It can be used in communication systems e.g. MUX can be used to realize a Boolean function2. For ex in expression of the AB+AC+BC, the term BC is redundant and can beeliminated using Consensus theorem.Give Applications of MUX?Applications:1. The theorem used for this simplification is calledconsensus theorem. State and prove consensus theorem in Boolean algebra?In simplification of Boolean expression, the redundant term in an expression can beeliminated to form the equivalent expression. However, if forevery pair of states si, sj of a sequential machine, there eights an input sequence which takes Mfrom Si to Sj then sequential machine M is said to be strongly connected.101. Define strongly connected machine?In a sequential machine many times certain subsets of states may not be reachable fromother subsets of states, even if the machine does not contain any terminal state. Define successorIn a state diagram, if an input sequence, x takes a machine from state si to state sj, then sj issaid to be the x - successor of si.100. What is Mealy circuit?When the output of the sequential circuit depends on both the present state of flip- flop andon the input, the sequential circuit is referred to as mealy circuit.99. What is moore circuit?When the output of the sequential circuit depends only on the present state of the flip-flop,the sequential circuit is referred to as moore circuit.98. What are the two models in synchronous sequential circuits.1. Bidirectional shift register shift register.95. Parallel in parallel out shift register 5. Thisfrees the circuit from the Lock out condition. Because from unusedstates which are not forced, the circuit may eventually arrive at a forced unused state. It is not always necessary to force all unused states into an initial state. This will force the counter froman unused state to the next state as initial state.2. The counter should be provided with an additional circuit. State the advantages and disadvantages of wired AND connection.Advantage is, Outputs of two gates can be tied together using wired-AND technique.Disadvantage is, Operating Speed is Low. Hence, the output is equivalent to the logical AND operation of the logic function performedby the gates.109. In wired AND connection, the output is high only when all the switches are open2. Explain the wired And connection?When the open collector outputs of two or more gates can be connected together, theconnection is called a wired AND.It is represented as:1. Operating speed is high11Disadvantages:Output of two gates cannot be tied together.108. External pull up resistor is not required2. Advantages and disadvantages of Totem pole output?Advantages:1.
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