Etymology
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binary (adj.)

"dual, twofold, double," mid-15c., from Late Latin binarius "consisting of two," from bini "twofold, two apiece, two-by-two" (used especially of matched things), from bis "double" (from PIE root *dwo- "two"). Binary code in computer terminology was in use by 1952, though the idea itself is ancient. Binary star in astronomy is from 1802.

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gender (n.)
Origin and meaning of gender

c. 1300, "kind, sort, class, a class or kind of persons or things sharing certain traits," from Old French gendre, genre "kind, species; character; gender" (12c., Modern French genre), from stem of Latin genus (genitive generis) "race, stock, family; kind, rank, order; species," also "(male or female) sex," from PIE root *gene- "give birth, beget," with derivatives referring to procreation and familial and tribal groups.

 The unetymological  -d- is a phonetic accretion in Old French (compare sound (n.1)). Also used in Latin to translate Aristotle's Greek grammatical term genos. The grammatical sense is attested in English from late 14c. Jespersen ("Philosophy of Grammar," 1924) defines grammatical gender by reference to the Indo-European distinction of masculine, feminine, neuter, "whether the division be based on the natural division into two sexes, or on that between animate and inanimate, or on something else."

The "male-or-female sex" sense of the word is attested in English from early 15c. As sex (n.) took on erotic qualities in 20c., gender came to be the usual English word for "sex of a human being," in which use it was at first regarded as colloquial or humorous. Later often in feminist writing with reference to social attributes as much as biological qualities; this sense first attested 1963. Gender-bender is from 1977, popularized from 1980, with reference to pop star David Bowie.

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gender (v.)
Origin and meaning of gender

"to bring forth," late 14c., from Old French gendrer, genrer "engender, beget, give birth to," from Latin generare "to engender, beget, produce" (see generation). Related: Gendered; gendering.

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binaural (adj.)

"pertaining to both ears," 1857, from Latin bini "twofold, two apiece" (see binary) + aural. In reference to sound reproduction from electronic recordings, 1933.

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cisgender (adj.)

also cis-gender, "not transgender," in general use by 2011, in the jargon of psychological journals from 1990s, from cis- "on this side of" + gender.

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unary (adj.)

1923, from Latin unus "one" (from PIE root *oi-no- "one, unique") on model of binary, etc.

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transgender (adj.)

also trans-gender, by 1974 in reference to persons whose sense of personal identity does not correspond with their anatomical sex, from trans- + gender (n.). Related: Transgendered.

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layperson (n.)

1972, gender-neutral version of layman.

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bit (n.2)

computerese word, 1948, coined by U.S. computer pioneer John W. Tukey, an abbreviation of binary digit, probably chosen for its identity with bit (n.1).

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binate (adj.)

"double, growing in pairs," 1807, from Latin bini "two by two, twofold, two apiece" (see binary) + -ate (2). Used especially in botany.

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