https://file.aiquickdraw.com/mathbot/file/1726211745305oxc4149o.jpg

The notebook page shows the conversion of binary numbers to decimal numbers. Let's break down each step as shown in the image:

**(a) Conversion of 110111₂ to decimal:**

1. The binary number 110111₂ is converted to decimal by expanding it using powers of 2:
   
   \(110111_2 = (1 \times 2^5) + (1 \times 2^4) + (0 \times 2^3) + (1 \times 2^2) + (1 \times 2^1) + (1 \times 2^0)\)

2. Calculating the powers of 2:
   
   \[
   = 32 + 16 + 0 + 4 + 2 + 1
   \]

3. Summing all the values:
   
   \[
   = 58
   \]

So, \(110111_2 = 58_{10}\).

**(b) Conversion of 11100011₂ to decimal:**

1. The binary number 11100011₂ is converted to decimal by expanding it using powers of 2:

   \(11100011_2 = (1 \times 2^7) + (1 \times 2^6) + (1 \times 2^5) + (0 \times 2^4) + (0 \times 2^3) + (0 \times 2^2) + (1 \times 2^1) + (1 \times 2^0)\)

2. Calculating the powers of 2:

   \[
   = 128 + 64 + 32 + 0 + 0 + 0 + 2 + 1
   \]

3. Summing all the values:

   \[
   = 227
   \]

So, \(11100011_2 = 227_{10}\).

Let me know if you want further details or if you have any questions!

### Related Questions:

1. How do you convert a decimal number to binary?
2. What is the significance of each digit in a binary number?
3. How can binary numbers be used in computer systems?
4. What is the process for converting binary numbers to hexadecimal?
5. How can you check if a binary number is correct after conversion?

**Tip:** Always double-check each step when converting between number systems to ensure accuracy, especially when dealing with larger binary numbers.

Convert binary numbers 110111₂ and 11100011₂ to decimal.

Learn how to convert the binary numbers 110111₂ and 11100011₂ to decimal. This guide provides a step-by-step breakdown using the powers of 2. Suitable for students in Grades 6-8.

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