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Now that you understand the concepts of Boolean Algebra, here is how it works for your circuit. The OR gates add and the AND gate multiplies. Look at the output of the gates in the diagram below. The bar over the letter B means NOT or INVERTED.

Now here is the truth table from your circuit. You can follow the circuit to figure out what the output should be for any given input or you can use the Boolean expression for the circuit and substitute in your given values for A, B and C.