1000000110 Binary in Decimal
Step 1: Write Down Powers of 2
Write down the powers of 2 starting from the right, with the first digit corresponding to 20, the second to 21, the third to 22, and so on.
29 | 28 | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 |
512 | 256 | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 |
Step 2: Multiply and Sum
Multiply each binary digit by its corresponding power of 2 and sum the results.
(1 × 512) + (0 × 256) + (0 × 128) + (0 × 64) + (0 × 32) + (0 × 16) + (0 × 8) + (1 × 4) + (1 × 2) + (0 × 1) = 512 + 0 + 0 + 0 + 0 + 0 + 0 + 4 + 2 + 0 = 518
So, the decimal representation of the binary number1000000110 is 518.
Binary To Decimal Converter
Other examples of Binary to Decimal conversion
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