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Modulo-N Counters

Modulo-N Counters. Module M10.4 Section 7.2. Counters. Modulo-5 Counter 3-Bit Down Counter with Load and Timeout Modulo-N Down Counter. State Q2 Q1 Q0 Q2.D Q1.D Q0.D. D. Q. Q0.D. Q0. CLK. !Q. s0 0 0 0 0 0 1 s1 0 0 1 0 1 0 s2 0 1 0 0 1 1

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Modulo-N Counters

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  1. Modulo-N Counters Module M10.4 Section 7.2

  2. Counters • Modulo-5 Counter • 3-Bit Down Counter with Load and Timeout • Modulo-N Down Counter

  3. State Q2 Q1 Q0 Q2.D Q1.D Q0.D D Q Q0.D Q0 CLK !Q s0 0 0 0 0 0 1 s1 0 0 1 0 1 0 s2 0 1 0 0 1 1 s3 0 1 1 1 0 0 s4 1 0 0 0 0 0 s5 1 0 1 X X X s6 1 1 0 X X X s7 1 1 1 X X X D Q Q1.D Q1 CLK !Q D Q Q2.D Q2 CLK !Q Modulo-5 Counter

  4. State Q2 Q1 Q0 Q2.D Q1.D Q0.D s0 0 0 0 0 0 1 s1 0 0 1 0 1 0 s2 0 1 0 0 1 1 s3 0 1 1 1 0 0 s4 1 0 0 0 0 0 s5 1 0 1 X X X s6 1 1 0 X X X s7 1 1 1 X X X Modulo-5 Counter Q1 Q0 00 01 11 10 Q2 1 0 X X X 1 Q2.D Q2.D = Q1 & Q0

  5. State Q2 Q1 Q0 Q2.D Q1.D Q0.D s0 0 0 0 0 0 1 s1 0 0 1 0 1 0 s2 0 1 0 0 1 1 s3 0 1 1 1 0 0 s4 1 0 0 0 0 0 s5 1 0 1 X X X s6 1 1 0 X X X s7 1 1 1 X X X Modulo-5 Counter Q1 Q0 00 01 11 10 Q2 1 1 0 X X X 1 Q1.D Q1.D = !Q1 & Q0 # Q1 & !Q0

  6. State Q2 Q1 Q0 Q2.D Q1.D Q0.D s0 0 0 0 0 0 1 s1 0 0 1 0 1 0 s2 0 1 0 0 1 1 s3 0 1 1 1 0 0 s4 1 0 0 0 0 0 s5 1 0 1 X X X s6 1 1 0 X X X s7 1 1 1 X X X Note: On reset output pins are all high. Therefore, we need to include a clear input. Modulo-5 Counter Q1 Q0 00 01 11 10 Q2 1 1 0 X X X 1 Q0.D Q0.D = !Q2 & ! Q0

  7. mod5cnt.pld

  8. mod5cnt.abl MODULE Mod5Cnt TITLE ‘Modulo-5 Counter, A. Student, 7/20/02' DECLARATIONS “ INPUT PINS “ PB PIN 10; " push-button switch (clock) Clear PIN 7; " Switch 2 " OUTPUT PINS " Q2..Q0 PIN 37,36,35 ISTYPE 'reg buffer'; " LED 6..8 Q = [Q2..Q0]; " 3-bit output vector [A,B,C,D,E,F,G,DP] PIN 15,18,23,21,19,14,17,24 ISTYPE 'com'; Segments = [A,B,C,D,E,F,G]; " 7-segment LED display

  9. mod5cnt.abl (cont’d) EQUATIONS Q.c = PB; Q0.d = !Clear & !Q2 & !Q0; Q1.d = !Clear & !Q1 & Q0 # !Clear & Q1 & !Q0; Q2.d = !Clear & Q1 & Q0; DP = PB; " decimal point @radix 16; truth_table ( Q -> Segments ) " 7-segment display … Note !Clear

  10. mod5cnt.abl (cont’d) @radix 16; truth_table ( Q -> Segments ) " 7-segment display 0 -> 7E; 1 -> 30; 2 -> 6D; 3 -> 79; 4 -> 33; 5 -> 5B; 6 -> 5F; 7 -> 70;

  11. mod5cnt.abl (cont’d) test_vectors([PB,Clear] -> Q) [.c.,1] -> 0; [.c.,0] -> 1; [.c.,0] -> 2; [.c.,0] -> 3; [.c.,0] -> 4; [.c.,0] -> 0; [.c.,0] -> 1; [.c.,0] -> 2; [.c.,0] -> 3; [.c.,0] -> 4; [.c.,0] -> 0; [.c.,0] -> 1; [.c.,0] -> 2; END

  12. Simulation File, mod5cnt.si CUPL Simulation File

  13. Note: first test vector clears output Back to LLL after 5 states CUPL Simulation File mod5cnt.si

  14. CUPL Simulation Output File

  15. Counters • Modulo-5 Counter • 3-Bit Down Counter with Load and Timeout • Modulo-N Down Counter

  16. State Q2 Q1 Q0 Q2.D Q1.D Q0.D D Q Q0.D Q0 CLK !Q s0 0 0 0 1 1 1 s1 0 0 1 0 0 0 s2 0 1 0 0 0 1 s3 0 1 1 0 1 0 s4 1 0 0 0 1 1 s5 1 0 1 1 0 0 s6 1 1 0 1 0 1 s7 1 1 1 1 1 0 D Q Q1.D Q1 CLK !Q D Q Q2.D Q2 CLK !Q 3-Bit Down Counter

  17. State Q2 Q1 Q0 Q2.D Q1.D Q0.D s0 0 0 0 1 1 1 s1 0 0 1 0 0 0 s2 0 1 0 0 0 1 s3 0 1 1 0 1 0 s4 1 0 0 0 1 1 s5 1 0 1 1 0 0 s6 1 1 0 1 0 1 s7 1 1 1 1 1 0 3-Bit Down Counter Q1 Q0 00 01 11 10 Q2 1 0 1 1 1 1 Q2.D Q2.D = !Q2 & !Q1 & !Q0 # Q2 & Q1 # Q2 & Q0

  18. State Q2 Q1 Q0 Q2.D Q1.D Q0.D s0 0 0 0 1 1 1 s1 0 0 1 0 0 0 s2 0 1 0 0 0 1 s3 0 1 1 0 1 0 s4 1 0 0 0 1 1 s5 1 0 1 1 0 0 s6 1 1 0 1 0 1 s7 1 1 1 1 1 0 3-Bit Down Counter Q1 Q0 00 01 11 10 Q2 1 1 0 1 1 1 Q1.D Q1.D = !Q1 & !Q0 # Q1 & Q0

  19. State Q2 Q1 Q0 Q2.D Q1.D Q0.D s0 0 0 0 1 1 1 s1 0 0 1 0 0 0 s2 0 1 0 0 0 1 s3 0 1 1 0 1 0 s4 1 0 0 0 1 1 s5 1 0 1 1 0 0 s6 1 1 0 1 0 1 s7 1 1 1 1 1 0 3-Bit Down Counter Q1 Q0 00 01 11 10 Q2 1 1 0 1 1 1 Q0.D Q0.D = ! Q0

  20. timeout = 1 when [q0..2] = [0,0,0] dncnt3ld.abl MODULE DnCnt3LD TITLE '3-bit Down Counter with Clear and Load' DECLARATIONS " INPUT PINS " PB PIN 10; " push-button switch (clock) Clear PIN 7; " Switch 2 Load PIN 11; " Switch 3 X2..X0 PIN 71,66,70; " Switch 6..8 Data = [X2..X0]; " 3-bit input vector " OUTPUT PINS " LED1..LED2 PIN 44,43 ISTYPE 'com'; " LED 1..2 timeout PIN 41 ISTYPE 'com'; " LED 3 Q2..Q0 PIN 37,36,35 ISTYPE 'reg buffer'; " LED 6..8 Q = [Q2..Q0]; " 3-bit output vector [A,B,C,D,E,F,G,DP] PIN 15,18,23,21,19,14,17,24 ISTYPE 'com'; Segments = [A,B,C,D,E,F,G]; " 7-segment LED display If load = 1, Load Data to [q0..2]

  21. dncnt3ld.abl (cont’d) EQUATIONS LED1 = Clear; LED2 = Load; Q.c = PB; WHEN Clear THEN Q.d = 0; ELSE { WHEN Load THEN Q.d = Data; ELSE { Q2.d = !Clear & !Q2 & !Q1 & !Q0 # !Clear & Q2 & Q1 # !Clear & Q2 & Q0; Q1.d = !Clear & !Q1 & !Q0 # !Clear & Q1 & Q0; Q0.d = !Clear & !Q0; } } timeout = !Q0 & !Q1 & !Q2; …

  22. Simulation File, dncnt3ld.si CUPL Simulation File

  23. ORDER: clock,%2,clear,load,%3,I2..0,%3,q0,%2,q1,%2,q2,%2,timeout; VECTORS: C10 XXX LLL H /* clear counter */ C00 XXX HHH L C00 XXX LHH L C00 XXX HLH L C00 XXX LLH L C00 XXX HHL L C01 101 HLH L /* load 101 into counter */ C00 XXX LLH L C00 XXX HHL L C00 XXX LHL L C00 XXX HLL L C00 XXX LLL H /* timeout */ C00 XXX HHH L C00 XXX LHH L C00 XXX HLH L C00 XXX LLH L C00 XXX HHL L C00 XXX LHL L C00 XXX HLL L C00 XXX LLL H /* timeout */ C00 XXX HHH L CUPL Simulation File dncnt3ld.si

  24. CUPL Simulation Output File

  25. Counters • Modulo-5 Counter • 3-Bit Down Counter with Load and Timeout • Modulo-N Down Counter

  26. 3-Bit Down Counter with Load and Timeout ______________ | dncnt3ld | clock x---|1 20|---x Vcc clear x---|2 19|---x q0 load x---|3 18|---x q1 I0 x---|4 17|---x q2 I1 x---|5 16|---x timeout I2 x---|6 15|---x x---|7 14|---x x---|8 13|---x x---|9 12|---x GND x---|10 11|---x |______________| To make a Modulo-5 counter, connect [I2..0] to 100 and connect timeout to load.

  27. CUPL Simulation Output File

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