Convert the binary number 10010 to decimal

Mathematics

ScanSolve AI Answer

Answer

181018_{10}

Step-by-step solution

3 steps

To convert the binary number 10010210010_2 to decimal, we multiply each digit by its corresponding power of 2 and sum the results.

  1. Assign positional weights

    Starting from the rightmost digit, assign powers of 2 (from 202^0) to each position.
    1×24+0×23+0×22+1×21+0×201 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0

  2. Calculate the value for each position

    1×16=161 \times 16 = 16
    0×8=00 \times 8 = 0
    0×4=00 \times 4 = 0
    1×2=21 \times 2 = 2
    0×1=00 \times 1 = 0

  3. Sum the values

    16+0+0+2+0=1816 + 0 + 0 + 2 + 0 = 18

    The decimal equivalent of 10010210010_2 is:

    181018_{10}
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