide the number by 2 and record the remainders.

Let's go through the process step by step:

1. Divide 226 by 2:  
   \( 226 \div 2 = 113 \) with a remainder of **0**.
   
2. Divide 113 by 2:  
   \( 113 \div 2 = 56 \) with a remainder of **1**.
   
3. Divide 56 by 2:  
   \( 56 \div 2 = 28 \) with a remainder of **0**.
   
4. Divide 28 by 2:  
   \( 28 \div 2 = 14 \) with a remainder of **0**.
   
5. Divide 14 by 2:  
   \( 14 \div 2 = 7 \) with a remainder of **0**.
   
6. Divide 7 by 2:  
   \( 7 \div 2 = 3 \) with a remainder of **1**.
   
7. Divide 3 by 2:  
   \( 3 \div 2 = 1 \) with a remainder of **1**.
   
8. Divide 1 by 2:  
   \( 1 \div 2 = 0 \) with a remainder of **1**.

Now, we read the remainders from bottom to top:  
**226** in decimal is equal to **11100010** in binary.

### Answer: **11100010**

Would you like more details on the conversion process, or have any questions? Here are some related questions for further exploration:

1. What is the binary representation of 150?
2. How do you convert a binary number back to decimal?
3. What is the largest binary number that can be represented in 8 bits?
4. How do you add two binary numbers together?
5. What is the significance of binary numbers in computer systems?

**Tip**: Always keep track of the remainders when dividing by 2, as they determine the binary digits in reverse order.

CONVERT THE FOLLOWING DECIMAL NUMBER TO BINARY: 226

Learn how to convert the decimal number 226 to binary with a step-by-step explanation using the division by 2 method. This tutorial covers the binary conversion process and is suitable for students in Grades 5-7.

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