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The given problem asks to convert the binary (base 2) number `101110` to a decimal (base 10) number.

Here’s the step-by-step conversion:

1. Write out the binary number: \( 101110_2 \)
2. Assign powers of 2 to each digit from right to left:
   \[
   101110_2 = 1 \cdot 2^5 + 0 \cdot 2^4 + 1 \cdot 2^3 + 1 \cdot 2^2 + 1 \cdot 2^1 + 0 \cdot 2^0
   \]
3. Evaluate the powers of 2:
   \[
   = 1 \cdot 32 + 0 \cdot 16 + 1 \cdot 8 + 1 \cdot 4 + 1 \cdot 2 + 0 \cdot 1
   \]
4. Add the values:
   \[
   = 32 + 0 + 8 + 4 + 2 + 0 = 46
   \]

Thus, the decimal (base 10) equivalent of `101110_2` is **46**.

Would you like a detailed explanation on any step?

Here are 5 related questions to expand your understanding:
1. How do you convert a binary number with more digits to a decimal number?
2. What is the reverse process of converting a decimal number to binary?
3. How are binary numbers used in computing systems?
4. Can binary numbers represent negative values, and how?
5. What is the significance of binary arithmetic in digital electronics?

**Tip:** Remember, each binary digit (bit) represents a power of 2, starting from \(2^0\) on the right.

Convert the following base 2 numeral to a base 10 numeral: 101110 (Base 2).

Learn how to convert the binary number 101110 (base 2) to its decimal (base 10) equivalent using powers of 2. This detailed solution explains each step, making it perfect for students in Grades 5-7.

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