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The number 678 in binary is the ten-digit number 1010100110.
(10101 00110)
The digits in a binary number are exponents of 2 rather than 10, so that for a ten-digit number in binary, the digit places represent
512, 256, 128, 64, 32, 16, 8, 4, 2, 1 instead of increasing values of 10.
1010100110 = 512 + (0x256) + 128 + (0x64) + 32 + (0x16) + (0x8) + 4 + 2 + (0x1) = 678
This was determined using the subtraction method:
678 - 512 = 166 (1)
no 256 (0)
166 - 128 = 38 (1)
no 64 (0)
38 - 32 = 6 (1)
no 16 (0)
no 8 (0)
6 - 4 = 2 (1)
4 - 2 = 0 (1)
no 1 (0)
= 1010100110
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