Question

ECE 1552- Summer 2019 Homework 2: Solve all questions. HW is to be turned in as a PDF or word document on canvas. Show all working. Answers provided should be typed or written CLEARLY 1: Find a function to detect an error in the representation of a decimal digit in BCD. In other words, write an equation with value 1 when the inputs are any one of the six unused bit combinations in the BCD code, and value 0 otherwise 2: Design a Gray code-to-BCD code converter that gives output code 1111 for all invalid input combinations. Assume that the Gray code sequence for decimal numbers 0 through 9 is 0000, 0001, 0011, 0010, 0110, 0111, 0101, 0100, 1100, and 1101. All other input combinations should be considered to be invalid 3: Design a circuit to implement the following pair of Boolean equations: F = A(CE DE) + AD G B(CE DE) BC (Bonus: To simplify drawing the schematic, the circuit is to use a hierarchy based on the factoring shown in the equation. Three instances (copies) of a single hierarchical circuit component made up of two AND gates, an OR gate, and an inverter are to be used. Draw the logic diagram for the hierarchical component and for the overall circuit diagram using a symbol for the hierarchical component.) 4: Perform technology mapping to NAND gates for the circuit in Figure below: A C D F G F 5: Repeat question 4, but use NOR gates instead of NAND gates 6: Design a 4-to-16-line decoder 7: Design a 16-to-1-line multiplexer (using decoders, AND gates and OR gates) 8: Design a combinational circuit that accepts a 3-bit number and generates a 6-bit binary number output equal to the square of the input number.

Answer 1

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