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    MOD 9 SYNCHRONOUS UP COUNTER

    DIGITAL ELECTRONICS

    CARLOS ALBERTO OROZCO MUOZcarlos.orozco_!"#o$%a&l.co%

    UNI'ERSIDAD DE GUANA(UATOCAMPUS IRAPUATO)SALAMANCA

    DEM YURIRIA

    *+,NO'EMBER,*+-

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    ABSTRACT

    The purpose of the practice was to build a counter circuit module 9 synchronous using J-

    K flip-flops, to understand how the Moore machines (synchronous) works and see the

    difference with the Mealy (asynchronous) ones of the preious practice!

    INTRODUCTION

    "n the theory of computation, a Moore machine is a finite-state machinewhose output

    alues are determined solely by its currentstate! This is in contrast to a Mealy machine,

    whose output alues are determined both by its current state and by the alues of its

    inputs! The Moore machine is named after#dward $! Moore, who presented the concept

    in a %9&' paper, edanken-e*perimentson +euential Machines!

    O/01c$&21s

    - uild a synchronous counter module 9 using flip-flops .-k in a breadboard!- /nderstand the reaction of flip-flops .-k to the clock signal!

    https://en.wikipedia.org/wiki/Theory_of_computationhttps://en.wikipedia.org/wiki/Finite-state_machinehttps://en.wikipedia.org/wiki/Finite-state_machinehttps://en.wikipedia.org/wiki/State_(computer_science)https://en.wikipedia.org/wiki/State_(computer_science)https://en.wikipedia.org/wiki/Mealy_machinehttps://en.wikipedia.org/wiki/Mealy_machinehttps://en.wikipedia.org/wiki/Edward_F._Moorehttps://en.wikipedia.org/wiki/Edward_F._Moorehttps://en.wikipedia.org/wiki/Thought_experimenthttps://en.wikipedia.org/wiki/Thought_experimenthttps://en.wikipedia.org/wiki/Finite-state_machinehttps://en.wikipedia.org/wiki/State_(computer_science)https://en.wikipedia.org/wiki/Mealy_machinehttps://en.wikipedia.org/wiki/Edward_F._Moorehttps://en.wikipedia.org/wiki/Thought_experimenthttps://en.wikipedia.org/wiki/Theory_of_computation
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    METHODOLOGY

    /sing two 01ls0' integrated circuits (containing two JK flip-flops with reset and preset)

    was assembled in a breadboard the circuit shown in the $igure 2%3, using a clock signal

    generated by a oscillator bistable &&& to a low freuency of %45, this to appreciate the

    change between one state to another !

    Figure 1: Circuit diagram of the synchronous mod. 9 counter.

    The 6 output of each flip-flop JK represent the bits of the number, the first 6 (67) is the

    M+, a 8# was connected to each output to see that number in binary representation!The main difference between the synchronous and asynchronous circuits is that in the

    synchronous there is only a one clock signal and is the same for each flip-flop!

    The method to obtain the inputs for each .-k of the flip-flops was using the transition

    states diagram of the .-k flip-flop

    Figure 2: Diagram transition of states

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    !

    :ith the diagram was possible make the truth table for each input JK!

    6

    7

    6

    ;

    6

    %

    6< 67=

    %

    6;=

    %

    6%=

    %

    6

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    The counter works correctly, starting to count from % to the 9, the number was in

    representation binary using the four leds!

    Figure 4: Circuit built in breadboard.

    Figure 5: Testing the counter.

    CONCLUSIONS

    The difference between the synchronous and the asynchronous counters is not much, only

    the way that are designed! :ith this practice is understood a little better how the .-k flip-

    flop and the synchronous circuits works!