Consider the use of a counter to divide an incoming clock. If our incoming clock signal is 32.768 kHz and we need a 64 Hz signal, how many bits would our counter need to have (i. e. what is n) to divide the incoming clock correctly?

The number of required bits in our  counter is 9

Explanation:

Given:

Incoming frequency kHz

Output frequency Hz

From the formula of finding the number of required bits of a counter,

Where number of bits,

Put all required values in above equation,

Take natural log on both side,

    ≅

Therefore, the number of required bits in our  counter is 9

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.