06 Chapter Map - Registers & Counters

Chapter 6 Overview & Map of Content (MOC)

Multi-bit storage registers, parallel load mechanics, shift register tracking, asynchronous ripple counters and propagation delay, synchronous counter design (irregular sequences, 84-2-1, Excess-3, BCD), up-down counters, Ring and Johnson counters, and parallel-load counter ICs.


📚 Study Notes Index

#NoteWhat it coversPYQ yearsTypical marks
6.016.01 Registers, Parallel Load & Shift Register DynamicsShift register tracking, parallel-load register, serial vs parallel transfer, SISO/SIPO/PISO/PIPO2015–2025 (most papers)7–15
6.026.02 Asynchronous (Ripple) Counters & Propagation Delay CalculationsRipple counter definition, delay and , truncated counters201813
6.036.03 Synchronous Counter Design (Sequence, Code & BCD Counters)Irregular sequence counters, 84-2-1 counter, Excess-3 counter, BCD counterevery paper10–15
6.046.04 Specialized Counters (Up-Down, Johnson, Ring & Mod-N ICs)Up-down counter, Johnson counter, ring counter, Mod-N with parallel load2015, 2017–2019, 2021–2023, 20255–13
6.056.05 Chapter 6 Master PYQ Solutions & Counter PuzzlesAdditional worked counter problems——

🎯 Exam Weight

Every paper contains at least two questions from this chapter

RankQuestionAppearancesMarksNote
1Shift register tracking numerical710–126.01 Registers, Parallel Load & Shift Register Dynamics §4
1Irregular sequence counter (15-10-9-…)710–156.03 Synchronous Counter Design (Sequence, Code & BCD Counters) §3
34-bit register with parallel load610–156.01 Registers, Parallel Load & Shift Register Dynamics §1
44-bit synchronous up-down counter55–106.04 Specialized Counters (Up-Down, Johnson, Ring & Mod-N ICs) §1
5Excess-3 code counter410–136.03 Synchronous Counter Design (Sequence, Code & BCD Counters) §5
5Johnson counter, 10 timing signals49–106.04 Specialized Counters (Up-Down, Johnson, Ring & Mod-N ICs) §4
784-2-1 code counter310–126.03 Synchronous Counter Design (Sequence, Code & BCD Counters) §4
7Cascaded shift registers310–126.01 Registers, Parallel Load & Shift Register Dynamics §5

Roughly 30–40 marks per paper. The shift-register tracking numerical is the single cheapest — no theory, just a carefully filled table, and only three variants have ever been set.

One procedure covers every counter question

Flip-flop count → state/excitation table → K-maps with unused states as don’t cares → verify by substitution → draw the circuit.

The only variables between years are the sequence and the flip-flop type (JK or T). Check both before starting — using the wrong excitation table makes everything from step 2 onward wrong.

Recurring traps in this chapter

  • Flip-flop type changes by year. Sequence counters: JK in 2015, 2016, 2020, 2022; T in 2023, 2024, 2025. Excess-3: T in 2019, 2022; JK in 2024, 2025.
  • 84-2-1 is not binary order. Decimal 4 → 5 is 0100 → 1011; every bit flips. Write the code table first.
  • Johnson decoding needs one complement per term. , not — otherwise each gate fires in two states.
  • Up-down steering needs primes on the down-path. , not .
  • Synchronous LOAD vs asynchronous CLEAR decide which state you decode for Mod-N: for load, for clear.
  • Cascaded shift registers depend on a figure. Establish whether it is an open chain or a circulating loop before computing anything.