The difference between Heed and Notice

When used as nouns, heed means careful attention, whereas notice means the act of observing.

When used as verbs, heed means to guard, protect, whereas notice means to remark upon.

check bellow for the other definitions of Heed and Notice

Heed as a verb (obsolete):

To guard, protect.
Heed as a verb (transitive):

To mind; to regard with care; to take notice of; to attend to; to observe.
Heed as a verb (intransitive, archaic):

To pay attention, care.

Notice as a noun (mostly, uncountable):

The act of observing; perception.

Examples:

"He took no notice of the changes, and went on as though nothing had happened."
Notice as a noun (countable):

A written or printed announcement.

Examples:

"Shall we post a notice about the new policy?"

"I always read the death notices in the paper."
Notice as a noun (countable):

A formal notification or warning.

Examples:

"The sidewalk adjacent to the damaged bridge stonework shall be closed until further notice."
Notice as a noun (chiefly, uncountable):

Advance notification of termination of employment, given by an employer to an employee or vice versa.

Examples:

"I gave her her mandatory two weeks' notice and sacked her."

"I can't work here any longer. I'm giving notice."
Notice as a noun (countable):

A published critical review of a play or the like.
Notice as a noun (uncountable):

Prior notification.

Examples:

"I don't mind if you want to change the venue; just give me some notice first, OK?"
Notice as a noun (dated):

Attention; respectful treatment; civility.

Notice as a verb (transitive, now, rare):

To remark upon; to mention.
Notice as a verb (transitive):

To become aware of; to observe.

Examples:

"Did you notice the flowers in her yard?"
Notice as a verb (obsolete, transitive):

To lavish attention upon; to treat (someone) favourably.
Notice as a verb (intransitive):

To be noticeable; to show.