I want to write a program to convert from decimal to negabinary.
I cannot figure out how to convert from decimal to negabinary.
I have no idea about how to find the rule and how it works.
Example: 7(base10)-->11011(base-2)
I just know it is 7 = (-2)^0*1 + (-2)^1*1 + (-2)^2*0 + (-2)^3*1 + (-2)^4*1.
The algorithm is described in http://en.wikipedia.org/wiki/Negative_base#Calculation. Basically, you just pick the remainder as the positive base case and make sure the remainder is nonnegative and minimal.
7 = -3*-2 + 1 (least significant digit)
-3 = 2*-2 + 1
2 = -1*-2 + 0
-1 = 1*-2 + 1
1 = 0*-2 + 1 (most significant digit)