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HC-SR501 PIR sensor sends a continuous signal of 0-3.3V for the period of 4-8 seconds (depending upon the delay set).
Is there a way/IC I can convert this signal to a single pulse of 1 sec, preferably without using a micro-controller?

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You can use a 555 Timer in the mono-stable mode which can give you 1 second pulse from your input of 4-8 seconds.

You can refer this datasheet for helping you construct the mono-stable multi-vibrator :

http://www.ti.com/lit/ds/symlink/lm555.pdf

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