Design a modified priority encoder that receives an 8-bit input, A7:0, and produces two 3-bit outputsm Y2:0 and Z 2:0 Y indicates the most significant bit of the input that is TRUE. Z indicates the second most significant bit of the input that is TRUE. Y should be 0 if none of the inputs are TRUE. Z should be 0 if no more than one of the inputs is TRUE. Give a simplified Boolean equation for each output.