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It depends.

If you are using unsigned numbers, then the following assumption is made:

0b11 = 0b00000011,

in which case the answer is;

2^1 + 2^0 = 2 + 1 = 3

If you are using signed numbers, than a binary number in the form 0b11 would be interpreted as negative because the leading bit is equal to 1. For signed numbers, the '1' in the leading bit is extended, thus:

0b11 = 0b11111111

In order to interpret this number, negate the number by flipping the bits and adding 1:

0b11111111

0b00000000 (bits flipped)

0b00000001 (added one)

The positive representation of 0b11111111 is equal to 0b00000001, which is equal to 1, thus

0b11 = 0b11111111 = -1

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15y ago
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13y ago

10000011 = 1*27 + 0*26 + 0*25 + 0*24 + 0*23 + 0*22 + 1*21 + 1*20

= 27 + 21 + 20 = 128 + 2 + 1 = 131

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