Given a 2-bit number expressed as N. The input to your circuit is N. Now compute the output of the circuit to be N^2 + 1. Create a combinational circuit that computes the output N^2 + 1. First decide how many output bits you need. Then create a truth table that shows the value of the output for each input. The output needs to be expressed as a binary number. Write down the optimized Boolean expression for each output column Given the following functions: F1 = X Y + X Y F2= X Y + X Y Show how you can implement these two functions using a 2-to-4 decoder shown below. Draw one decoder per function, and clearly label the inputs, outputs selected, and combinational logic applied to the outputs. You may use OR gates. You should select the right inputs to the OR gates and label the outputs