FPGA Parallel output timing to satisfy input timing

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Let's say a FPGA reads flip-flop D and outputs Q on the second rising edge of a CLK (figeure1). How can this satisfy the input setup time [TpdSU] of another device (figure2)? Do they generally not use the same CLK for the flip-flops and the output CLK towards another device? Or does a input device read the data on the 3th rising edge of the CLK?

Maybe I'm completely off and it is something different.

FPGA flip-flow

Parallel Input Timing

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