The rearrangements of both the 1-butyl and 2-butyl carbocations to the tert-butyl carbocation occur rapidly in super

Question:

The rearrangements of both the 1-butyl and 2-butyl carbocations to the tert-butyl carbocation occur rapidly in super acid solution. Both of these rearrangements proceed through several steps and must involve an unfavorable secondary carbocation to primary carbocation rearrangement. Show the steps in the rearrangement of the 1-butyl carbocation to the tert-butyl carbocation.