Anthony Bullman, who was sofa surfing, later told police that he couldn’t see the point in letting them know because he was regularly moving about.
Peterborough Magistrates’ Court was told on Monday that he had been located in West Midlands.
Bullman, 25, appeared in custody via video link from Parkside police station in Cambridge.
He pleaded guilty to between November 23 last year and January 9 failing to notify police that he was of no fixed address. He also admitted not complying with the terms of a post-sentence supervision order requirement on November 25.
Prosecutor Giles Beaumont said Bullman was convicted at Salisbury Crown Court on October 1 last year, receiving a jail term and being required to sign the sex offenders’ register for seven years.
Bullman was released from custody on October 3 and at Parkside he was told the notification requirements.
At one point he claimed he was staying at Daisy Close in Cambridge but police enquiries revealed he had never lived there.
“Police managed to speak to Mr Bullman on the phone. He was advised to complete the relevant paperwork. That was never done,” said Mr Beaumont.
He added: “He was spoken to yesterday and blamed his memory. He was sofa surfing and ended up in the West Midlands staying at a friend’s house.
“He said he knew that he should have notified the police but didn’t see the point as he was moving to a new place every few days.”
A probation officer told the hearing that there was evidence Bullman had been contacting 14 and 17-year-olds.
District Judge Ken Sheraton sentenced him to 14 days’ custody for each offence, to run concurrently. Bullman was ordered to pay £128 victim surcharge.