i think it's the cerebrum
The part of the brain that controls digesting food is the brainstem, specifically the medulla oblongata and the pons. These regions regulate automatic processes like swallowing, peristalsis, and secretion of digestive enzymes in response to signals from the gastrointestinal tract.
The brain stem is the part that controls breathing, it is the stem that allows the respiratory system to work and help you breathe
brain stem
The part of the brain called the Cnifiliatispin controls all testing of heat conditions.
To the extent that there can be said to be such a thing as a "part of the brain that controls hope", it's probably the prefrontal cortex.
Action potential in the brain
brain stem
Action potential in the brain
The occiptital cortex (in the posterior, or back, part of the brain.
medulla
cerebrum
The cerebrum.