Final answer:
Without the diagram of the logic circuit, it is not possible to accurately determine the boolean expression that represents the output of the circuit from its inputs. The boolean expression for the logic circuit can be formulated using 'AND', 'OR', and 'NOT' operations, symbolized by *, +, and a bar respectively.
Step-by-step explanation:
The boolean expression for a logic circuit is typically given in the form of an equation that represents the logic operations required to achieve the output of the circuit based on its inputs. This is done using 'AND,' 'OR,' and 'NOT' operations, typically represented by *, +, and a bar over the variable respectively in boolean algebra. Without the diagram, we cannot accurately determine the boolean expression. If you could provide the diagram or further describe the configuration of the gates and their connections, we'd be able to assist you better.
The information provided also includes properties of boolean algebra such as commutative law which states that A + B = B + A and A * B = B * A, and the distributive law which is expressed by A(B + C) = AB + AC. Other statements from probability and electric circuits are unrelated to boolean expressions directly but exhibit the use of similar mathematical operations.