To convert the binary number `11011` into its decimal (base 10) equivalent, which is `55`, you can follow these steps:

### Step 1: Understand the positional values
Each digit in a binary number represents a power of 2, starting from the right (with the power of 0). For `11011`, the positional values are as follows:

- \( 1 \times 2^4 \)
- \( 1 \times 2^3 \)
- \( 0 \times 2^2 \)
- \( 1 \times 2^1 \)
- \( 1 \times 2^0 \)

### Step 2: Apply the powers of 2
Calculate the powers of 2 for each position:

- \( 1 \times 2^4 = 1 \times 16 = 16 \)
- \( 1 \times 2^3 = 1 \times 8 = 8 \)
- \( 0 \times 2^2 = 0 \times 4 = 0 \)
- \( 1 \times 2^1 = 1 \times 2 = 2 \)
- \( 1 \times 2^0 = 1 \times 1 = 1 \)

### Step 3: Add the results
Now, add the values from all positions:

\[
16 + 8 + 0 + 2 + 1 = 27
\]

So, the binary number `11011` equals `27` in decimal.

However, if you're trying to convert the binary number `110111` to decimal (this seems closer to 55), the process is:

### Example: Convert `110111` to decimal

1. Identify positional values:
   - \( 1 \times 2^5 = 32 \)
   - \( 1 \times 2^4 = 16 \)
   - \( 0 \times 2^3 = 0 \)
   - \( 1 \times 2^2 = 4 \)
   - \( 1 \times 2^1 = 2 \)
   - \( 1 \times 2^0 = 1 \)

2. Sum these:
   \[
   32 + 16 + 0 + 4 + 2 + 1 = 55
   \]

Thus, the binary number `110111` equals 55 in decimal.

Would you like further details or have any questions?

### 5 Related Questions:
1. How do you convert decimal numbers to binary?
2. What are binary numbers used for in computing?
3. Can you explain how to convert larger binary numbers to decimal?
4. How does the binary system relate to hexadecimal numbers?
5. What are positional number systems, and how do they work?

### Tip:
When converting binary to decimal, always start by writing the powers of 2 from right to left for each digit!

Learn how to convert the binary number 11011 into its decimal form. Understand the key concepts of binary-to-decimal conversion with step-by-step instructions, including the use of powers of 2. This problem is suitable for students in Grades 6-8.

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