How do you convert 11111111011 to decimal?

Answer 1

The Windows calculator (in scientific mode), as well as most scientific calculators, can do conversions from binary to decimal for you.

If you want to do it yourself:

11111111011 (base 2) to decimal.

The standard way would be (starting from the right side:

1 * 20 + 1*21 + 0*22 + 1*23 + .....

But how about this: if you were to add 1012 to this number, you would get:

1000000000002 (a one and 11 zeros).

which is 211 = 2048 (decimal). Now since we added (1012 = 5 decimal) to get 2048, then the answer is 2048 - 5 = 2043