PRE-LAB Pre-lab work must be completed individually prior to the lab session. The pre-lab for this lab assignment will constitute 40% of your lab grade. You must deliver a hard copy documenting your individually per- formed pre-lab work to your lab instructor at the start of your scheduled lab session. Task 1 All-NAND Realizations Consider realization of the following logic gates using only 2-input NAND gates: (a) NOT gate and (b) 2- input XOR gate. For each all-NAND realization, a) Draw the logic circuit diagram manually b) Derive the truth table manually c) Use the WinLogiLab WinBoolean utility to validate your design. Remember to save your work to a file and hard copy printout. d) Draw manually the physical circuit diagram using the 7400 I. Task 2 All-NOR Realizations Consider realization of following logic gates using only 2-input NOR gates: (a) 2-input AND gate and (b) 2-input OR gate. For each all-NOR realization, a) Draw the logic circuit diagram manually. b) Derive the truth table manually o Use the WinlogiL ab Winolea uity to validate your design. Remember to save your a file and hard copy printout d) Daw manually the physical circuit diagram using the 7402 IC Task 3 BCD-to-7-Segment Conversion Derive the truth table for the BC D-to-seven-segment code decoder (a truth table with 4 inputs and 7 outputs, where 6 out of 16 input combinations are invalid). Decide on how to handle outputs for illegal input com- binations and describe your choice in your discussion. Task 4 Use the WinLogiLab WinBoolean utility K-Map tool to obtain a minimal all-NAND realization for the BCD-to-seven-segment decoder Task 5 Use the WinLogiLab DigitalSim utility to simulate the logic functionality of minimal all-NAND realization for the BCD-to-seven-segment decoder. You will need to apply all 10 4-bit input combinations for all 10 valid decimal digits to perform the testing functional correctness of the logic circuit. Task 6 Interface (set up the connections between) the 7448 BCD-to-7-segment decoder IC with an LN516RK seven-segment display unit: outputs of the 7448 IC will need to be connected to inputs of the LN516RK