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Morris Mano Edition 3 Exercise 9 Question 24 (Page No. 396)
The boolean functions for the input of SR latch are as follows. Obtain the circuit diagram using a minimum number of NAND gates. $S = x _1’x _2’x _3 + x _1x _2x _3$. $R = x _1x _2’ + x _2x _3’$
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Morris Mano Edition 3 Exercise 9 Question 23 (Page No. 396)
Draw the logic diagram of the product of sum expression $ Y = (x _1 + x _2’)(x _2 + x _3)$ Show that there is a static 0 hazard when $x _1$ and $x _3$ is equal to zero and $x _2$ goes from 0 to 1.Find a way to remove hazard by adding one more OR gate.
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Morris Mano Edition 3 Exercise 9 Question 22 (Page No. 396)
Find a circuit that has no static hazard and implements the boolean function: F(A,B,C,D) = $\sum(0,2,6,7,8,10,12)$
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Morris Mano Edition 3 Exercise 9 Question 18 (Page No. 395)
Merge each of the primitive flow table shown in the figure. Proceed as follows: Find all compatible pairs by means of implication table. Find the maximal compatibles by means of a merger diagram FInd the minimal set of compatibles that covers all the states and is closed.
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Morris Mano Edition 3 Exercise 9 Question 17 (Page No. 395)
Reduce the number of states in the state table listed below. Use an implication table.
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Morris Mano Edition 3 Exercise 9 Question 16 (Page No. 395)
Using the implication table method, show that the state table listed in the figure cannot be reduced any further.
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Morris Mano Edition 3 Exercise 9 Question 15 (Page No. 395)
Assign output values to the don’t care states in the flow tables in the figure below in such a way as to avoid transient output places
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Morris Mano Edition 3 Exercise 9 Question 14 (Page No. 394)
It is necessary to design an asynchronous sequential circuit with two inputs, $x _1 and x _2$, and one output $z$. Initially, both input and output are zero. when $x _1 and x _2$ becomes 1, z becomes 1. when the ... for the circuit and show that it can be reduced to the flow table shown in the figure complete the design of the circuit.
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Morris Mano Edition 3 Exercise 9 Question 13,25 (Page No. 394)
A traffic light is installed at the junction of the railroad and a road. The traffic light is controlled by two switches in the rails placed one mile apart on either side of the junction. A switch is turned on when a ... circuit. show that the flow table can be reduced to four rows Complete the circuit specified in the above problem.
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Morris Mano Edition 3 Exercise 9 Question 12 (Page No. 394)
Obtain a primitive flow table for a circuit with two inputs, $x _1 and x _2$ and two outputs $y _1 and y _2$, that satisfy the following four conditions. When $x _1x _2 = 00$, the output is $z _1z _2 = 00$. when $x _1 = 1$ and ... $x _1$ changes from 0 to 1, the output is $z _1z _2$ = 10. otherwise the output does not change.
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Morris Mano Edition 3 Exercise 9 Question 11 (Page No. 394)
Implement the circuit defined below with NAND SR latch. An asynchronous sequential circuit has two internal states and one output. The excitation and output functions describing the circuit are as follows. $Y _1 = x _1x _2 + x _1y _2’ + x _2’y _1$ $Y _2 = x _2 + x _1y _1’y _2 + x _1’y _1$ $z = x _2 + y _1$
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Morris Mano Edition 3 Exercise 9 Question 10 (Page No. 394)
Implement the circuit with defined below with NOR SR latch. an asynchronous circuit is described by the following excitation and output functions: $Y = x _1x _2’ + (x _1 + x _2’)y$ $z = y$
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Morris Mano Edition 3 Exercise 9 Question 9 (Page No. 394)
For the asynchronous sequential circuit shown in the figure: Derive the boolean functions for the outputs of two SR latches $Y _1 and Y _2$. Note that the S input of the second latch is $x _1’y _1’$. Derive the transition table and output map of the circuit.
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Morris Mano Edition 3 Exercise 9 Question 8 (Page No. 394)
Convert the circuit of the figure to the asynchronous sequential circuit by removing the clockpulse(CP) and changes the flipflops to the SR latches. Derive the transition table and output map of the modified circuit.
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Morris Mano Edition 3 Exercise 9 Question 7 (Page No. 394)
Analyze the T flipflop shown in the figure. Obtain the transition table and show that the circuit is unstable when both T and CP are equal to 1.
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Morris Mano Edition 3 Exercise 9 Question 6 (Page No. 393)
Investigate the transition table of the figure and determine all the race conditions whether they are critical or not critical. Also, determine whether there are any cycles.
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Morris Mano Edition 3 Exercise 9 Question 5 (Page No. 393)
Convert the flow table of the figure into a transition table by assigning the following binary values to the states: a = 00, b = 11, and c = 10. Assign values to the extra fourth state to avoid critical races. Assign output to the don’t care states to avoid momentary false output. Derive the logic diagram of the circuit.
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Morris Mano Edition 3 Exercise 9 Question 4 (Page No. 392)
An asynchronous sequential circuit has two internal states and one output. The excitation and output functions describing the circuit are as follows. $Y _1 = x _1x _2 + x _1y _2' + x _2'y _1$ ... Draw the logic diagram of the circuit. Derive the transition table and the output map. Obtain a flow table for the circuit.
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Morris Mano Edition 3 Exercise 9 Question 3 (Page No. 392)
an asynchronous circuit is described by the following excitation and output functions: $Y = x _1x _2’ + (x _1 + x _2’)y$ $z = y$ Draw the logic diagram of the circuit. Derive the transition table and the output map. obtain a twostate flow table. Describe in the words the behavior of the circuit.
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Morris Mano Edition 3 Exercise 9 Question 2 (Page No. 392)
Derive a transition table for the asynchronous sequential circuit given in the figure. Determine the sequence of the internal states $y _1Y _2$ for the following sequence of the input $x _1x _2$: 00,10,11,01,11,10,00.
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Morris Mano Edition 3 Exercise 9 Question 1 (Page No. 392)
Explain the difference between synchronous and asynchronous sequential circuits. Define fundamental mode operation. Explain the difference between stable and unstable states. what is the difference between an internal state or a total state?
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Morris Mano Edition 3 Exercise 7 Question 37 (Page No. 305)
An integrated circuit ram chip has a capacity of 1024 words of 8 bits each ($1K \times 8$) How many addresses and the data lines are there in the chips? How many chips are needed to construct a $16K \times 16$ ram? How many ... $1 \times 8$ chips? What are the input to the decoder and where are its output connected?
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Morris Mano Edition 3 Exercise 7 Question 36 (Page No. 305)
A computer uses RAM chips of $1024 \times 1$ capacity. how many chips are needed and how should there address line should be connected to provide a memory capacity of 1024 bytes. how many chips are needed to provide a memory capacity of 16K bytes? Explain in the words how chips are connected.
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Morris Mano Edition 3 Exercise 7 Question 35 (Page No. 305)
How many $128 \times 8$ RAM chips are needed to provide a memory capacity of 2048 bytes? How many lines of the address must be used to access 2048 bytes? How many of these lines are connected to the address inputs of all the chips? How many lines must be decoded for the chip select inputs?Specify the size of the decoder?
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Morris Mano Edition 3 Exercise 7 Question 34 (Page No. 305)
Word number 535 in the memory shown in the figure contains the binary equivalent of 2209. List the 10 bit address and 16bit memory content of the word.
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Morris Mano Edition 3 Exercise 7 Question 33 (Page No. 305)
The following memory units are specified by the number of words times the number of bits per word. How many address lines and Input output data lines are needed in each case given below? $2K \times 16$; $64K \times 8$; $16M \times 32$; $96K \times 12$;
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Morris Mano Edition 3 Exercise 7 Question 32 (Page No. 305)
Construct a Johnson counter for ten timing signals.
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Morris Mano Edition 3 Exercise 7 Question 31 (Page No. 305)
Complete the design of Johnson counter of the figure showing the output of the eight timing signals using eight AND gates.
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Morris Mano Edition 3 Exercise 7 Question 30 (Page No. 305)
Show the circuit and the timing diagram for generating six repeated timing signals, $T _0$ through $T _5$.
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Morris Mano Edition 3 Exercise 7 Question 29 (Page No. 305)
Add four 2input AND gates to the circuit of the figure. One input in each gate is connected to one output of the decoder. The other input in each gate is connected to the clock. Label the outputs of the AND gate as $P _0,P _1,P _2, and P _3$. Show the timing diagram of the for P outputs.
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