solve 1 and 3

1. Design a combinational circuit with three inputs and one output. (a) The output is 1 when the binary value of the inputs is less than 3. The output is o otherwise. (b) The output is 1 when the binary value of the inputs is an even number. 2. Design a combinational circuit with three inputs, x, y , and z, and three outputs, A, B, and c.when the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4,5, 6, or 7, the binary output is two less than the input. 3. Consider a combinational circuit whose output is equal to 1 if the input variables have more 1's than o's. The output is o otherwise. Design a 3-input circuit by finding the circuit's truth table, Boolean equation, and a logic diagram