1000101001 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.

29282726252423222120
5122561286432168421
1000101001
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) + (1 × 32) + (0 × 16) + (1 × 8) + (0 × 4) + (0 × 2) + (1 × 1) = 512 + 0 + 0 + 0 + 32 + 0 + 8 + 0 + 0 + 1 = 553

So, the decimal representation of the binary number1000101001 is 553.
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