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Graham Laseter
85 PointsWhat number does 00000001 represent?
.
3 Answers
Alexander Davison
65,469 PointsThe answer is 1.
This is because 2 to the 0th power equals 1.
// 00000001 represents...
0^7 + 0^6 + 0^5 + 0^4 + 0^3 + 0^2 + 0^1 + 2^1 // This equals 1 because any number to the zeroth power equals 1.
As you see, if the bit is 0, you use 0 as the base (0 to any power is always 0) and the position of the bit at the exponent. If the bit is 1, you use 2 as the base. You take all the results of the powers and add them up and you get the result.
Another example:
// 0011 respsents...
0^3 + 0^2 + 2^1 + 2^0 // This equals 3 because 2^1 is 2 and 2^0 is 1 and the sum of them is 3.
I hope this helps. ~Alex
Eric Griswold
Courses Plus Student 5,303 Points1
Peter Gess
16,553 PointsIt is 1