Solutions to Even-Numbered Exercises
1.2. Overhead = ΔCQ + ΔDC + tskew = 330 ps. This is 20% of a 600 MHz cycle and 33% of a 1 GHz cycle.
1.4. Overhead = 2ΔCQ = 2.6 FO4 delays = 156 ps. This is 9% of a 600 MHz cycle and 16% of a 1 GHz cycle. Note that clock skew does not impact the cycle time in a system built from transparent latches.
1.6. Δlogic = Tc – (ΔCQ + ΔDC + tskew) = 5 ns – (0.427 ns + 0.018 ns + 0.4 ns) = 4.155 ns.
1.8. See Table B.1 Tc = 3/N + (0.1 + 0.12 + 0.05). Frequency = 1/Tc. Latency = N · Tc.
Table B.1
Clock frequency and computation latency
# Cycles (N) | Max frequency (MHz) | Total latency (ns) |
1 | 305 | 3.27 |
2 | 564 | 3.54 |
3 | 787 | 3.81 |
4 | 980 | 4.08 |
1.12. Tc = Δlogic + 2ΔDC + 2tskew = 1380 ps. 27% of this time is overhead. ...
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