A seven segment decoder is typically used to determine which light emit-S0 S1 S2 S3 ting diodes in a seven segment display should illuminate to display a digit specified in binary coded decimal. ogisim includes such a seven segment display that you will use in this question. The decoder t in order from most significant bit to least significant bit, A3 A2 A1 A0. S1 The decoder produces as output a pattern of 7 bits, S6 S5 S4 S3 S2 S1 S0, which specifies which segments should illuminate. The figure on the right shows the relationship between the pins and the corresponding seg- s ments of the display. Note that there is an 8th pin, S7, which controls the decimal point and that we will not use in this assignment S2 ake s as input four binary bits, which we label S3 S6 In this question, Instead of decoding BCD, your decoder should produce letters A throughJ for binary bit patterns zero through 9, and can produce any output (i.e., we don't care) for binary bit patterns 10 through 15. Your decoder should produce exactly the patterns shown below S4 S5 S6 S7 1. Write out a truth table for your circuit and include this with vour written answers 2. Implement the 7 boolean functions in the provided logisim circuit file using only AND, OR and NOT gates provided in the built in library (it is also OK to use NAND and NOR gates and to negate inputs on gates). You may use any solution you wish, but you may find it easiest to use a sum of products approach, much like a PLA. Create your solution in the provided circuit file, as it already has a set of inputs and outputs defined. These input and output pins should not be moved so as to prevent the sub-circuit appearance from changing (right-most tool bar button in logisim) as this is important for testing Be sure to add your name and student number in your circuit