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Start your free trialJeeahn Kim
93 Pointswhat is 00000111?
we thought it was 6. But we got it wrong and we need some help. We don't really understand.
5 Answers
james south
Front End Web Development Techdegree Graduate 33,271 Points111 is 7. it is 1 2^2 (4) plus 1 2^1 (2) plus 1 2^0 (1). 4 +2 +1 = 7. 6 would be 110.
Tri Pham
18,671 PointsNo its 7. Since it is base 2, all the digits goes from 0 to 1. You can more formally calculate it by finding the powers of 2 and multiplying it by the digit there and adding them all up.
First 3 powers of 2:
2^0 = 1
2^1 = 2
2^2 = 4
so 101 would be 1 x (2^2) + 0 x (2^1) x 1 x (2^0) = 1 x (4) + 0 x (2) + 1 x (1) = 4 + 0 + 1 = 5
and 111 would be 1 x (2^2) + 1 x (2^1) x 1 x (2^0) = 1 x (4) + 1 x (2) + 1 x (1) = 4 + 2 + 1 = 7
But you could have just counted it :).
000 = 0
001 = 1
010 = 2
011 = 3
100 = 4
101 = 5
110 = 6
111 = 7
Jeeahn Kim
93 Pointsthank you very much for all of the responses. It helped a lot.
Sandra Norris
3,895 PointsOne 1 + One 2 + One 4 = 7 simplified