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To convert the base 10 numeral 54 to a base 2 numeral, we follow these steps:

1. Divide 54 by 2:
   \[
   54 \div 2 = 27 \text{ remainder } 0
   \]
2. Divide 27 by 2:
   \[
   27 \div 2 = 13 \text{ remainder } 1
   \]
3. Divide 13 by 2:
   \[
   13 \div 2 = 6 \text{ remainder } 1
   \]
4. Divide 6 by 2:
   \[
   6 \div 2 = 3 \text{ remainder } 0
   \]
5. Divide 3 by 2:
   \[
   3 \div 2 = 1 \text{ remainder } 1
   \]
6. Finally, divide 1 by 2:
   \[
   1 \div 2 = 0 \text{ remainder } 1
   \]

Now, we collect the remainders from bottom to top: \(110110_2\).

Thus, the base 2 numeral for 54 is **110110**.

Would you like more details on the conversion process? Here are a few questions for further exploration:

1. How can you convert other base 10 numbers to base 2?
2. What is the significance of binary (base 2) in computing?
3. How does base conversion work in the opposite direction (binary to decimal)?
4. Can this conversion method be applied to other number bases (e.g., base 8 or base 16)?
5. What is the largest number that can be represented using 8 bits in binary?

**Tip:** You can always check your base 2 conversion by summing the powers of 2 corresponding to the binary digits!

Convert the following base 10 numeral (54) to a base 2 numeral.

Learn how to convert the base 10 numeral 54 to base 2 using repeated division by 2. This step-by-step guide walks through each division and explains how to collect remainders to form the binary number. Perfect for students in Grades 5-8 learning about number systems.

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