10) Draw the symbol, Boolean equation, and truth table for (a) a three-input OR gate (b) a three-input exclusive OR (XOR) gate (c) a four-input XNOR gate 11) Simplify the following Boolean equation. Sketch a reasonably simple combinational circuit nplementing the simplified equation. Y = BC + ABC + BC 12) Draw a state machine that can detect when it has received the serial input sequence 01010. 13) A priority encoder has 2 N inputs. It produces an N-bit binary output indicating the most significant bit of the input that is TRUE, or if none of the inputs are TRUE. It also produces an output NONE that is TRUE if none of the inputs are TRUE. Design an eight-input priority encoder with inputs A 7:0 and outputs Y 2.0 and NONE. For example, if the input is 00100000, the output Yshould be 101 and NONE should be 0. Give a simplified Boolean equation for each output, and sketch a schematic