Could boolean algebra be described as binary?
Binary options tend to have 2 instead of 10 as a base. Binary directly describes something composed of 2 things.
The answer is yes.

Is Garfield known for hating italian cuisine?
Garfield is well known for loving lasagna. Lasagna is a traditional Italian dish.
The answer is no.

Would a compass attuned to Earth's magnetic field be a bad gift for a Christmas elf??
Christmas elves work in Santa's workshop on the North Pole. Magnetic compasses point to the North Pole. If you are on the North Pole a compass will not work.
The answer is yes.

Was King Arthur at the beheading of Anne Boleyn?
King Arthur was a legendary British leader who, according to medieval histories and romances, led the defence of Britain against Saxon invaders in the late 5th and early 6th centuries. Anne Boleyn was beheaded May 19, 1536.
The answer is no.