\begin{align} x[n] &=\begin{cases} 1& \text{for}\quad n \ge 0\\ 0& \text{otherwise} \end{cases}\\ h[n] &= \delta[n] - \delta[n-1]\\ y[n] &= x[n]*h[n] \end{align}
Find the values of $y[-1]$, $y[0]$, $y[1]$, $y[2]$.
I thought $\delta[0] = 1$ and $\delta[n] = 0$ otherwise, and that $y[n] = x[k]h[n-k]$:
\begin{array}{|c|c|c|c|c|c|}\hline n&x[n]&d[n]&d[n-1]&h[n]&y[n]\\\hline -1& 0 & 0 & 0 & 0&0\\\hline 0&1&1&0&1&1\\\hline 1& 1 & 0 & 1 & -1&-1\\\hline 2& 1 & 0 & 0 & 0&0\\\hline \end{array}
So I put $\text{ 0 1 -1 0 }$ as my answer but apparently that's wrong. What did I mess up? Did I misinterpret the meaning of $\delta[n]$?