Made easy book: Doubt in frequency of clock

Question

Please explain how the formula of frequency of clock obtained?

Is the formula for time of clock not this -> Time of clock >= no of flip flop* delay per flip-flop?

Also, does the formula change with type of clock?

Comments

^see what r u talking about is applied on 2nd part of solution
    but here first we derive clock cycle time bcoz it is dependent of   nand gate

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In the 2nd part, frequency of output is calculated. Its a different case, and that is fine.

The doubt is related to formula of frequency of clock and its relation with gates and no of flip flops.

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^ frequency of clock depends on no. of nand gates nt on no of flip flops.
bcoz clk cycle is generated using nand gates

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I think the Nand circuit is complementing the clk that is why we are dividing by 2, bcoz it is +triggered and therfore counter will change on +edge that will be after every two times propogation occurs through Nand circuit.

Answer 1

The Clock generator circuit is a Astable Multivibrator. If u give input as zero it takes N(no. of NAND gates)*t_pd to get the output.

For one complete Clock cycle it takes 2*N*t_pd.