1, Frosty the Snowman is in the running for mayor of Holiday Town. He needs 2 out...
Question:
1, Frosty the Snowman is in the running for mayor of Holiday Town. He needs 2 out of 3 of the Christmas Town Council Elves' votes to win the election. Design a 3-bit Majority Function (Voting Machine) that outputs a 1 if Frosty receives a majority vote. Provide the following:
Truth Table
Un-simplified POS equation
Un-simplified SOP equation
K-maps and simplified equations for the SOP solution.
Sketch the circuit using any basic gates.
Sketch the circuit using only NAND gates (Hint: Configure NAND gates to create other types of gates from Part e).
Sketch the circuit using a Decoder.
Sketch the circuit using a Multiplexer.
Explain your solutions.
2., COMBINATION LOCK: Design a combination lock controller as a Mealy Type finite state machine using D-Latches. The combination is entered as a sequence of a single-bit input, X. The combination is 1011. If this sequence is entered, the lock will open. From any state, an error will cause an alarm to sound. Three or more errors will cause an alarm and an asynchronous semi-permanent transition to a "Disabled" condition (Must be released by an external Master Reset signal, at which time it will transition to the Idle (Initial) state and the error count will be re-initialized to 0). Once the lock is open, pressing 0 will reset it to the beginning state otherwise the lock will remain open. Assume that the Clock signal is AND'ed with an "Enter" input to ensure that the controller only interprets deliberate input. Include State Transition Diagrams, State Transition Tables, Karnaugh Maps, Next State and Output equations, and a sketch of the circuit.
Basic Statistics For Business & Economics
ISBN: 9781259268939
6th Canadian Edition
Authors: Douglas A. Lind, William G Marchal, Samuel A. Wathen, Carol Ann Waite