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In the same way that the columns of a decimal number represent powers of ten (ones, tens, hundreds, thousands, ... or 100, 101, 102, 103, ...), the columns of a binary number represent powers of two (ones, twos, fours, eights, ... or 20, 21, 22, 23, ...).

In the number you're given, you have eight digits, so your leftmost column is multiplied by 27 and your rightmost column by 20. So you can rewrite the number like this:

1×27 + 0×26 + 1×25 + 1×24 + 1×23 + 0×22 + 1×21 + 1×20

= 1×128 + 0×64 + 1×32 + 1×16 + 1×8 + 0×4 + 1×2 + 1×1

= 128 + 0 + 32 + 16 + 8 + 0 + 2 + 1

= 187

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Q: How do you express binary number 10111011 in decimal?
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