  It is known that the $n$-dimensional hypercube $Q_n,$ for $n$ even, has a
decomposition into $k$-cycles for $k=n, 2n,$ $2^l$ with $2 \leq l \leq n.$ In
this paper, we prove that $Q_n$ has a decomposition into $2^mn$-cycles for $n
\geq 2^m.$ As an immediate consequence of this result, we get path
decompositions of $Q_n$ as well. This gives a partial solution to a conjecture
posed by Ramras and also, it solves some special cases of a conjecture due to
Erde.
