.A black box was given to two engineers who reverse-engineered its function . The box had three binary inputs (a,b,c) and one output (d). Each engineer however came up with different Boolean expressions describing the operation of the same black box! Your job is to determine if both expressions are equivalent. Use two different methods of proving/disproving their equivalence - one using a truth table and the second using Boolean identities to try to manipulate one to be the same as the other. Note: for the truth table method, don't just show the outputs are equal. For each row in the d(1) and d(2) columns, identify which product terms from the original expression are true. The first row is done for you to demonstrate this.

Part 1. A black box was given to two engineers who reverse-engineered its function. The box had three binary inputs (a,b,c) and one output (d). Each engineer however came up with different Boolean expressions describing the operation of the same black box! Your job is to determine if both expressions are equivalent. Use two different methods of proving/disproving their equivalence - one using a truth table and the second using Boolean identities to try to manipulate one to be the same as the other. Note: for the truth table method, don't just show the outputs are equal. For each row in the d(1) and d(2) columns, identify which product terms from the original expression are true. The first row is done for you to demonstrate this. The two expressions are: d(1)= a'c'+ab'+bc d(2)=b'c'+ac+a'b Are the expressions equivalent? Yes/No: Show your work below using the two methods described. Truth table method showing outputs d(1) and d(2. Output d(2) d(1) Inputs b 0 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 Boolean Express Method: is it possible to manipulate one of the expressions to be the same as the other? d(1) d(2)