Digital Systems: just solve part a in each of these three questions.

Design a logic circuit with two inputs and 1 output. Call your two inputs b0 and b1. If b0 and b1 are the same output a 1, otherwise output a 0. This is a 1 bit compare-for-equality circuit (CE circuit). Draw the truth table, use the standard truth table write a Boolean expression that corresponds to theta truth table. Draw and test the logic diagram. Draw the wiring diagram. Build and test the circuit. Design a logic circuit with two inputs and 4 outputs, with each outputs hooked up to an LED. Only the first LED should light up when the input values are 00. Only the next LED should Draw the truth table, use the standard truth table light up when the input values are 01.Only the following LED should light up for 10, and only the last LED should light up for 11, Thus for each input combination, you should have one LED only being lit Draw the truth table, use the standard truth table write a Boolean expression that corresponds to theta truth table. Draw and test the logic diagram. Draw the wiring diagram. Build and test the circuit. The circuit you designed in Question 2 is a 2-to-4 decoder. Design a 3-to-decoder by adding appropriate switches, gates and LEDs to your 2-to-decoder. Draw the truth table, use the standard truth table write a Boolean expression that corresponds to theta truth table. Draw and test the logic diagram. Draw the wiring diagram. Build and test the circuit. Pick 3 to 4 appropriate test values. Which values did you choose and what was the outcome