Name:1. When a HIGH is on the output of the decoding circuit below, what is the binary code appearing on the inputs? 2. A0A1A2A3Number Displayed dxxj0A 7-segment decoder/driver drives the display below. Using the waveforms shown, determine the sequence of digits that appear on the display. 3. Construct a truth table for an active-LOW output BCD (1-of-10) decoder. B3B2B1B0Y0Y1Y2Y3Y4Y5Y6Y7Y8Y9                        4.Derive the truth table for the Y output in the diagram below. ABSY     4. Derive the Boolean equation for the Y output in Problem 4. AS’B+ AS’B’ +AS’B + ASB 5. YMUXS0S1D0D1D2D3For the multiplexer shown below, determine the output for the following input state: D0 = 0, D1 = 1, D2 = 1, D3 = 0, S0 = 1, S1 = 0. 6. Determine the decimal value of each signed binary number in the 2’s complement form: a. 10011001        Decimal # b. 01110100        Decimal #: c. 10111111        Decimal #: 7. Explain the concept of a priority encoder. 8. Perform the following computation using 2’s complement notation and binary addition. Please show all your steps.55 – 21 = 9. Will the following circuit function properly as a half-adder? You may wish to fill out a truth table to compare it to that of the half-adder.A0B0ˆ‘0Cout