Convert the binary value 110000, start subscript, start subscript, 2, end subscript, end subscript1100002​​ into decimal.

To convert the binary value \( 110000_2 \) into decimal, we break it down by powers of 2:

\[
110000_2 = 1 \cdot 2^5 + 1 \cdot 2^4 + 0 \cdot 2^3 + 0 \cdot 2^2 + 0 \cdot 2^1 + 0 \cdot 2^0
\]

Now, calculating each term:

\[
1 \cdot 2^5 = 32
\]
\[
1 \cdot 2^4 = 16
\]
\[
0 \cdot 2^3 = 0
\]
\[
0 \cdot 2^2 = 0
\]
\[
0 \cdot 2^1 = 0
\]
\[
0 \cdot 2^0 = 0
\]

Adding them together:

\[
32 + 16 + 0 + 0 + 0 + 0 = 48
\]

Thus, the decimal equivalent of \( 110000_2 \) is \( 48 \).

Would you like more details or have any questions?

### Related Questions:
1. How do you convert decimal numbers to binary?
2. What is the decimal value of \( 101101_2 \)?
3. How do binary numbers work in computer memory?
4. What is the process to convert binary numbers into hexadecimal?
5. Can you convert \( 110000_2 \) into octal?

### Tip:
When converting binary to decimal, remember that each digit represents a power of 2, starting from 0 on the right.

Convert the binary value 110000_2 into decimal.

Learn how to convert the binary number 110000_2 to its decimal equivalent with a detailed breakdown of powers of two. This problem introduces binary to decimal conversion and covers key concepts such as positional notation in number systems. Suitable for students in Grades 6-8.

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