Counter Section 6.3.

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Presentation transcript:

Counter Section 6.3

Types of Counter Binary Ripple Counter Synchronous Counter

Binary Ripple Counter Respond to negative edge of the clock Reset

Binary Ripple Counter D0(n+1)=A0(n)’ The first flip-flop always toggles itself. 1 1 A3 A2 A1 A0 2 1 Each D flip-flop is designed to flip Itself. 3 1 4 1 Each D flip-flop is triggered by the output of the previous DFF. Reset

0→1 Binary Ripple Counter 1 1 →0 A3 A2 A1 A0 1 0 →0 2 1 1→1 0 →0 3 1 →1 0 →0 4 1 →1 Reset

0→1 → 0 Binary Ripple Counter 1 1 →0 → 1 A3 A2 A1 A0 1 0 →0 →1 2 1 1→1 →0 0 →0 →0 3 1 →1 →1 0 →0 →0 4 1 →1 →1 Reset

Binary Ripple Counter 1 Each DFF is triggered by the previous DFF. 2 3 Respond to negative edge of the clock 4 Reset

Sequence A3 A2 A1 A0 1 Start from 0, advance to 15, go back to 0.

Count Down D A3 A2 A1 A0 15 1 14 13 12 11 10 9 8 7 It is the rising edge that triggers the flip-flop. So remove the bubble. Make the DFF positive edge triggered.

Synchronous Counters Synchronous counters are different from ripple counters in that clock pulses are applied to the input of all flip-flops.

Binary Counter 1 1 2 3 4

JK Flip-Flop

Binary Counter 1 0→1 1 0→1 0 →0 2 0 →0 0 →0 3 0 →0 0 →0 4

1 0→1 →0 1 0→1 → 0 0 →0 →1 2 0 →0 →0 0 →0 →0 3 0 →0 →0 0 →0 →0 4