In the equation below, Solve for x if all the numbers are in base 2: (frac{11}{x}) = (frac{1000}{x + 101})
-
A.
101 -
B.
11 -
C.
110 -
D.
111 -
E.
10
Correct Answer: Option B
Explanation
(frac{11}{x}) = (frac{1000}{x + 101}) = 11(x + 101)
1000x = 11x + 1111
1000x – 11x = 1111
101x = 1111
x = (frac{1111}{101})
x = 11