Problem 2 Design an Excess-5-to-BCD code converter. Determine the simplest expression of the output signals W and Y in POS. Only the required output signals should be shown on your answer sheet. Clearly show truth table and maps to support your answer. Appropriately label all groups. Inputs (Excess-5 Code) T U Outputs (BCD Code) X Y minterm S V (m) Required format of the truth table in Problem 2. Input entries must be listed in ascending order. Show complete table/map entries and grid lines. NOTE: No other information should be shown on the table except those indicated above.

1. Gray code to Binary converter: Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one number to the next. (See Table 1). Design a combinational circuit with 4 inputs and 4 outputs that converts a four- bit gray code number into an equivalent four-bit Binary number. Use Karnaugh map technique for simplification. Use LogicWorks for pre-lab demonstrations. Select the library "7400dev.clf* in the Parts Palette and then select the XOR chip 74-86. This would give you a set of 4 XOR's as shown in Fig. 1, just like the hardware chip 74-86. You could use as many as needed from these XOR gates in your design. Get back to ALL LIBRARIES and select switches for the inputs and Binary Probes as indicators of the outputs. Verify your design in the pre-Lab. During the Lab construct the circuit and verify its operations.

Design a combinational circuit with the four inputs A,B.C, and D, and three outputs X, Y, and Z. When the binary input is odd number, the binary output is one lesser than the input. When the binary input is even number the binary output is one greate than the input. Implement the function using multiplexers with minimal input and select line.

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