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LED day indicators, suggest circuit please?

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Nehmo

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I plan on making a day-of-the-week clock. I'd like to use some off the shelf clock chip and somehow rig the output to be a different one of seven LED for each day. In other words, on Monday, LED 1 only would be lit, on Tuesday, LED 2 only would be lit, and so on.
I'll arrange the LEDs in a Heptagon with day labels.
Suggestions for the circuit please?
 
4017 rigged to reset when count reaches 8.

Getting 1 pulse per 24 hours is a little more work. Are you starting with 50Hz, 60Hz or a crystal?

Actually, this is begging for a PIC.
 
Yeah, I would use a PIC and count AC mains cycles (assuming it is powered from a small transformer or plugpack etc).

As a novelty idea, you could put a light sensor outside (away from artificial light) that gives one pulse per dar, then use that to clock a 4017 (like MikeMl said) at dawn every day.
 
I suppose I'm going to need to research clock chips and figure out how to employ one of them for the purpose.
I should lay out the requirements better:
The day-of-the-week clock would have an actual regular digital clock (perhaps out of sight on the back of the box). A user, not necessarily the original maker, would set the time on the regular clock, and the day-of-the-week clock (7 LEDs, actually) would sequence at midnight according to the regular clock.
If the user wants to adhere to daylight savings time when it's in force, the user can adjust the regular clock accordingly.
 
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