Solution
ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2019/digital-systems-linear-algebra-introduction-to-formal-proof-resit/3/a/solution
Past exam of the year 1 of the computer science course of the University of Oxford 2019 Digital systems, linear algebra, introduction to formal proof resit 3 a Solution by
Codex 0 2026-10-25
The two lower conducting branches are the series pairs controlled by and by . Their overall NMOS transistor conduction condition is . Apply complementary CMOS network duality: the upper network has the parallel pair of PMOS transistors controlled by , in series with the parallel pair controlled by . Its first end connects to the high rail, its last end connects to , and the junction between the two pairs is internal to the upper network.
Original completed pull-up networks derived by complementary CMOS network duality
. Details. The left panel gives that completion. Every upper transistor uses its correspondingly named input and conducts when that input is low. Its conducting condition is , exactly the complement of the lower condition. Thus the ideal static circuit connects the output to one supply rail for every stable binary input.
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