c++ - What is a good data structure for processing boolean algebra equations? -

i'm creating program calculate truth values boolean algebra equation. need find data structure able correctly process order of operations of equation involving and, or, not, , parentheses well. equation typed in user.

any type of "order of operation" objects held in trees. this:

• you process textual representation finding highest priority items first
• each simple statement (true or false example) put node
• you have different types of nodes different operations
• the nodes inserted other nodes, make complex statements

a final tree representation may end looking this:

     or   ___|__   |    | true  ,     ___|___     |     |  false   not           |          true 

that represent statement:

true or (false , not true)