https://file.aiquickdraw.com/mathbot/file/1727481346770m2wuhads.jpg

The image shows a binary number \( (10110)_2 \) that needs to be converted into its decimal (base 10) equivalent.

To convert a binary number to a decimal number, we multiply each bit by 2 raised to the power of its position, starting from 0 on the right:

\[
(10110)_2 = 1 \cdot 2^4 + 0 \cdot 2^3 + 1 \cdot 2^2 + 1 \cdot 2^1 + 0 \cdot 2^0
\]

Calculating each term:

\[
1 \cdot 2^4 = 16
\]
\[
0 \cdot 2^3 = 0
\]
\[
1 \cdot 2^2 = 4
\]
\[
1 \cdot 2^1 = 2
\]
\[
0 \cdot 2^0 = 0
\]

Adding them together:

\[
16 + 0 + 4 + 2 + 0 = 22
\]

Therefore, \( (10110)_2 = 22_{10} \).

Would you like more details on this process or have further questions? Here are some related topics you might explore:

1. How do you convert decimal numbers to binary?
2. What is the significance of base 2 (binary) in computer science?
3. How does the binary system compare to other number systems like octal and hexadecimal?
4. Can negative binary numbers be represented, and if so, how?
5. How does floating-point representation work in binary?

**Tip**: Always start from the rightmost digit (least significant bit) when converting from binary to decimal!

What is the decimal equivalent of the binary number (10110)_2?

Learn how to convert the binary number (10110)_2 into its decimal form. This problem involves understanding number systems, specifically binary and decimal, and follows a step-by-step conversion process. Suitable for students in Grades 5-8.

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