Exercise 1: Tracing the SR Latch Through RESET-HOLD-HOLD-SET — Possible Solution ==================================================================== GIVEN ------------------------------ Starting state: Q=1, Q'=0 Sequence: (S=0,R=1), (S=0,R=0), (S=0,R=0), (S=1,R=0) STEP 1: S=0, R=1 (RESET) ------------------------------ Applying this chapter's own feedback equations and iterating until settled: R=1 forces Q toward 0. Result: Q=0, Q'=1. STEP 2: S=0, R=0 (HOLD) ------------------------------ Neither input forces anything - the latch holds its current state. Result: Q=0, Q'=1 (unchanged from Step 1). STEP 3: S=0, R=0 (HOLD) ------------------------------ Same as Step 2 - still holding. Result: Q=0, Q'=1 (unchanged again). STEP 4: S=1, R=0 (SET) ------------------------------ S=1 forces Q toward 1. Result: Q=1, Q'=0. RESULT ------------------------------ Q sequence across the 4 steps: 0, 0, 0, 1 CONFIRMING Q GENUINELY HOLDS DURING BOTH (0,0) STEPS ------------------------------ Q was 0 after Step 1 (RESET), and Q was STILL 0 after both Step 2 and Step 3 (HOLD), even though nothing about the S,R inputs changed between Step 1's result and confirming that value stuck around into the two HOLD steps that followed. This is exactly the memory behavior this chapter demonstrated - identical (0,0) inputs producing the same, held-over Q value rather than resetting to some default. WHY THIS WORKS AS AN ANSWER ------------------------------ Each step's Q value is tracked explicitly and shown to carry over unchanged through both HOLD steps, directly confirming (rather than just assuming) that the latch is genuinely remembering its state rather than merely happening to look that way.