Question 25
In “base $-2$” notation, digits are 0 and 1 only and the places go up in powers of $-2$. For example, 110110 stands for
$$1\times(-2)^5+1\times(-2)^4+0\times(-2)^3+1\times(-2)^2+1\times(-2)+0\times1=-14.$$
If the decimal number 2000 is written in base $-2$ notation, how many non-zero digits does it contain?
$$1\times(-2)^5+1\times(-2)^4+0\times(-2)^3+1\times(-2)^2+1\times(-2)+0\times1=-14.$$
If the decimal number 2000 is written in base $-2$ notation, how many non-zero digits does it contain?