Clock Period Spaces Every Edge - Electronic Circuits IV & XII: Digital Logic and Timing Closure Step by Step

A clock-period-spaces-every-edge scan holds the selected edge index fixed and varies the period across three rows, checking that each edge time t_n = n * T spaces by the same period row by row. The arithmetic is exact only for the stated periods, edge indices, edge times, and rows in the ideal periodic-clock model. Real clocks add jitter, duty-cycle distortion, skew, finite rise time, threshold uncertainty, probe/calibration limits, finite precision, and measurement uncertainty.

A clock is an indexed event ledger with exact period spacing. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A clock edge ledger starts with one exact period

The period is 8 seconds, so each edge is spaced by that same amount.

T=8\ \text{s}

Changing period moves the same edge index

Each row keeps the selected edge fixed and recomputes its time from the period.

\begin{array}{c|c|c}T&n&t_n\\4\ \text{s}&3&12\ \text{s}\\6\ \text{s}&3&18\ \text{s}\\8\ \text{s}&3&24\ \text{s}\\\end{array}

The edge index multiplies the period

Edge 3 is at 24 seconds because the period is repeated 3 times.

3\cdot 8\ \text{s}=24\ \text{s}