https://file.aiquickdraw.com/mathbot/file/1725543237343ivjo1l2m.jpg

The image shows the binary number \( 110111_2 \). 

To convert this binary number to its decimal (base 10) form, follow these steps:

1. Label each binary digit (bit) with a power of 2, starting from the right (least significant bit). Each position corresponds to \( 2^n \), where \( n \) is the position index (starting from 0 on the right).

\[
110111_2 = (1 \cdot 2^5) + (1 \cdot 2^4) + (0 \cdot 2^3) + (1 \cdot 2^2) + (1 \cdot 2^1) + (1 \cdot 2^0)
\]

2. Calculate each term:
\[
1 \cdot 2^5 = 32
\]
\[
1 \cdot 2^4 = 16
\]
\[
0 \cdot 2^3 = 0
\]
\[
1 \cdot 2^2 = 4
\]
\[
1 \cdot 2^1 = 2
\]
\[
1 \cdot 2^0 = 1
\]

3. Add the results:
\[
32 + 16 + 0 + 4 + 2 + 1 = 55
\]

Thus, the binary number \( 110111_2 \) is equivalent to \( 55_{10} \) in decimal.

Do you need further details or have any questions? Here are some related topics:

1. How do you convert decimal numbers to binary?
2. What is the significance of each bit in a binary number?
3. Can binary numbers be used to represent negative values?
4. How do computers use binary numbers for calculations?
5. What is the difference between binary, hexadecimal, and octal systems?

**Tip:** Always start binary conversions by assigning powers of 2, from right to left, for accuracy!

Convert the binary number 110111_2 to its decimal form.

Learn how to convert the binary number 110111_2 to its decimal equivalent. This problem involves applying the positional number system and calculating powers of 2, resulting in a decimal value of 55. Suitable for students in Grades 6-8.

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