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Q 10: Obtain the equation for Q in disjunctive normal form (a function of Q. 0 Q Q) Q 11: Simplify the equation using

Q 10: Obtain the equation for Qx** in disjunctive normal form (a function of Q.Oʻ.000 Q11: Simplify the equation using the KV


digera outputs Of FFS number number Decimal digits outputs Offis Decima! Cpresent state) next state 2) Cnext State) C State 2


 
 

Q 10: Obtain the equation for Q in disjunctive normal form (a function of Q. 0 Q Q) Q 11: Simplify the equation using the KV map or Boolean algebra. Make sure that Q or Q." occurs in every term of the equation, so that you can later compare coefficients with the characteristic equation of the JK-FF. Q 12: Obtain Ja und Ka(Jund K of the 4 flip-flop) by comparing cocfficients. The circuit for the counter is shown in Figure 14. However, the logic gates leading to J and K of the 4 flip-flop are missing. Q 13: Draw the gates needed for the 4" flip-flop into Figure 14. Use your results for Ja and Ka from Q12. Q2 Q1 Num 3 Q3 Num-5 Q4 Num-6 Num4 Y6 Y5 Y11 KRQ Y1 Y3 Y4 CLK Num-2 R Num=1 Figure 14: 5-3-2-1l code counter with 4 JK type FFs YI-4. All the reset inputs are connected together and make a common reset line R digeri outputs of FFS Cnext 3tate) De cimal digits outputs of FES DeCimal number number CState 2) Cpresent 3tate) cnext Srate 2) 5 3 3D 2. 3. 9. O o-0 -ooO 1. - -

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