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System Simulator >
System Component Models >
Digital Logic >
   Divide by N Counter (DIVN)       

Divide by N Counter (DIVN)

 

 


Property

Description

Units

Default

Range/Type

N

Divide by factor

None

1

(0, Inf)/Integer

N0

Initial counter value

None

1

(0, N-1)/Integer

RIN

Input impedance

Ohm

Inf

(0, Inf]/Real

ROUT

Output impedance

Ohm

0

[0, Inf)/Real

Ports

Input

Input signal (real)

Output

Output signal (real)


 

Notes

1. This element is a model of a positive edge-triggered, modulo N down counter. The input to the element is a clock signal and the output is a signal that is high or low, depending on whether the current counter value is greater or less than floor (N/2). Note that the counter value itself is not available as an output.

Let M(k) denote the counter value after the kth positive clock edge. Then

    M(0) = N0

    M(k) = (M(k-1) -1) modulo N, k ³ 1

2. The initial counter value N0 is limited to the range [0, N-1] where N is the divide-by factor.

3. The input and output signal voltages of the DIVN element, with parameters N=7 and N0=1, are shown. Output is low until the first positive clock edge occurs at time 10 msec. Output jumps to high level at 10 msec, since initial counter N0=1 (< floor (7/2) ).

4. Note that the period of the input signal is 10msec and the period of the output period is 70msec, which yields the signal frequency divided by 7 after the element.

Netlist Form

DIVN:Name n1 n2 [Rin1=Val] [Rout=Val]

Netlist Example

DIVN:1 1 2




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