What is the most accurate way to estimate how big a database would be with the following characteristics:
My rough estimate works out to: 1 byte for id, 32 bits each for the other two fields.
You're way off. Please refer to the MySQL Data Type Storage Requirements documentation. In particular:
A BIGINT is 8 bytes, not 1.
The storage required for a CHAR or VARCHAR column will depend on the character set in use by your database (!), but will be at least 32 bytes (not bits!) for CHAR(32) and 33 for VARCHAR(32).
You have not accounted at all for the size of the index. The size of this will depend on the database engine, but it's definitely not zero. See the documentation on the InnoDB row structure for more information.