Difficulty: Easy
Correct Answer: They are simply the inverse of each other.
Explanation:
Introduction / Context:Emitter-Coupled Logic (ECL) is a high-speed bipolar logic family that uses differential transistor pairs biased in their linear region. A hallmark of many ECL devices is that they bring out both the true and complement outputs. This sometimes leads to data sheets wording the outputs as “OR/NOR” or “AND/NAND,” which can confuse newcomers.
Given Data / Assumptions:
Concept / Approach:The differential nature of ECL means that when one side goes HIGH, the other goes LOW simultaneously. If the internal function is a NOR on the “true” output, its complement naturally appears as an OR on the other output, because NOT(NOR) = OR. Thus, the two outputs are logically inverse versions, letting designers choose whichever polarity is most convenient without extra delay.
Step-by-Step Solution:
Assume the internal function on the primary output is NOR(A, B, …).The complementary node is the logical NOT of the primary output.NOT(NOR(A, B, …)) equals OR(A, B, …) by De Morgan’s law.Therefore, the chip can truthfully label the two available outputs as NOR (true) and OR (complement).Verification / Alternative check:Consult timing diagrams: transitions on Q and Q̄ are matched and opposite. Functional tables often show both “true” and “complement” columns producing inverted results for the same inputs, confirming the relationship.
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:They are simply the inverse of each other.
Discussion & Comments