Question: 1. Design a transistor circuit for a 3-input AND gate. 2. A NAND gate is a gate that produces no voltage only when both

1. Design a transistor circuit for a 3-input AND gate. 2. A NAND gate is a gate that produces no voltage only when both in- puts have voltage. In all other cases the gate outputs voltage. Give the truth table for the NAND gate. Use the three standard gates to construct a NAND gate. 3. Design a logic circuit to solve the following problem: Peter will go to the bank iff Richard does the shopping and Sally swepng up. Sally will sweep up iff Tom or Victor make the bed. Tom agrees to make the bed but Richard refuses to go shop- ping. ? What will Peter do. 4. Design a three-input circuit that puts out voltage only when voltage is supplied to exactly one of its inputs. 5. Design a circuit for the operator. 6. A 2-bit tester takes two 2-bit binary numbers and tests them for equality. (So it has 4 inputs.) If the two numbers are equal, then output 1 else output 0. Design a circuit for a 2-bit tester. 7. Extend the 2-bit tester to output whether the first number is smaller, equal to or greater than the second. 8. Use De Morgan's laws to build an OR gate using just AND and NOT gates.

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