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Binary is hydrogen + non-metal
Ternary is hydrogen + oxygen + non-metal (not all the time)

Common examples are:
Binary: HCl (hydrochloric), HBr (hydrobromic), HF (hydrofluoric), H2O (water)
Ternary: H2SO4 (sulphuric), HClO4 (perchloric)  

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Binary acids: hydrogen + nonmetal; hydrochloric acid (HCl), hydroiodic acid (HI), hydrofluoric acid (HF), hydrobromic acid (HBr), etc. 
Ternary acids (oxoacids): hydrogen + oxygen + nonmetal; sulphuric acid (H2SO4), phosphoric acid (H3PO4), nitric acid (HNO3), perchloric acid (HClO4), etc.
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