Invariant: For each 0, count the number of 1s to its left; write $+1$ if this number is even and $-1$ if this number is odd. Sum the $+1$s and $-1$s. Operations (a) and (b) either add or remove a pair of a $+1$ and a $-1$. Operations (c) and (d) don't affect the parities of 1s to the left of any 0. Since the sequences have invariants $-2003$ and $+2003$, which are not equal, it's impossible to obtain one from the other.