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Express the decimal number 83 in binary form
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Begin by writing down all the powers of 2 that are smaller than 83:

$2^6, 2^5, 2^4, 2^3, 2^2, 2^1, 2^0$

$64, 32, 16, 8, 4, 2, 1$

Starting with 64, which is the highest power of 2 that is less than 83, write 83 as the sum of powers of two, without repeats:

$83 = 64 + 19$

$= 64 + 16 + 3$

$= 64 + 16 + 2 + 1$

We are splitting 83 into parts that are powers of 2, without repeating any of them.
by Diamond (60,544 points)

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