  We consider the random walk on the hypercube which moves by picking an
ordered pair $(i,j)$ of distinct coordinates uniformly at random and adding the
bit at location $i$ to the bit at location $j$, modulo $2$. We show that this
Markov chain has cutoff at time $\frac{3}{2}n\log n$ with window of size $n$,
solving a question posed by Chung and Graham (1997).
