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Learning/Knowledge checks/Digital Design Fundamentals/Representation and logic/Check

Module checkpoint

Representation and logic knowledge check

Answer every question from your current understanding. After submission, compare your reasoning with the explanation and revisit any weak concept.

This check covers Number systems and binary representation, Signed values, fixed point and digital codes, Boolean algebra and logic minimization. Read them first if you have not.

6 QuestionsOne Answer eachImmediate ScoreDetailed Explanations

Read→Reason→Select→Review

Question 1 of 6What unsigned decimal value does 8'b1010_0110 represent?

15616686

Question 2 of 6What value does 8'b1111_1011 represent in two's complement?

251-4-5

Question 3 of 6Which law rewrites !(A && B) in active-high Boolean notation?

!A && !BA || B!A || !B

Question 4 of 6Why may a designer keep a redundant logic term?

To eliminate a static logic hazardTo reduce the total gate countTo improve stuck-at testability

Question 5 of 6What does VIH(min) specify?

Lowest input voltage guaranteed to read as 1Highest input voltage guaranteed to read as 0Lowest output voltage a driver gives for a 1

Question 6 of 6Why is width extension required before adding two unsigned N-bit values when carry must be preserved?

Both operands must first be sign-extendedThe sum can need 2N bits, like a productThe sum can require N+1 bits

Review every selection before submitting. You can retry after reading the explanations.

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