help with this   Simplify the Boolean expression (A+B+C)(D+E)' + (A+B+C)(D+E) and choose the best answer.         D'E'     A'B'C'     D + E     A + B + C    Give the relationship that represents the dual of the Boolean property A + 1 = 1? (Note: * = AND, + = OR and ' = NOT)     A * A = A     A * 1 = 1     A + 0 = 0     A * 0 = 0

Find the Boolean expressions and use theorem 1.1.1 to show that the two circuits are equivalent

For the following question, you need to create a truth table, write the Boolean expression for each output based on the truth table, use K-map to simplify the expression if possible, and draw the logic diagram using AND, OR, NOT gate only. 1. Design a 3-bit shifter. a. A0, A1, A2, and S as inputs b. If S=0, then shift one bit to the left and add 0 to the last bit c. If S=1, then shift one bit to the right and add 0 to the first bit d. Y0, Y1, and Y2 as outputs