To find the sum of \(10111_2\) and \(1011_2\), we'll follow these steps:

### Step 1: Convert both binary numbers to decimal.
- \(10111_2\) = \(1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 16 + 0 + 4 + 2 + 1 = 23_{10}\)
- \(1011_2\) = \(1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 8 + 0 + 2 + 1 = 11_{10}\)

### Step 2: Add the decimal equivalents.
- \(23_{10} + 11_{10} = 34_{10}\)

### Step 3: Convert the sum back to binary.
- \(34_{10} = 100010_2\)

Thus, the sum of \(10111_2 + 1011_2 = 100010_2\).

Would you like more details or have any questions about this process?

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Here are five related questions to explore further:
1. How do you subtract binary numbers?
2. What is the difference between binary addition and decimal addition?
3. How can you multiply two binary numbers?
4. How do you convert a decimal number to hexadecimal?
5. What is the purpose of binary numbers in computer science?

**Tip:** Binary addition follows the same basic principles as decimal addition, but it only involves two digits: 0 and 1, with carries when sums reach 2 or greater.

Explore how to add the binary numbers 10111_2 and 1011_2 with a detailed step-by-step solution. Learn key concepts such as binary to decimal conversion, binary addition, and converting results back to binary. This is ideal for students in Grades 6-8 learning about binary number systems.

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