Here's why:

* Carbon's Bonding Properties: Carbon has the unique ability to form long chains and complex structures by bonding with itself and other elements, including hydrogen. This allows for a vast diversity of organic molecules.

* Organic Chemistry: The branch of chemistry dedicated to studying the structure, properties, and reactions of carbon-containing compounds is called organic chemistry.

Exceptions:

While most carbon and hydrogen compounds are organic, there are a few exceptions:

* Carbon Dioxide (CO₂): This is a simple compound containing carbon and oxygen but is not considered organic.

* Carbon Monoxide (CO): Similar to CO₂, this is an inorganic compound.

* Carbonates and Bicarbonates: These compounds contain carbon, but their chemical properties are more closely related to inorganic compounds.

In summary: The vast majority of carbon and hydrogen compounds are considered organic due to carbon's unique bonding ability and the extensive field of organic chemistry dedicated to their study.