as Simon Brimmer, a radio detective who hosted a radio show and tried to outsmart the title character (Jim Hutton). From 1976 to 1980, he had a recurring role as Mr. Conners on the sitcom One Day at a Time, and he co-starred as Betty White's estranged husband on The Betty White Show (1977–1978). He appeared in season 2, episode 4 of Wonder Woman as a Nazi spy. In 1978, Hillerman also appeared in an episode of Little House on the Prairie called "Harriet's Happenings". In 1979, Hillerman performed on a television pilot for an American version of the British situation comedy Are You Being Served?, Beanes of Boston, as Mr. John Peacock, an American translation of the original British character, Captain Peacock. He is perhaps best remembered for his role as former British Army Sergeant Major Jonathan Higgins in Magnum, P.I. (1980–1988). He learned to speak in the character's educated middle/upper class English accent, known as Received Pronunciation or the King's/Queen's English, by listening to a recording of Laurence Olivier reciting Hamlet. He considered Higgins his favorite role, and described the character in a 1988 interview as "think[ing] he's the only sane character [in the show], and everyone else is stark raving mad." Hillerman recalled in 1984 that he was up for a role in the 1980 Buck Henry/Bob Newhart film First Family and "wanted the part very badly," and had he gotten the role, he would have turned down the role of Higgins. In 1982, Hillerman starred in the television pilot of Tales of the Gold Monkey, as a German villain named Fritz the Monocle. He hosted the 1984 David Hemmings-directed puzzle video Money Hunt: The Mystery of the Missing Link. In 1990, Hillerman returned to television as Lloyd Hogan in the sixth and final season of the sitcom The Hogan Family. That same year, he portrayed Dr. Watson to Edward Woodward's Sherlock Holmes in Hands of a Murderer. In 1993, he appeared in Berlin Break for one season. He played the role of Mac MacKenzie, a former spy and currently the proprietor of Mac's, a bar in West Berlin considered to be neutral territory during the Cold War. Mac teamed up with two jobless spies as investigators: Valentin Renko (Nicholas Clay), an ex-KGB agent, and Willy Richter (Kai Wulff), an ex-BND (West German secret service) operative. The show reunited him with Jeff MacKay, who portrayed "Mac" MacReynolds