A binary trans person is a person who identifies either with just being a man or just being a woman.

Non-binary is a trans person whose gender identity does not mostly or fully lay between those two categories. Non-binary people might see themselves as between those two genders or as one part some of the time and the other the rest of the time, or might have an identity that is undefinable within the masculine-feminine spectrum.

Non-binary identities include bi-gender, adrogynine, gender fluid, and other harder to define identities.

Bigender is when one feels that one is two gender identities at the same time and includes terms like genderfluid where one’s identity can change depending on time:



https://www.them.us/story/what-does-it-mean-to-be-bigender

Binary could be described as either/or -but not both.

Non-binary folks recognize that gender traits are not always strictly masculine or feminine, that some (or most) people have some masculine gender traits and some feminine gender traits, in whatever combination, and that those traits are not concrete but can change for whatever reason (gender-fluid) such as how sometimes a "manly-man" can break down and cry over a sad movie (cheap example, I know).

And by 'traits' I mean whatever identifying characteristics society happens to attribute to males or females at any given time or place, like the wigs, make up, and high heels that identified upperclass men of the 1600s or the willing submissiveness that identified women in the 1950's