Frequency division

206

01:42:23

If we connect the inverted output of a D flip-flop to the D input of itself, it toggles itself on every rising edge of the clock.

It toggles itself once (from 1 to 0 or from 0 to 1) in one clock cycle because there is 1 rising edge in a clock cycle. And it takes two toggles to make a new cycle, so the frequency is divided by two.

We can use this mechanism to divide frequency two half of the input frequency.

published 2 years ago

gotodd2001

2 years ago

Actually, wouldn’t this actually be dividing the wavelength, which is the reciprocal of the frequency. If you half the wavelength, you double the frequency. So this would be a frequency multiplier. I may be wrong, but I think this would be the case.

gotodd2001

2 years ago

Never mind. I looked closer and it indeed divides the frequency. My bad.

jpoulin0901

2 years ago

You could also call it a frequency multiplier.. it's just that it multiplies the frequency by 1/2. 😁. In any case, the concept of wavelength doesn't really mean anything at this level of abstraction... The reciprocal of frequency is period.

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