To convert the binary number \( 1110010101_2 \) to decimal:

We use positional notation, where each digit is multiplied by \( 2^n \), where \( n \) is its position from right (starting at 0):

\[
1110010101_2 = 1 \times 2^9 + 1 \times 2^8 + 1 \times 2^7 + 0 \times 2^6 + 0 \times 2^5 + 1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0
\]

Calculating:

\[
= 1 \times 512 + 1 \times 256 + 1 \times 128 + 0 \times 64 + 0 \times 32 + 1 \times 16 + 0 \times 8 + 1 \times 4 + 0 \times 2 + 1 \times 1
\]
\[
= 512 + 256 + 128 + 16 + 4 + 1 = 917
\]

So, \( 1110010101_2 \) in decimal is **

Learn how to convert the binary number 1110010101 to decimal using positional notation. This problem covers key mathematical concepts in number conversion and is suitable for students in Grades 6-8. Follow the detailed step-by-step solution to understand how binary numbers work.

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