काउंटर के संबंध में निम्नलिखित कथनों पर विचार कीजिए:
1. असिंक्रोनस काउंटर में रिपल प्रभाव के कारण संचयी प्रसार विलंब (propagation delay) होता है, जो उच्च-आवृत्ति अनुप्रयोगों में गति सीमित करता है।
2. सभी सिंक्रोनस काउंटर सभी परिस्थितियों में डिकोडिंग ग्लिच और हैज़र्ड से मुक्त होते हैं।
3. सिंक्रोनस काउंटर सभी फ्लिप-फ्लॉप को एक साथ क्लॉक कर रिपल विलंब समाप्त करते हैं, जिससे गति और विश्वसनीयता बढ़ती है।
उपरोक्त में से कौन-सा/से कथन सही है/हैं?
उत्तर और चरणबद्ध हल
असिंक्रोनस (रिपल) काउंटर में हर चरण पिछले चरण से क्लॉक होता है, इसलिए विलंब जुड़ते जाते हैं। सिंक्रोनस काउंटर सभी फ्लिप-फ्लॉप एक साथ क्लॉक करते हैं और तेज़ होते हैं, पर कॉम्बिनेशनल डिकोडिंग में फिर भी ग्लिच आ सकते हैं।
परीक्षा फोकस: सिंक्रोनस रिपल-क्लॉक विलंब हटाता है, हर हैज़र्ड नहीं। सामान्य गलती: सिंक्रोनस = ग्लिच-मुक्त मानना।
विस्तृत हल (मूल भाषा में)
Statement-wise Verification
- Statement 1 - Correct.
Asynchronous counters experience cumulative propagation delay due to ripple effect, limiting their operating speed in high-frequency applications.
Asynchronous or ripple counters clock each stage from the previous stage, so propagation delays accumulate. - Statement 2 - Incorrect.
All synchronous counters are free from decoding glitches and hazards under all operating conditions.
Synchronous clocking removes ripple delay but does not guarantee hazard-free decoding logic - Statement 3 - Correct.
Synchronous counters eliminate ripple delay by clocking all flip-flops simultaneously, thereby improving speed and reliability.
Synchronous counters clock all flip-flops together and are therefore faster
Core Concept
Asynchronous or ripple counters clock each stage from the previous stage, so propagation delays accumulate. Synchronous counters clock all flip-flops together and are therefore faster, but combinational decoding can still exhibit hazards/glitches depending on implementation.
Formula / Key Relationship
Ripple delay roughly accumulates with number of stages.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 2 and omits correct statement(s) 3. Option B is incorrect because it includes incorrect statement(s) 2 and omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 2.
Exam Shortcut / Approach
Synchronous eliminates ripple-clock delay, not every possible logic hazard.
Common Mistake
Synchronous does not mean glitch-proof.
Quick Revision
Synchronous and Asynchronous Counters is linked with Counters, Sequential Logic and Digital Electronics. Synchronous eliminates ripple-clock delay, not every possible logic hazard.
Consider the following statements regarding Counters:
1. Asynchronous counters experience cumulative propagation delay due to ripple effect, limiting their operating speed in high-frequency applications.
2. All synchronous counters are free from decoding glitches and hazards under all operating conditions.
3. Synchronous counters eliminate ripple delay by clocking all flip-flops simultaneously, thereby improving speed and reliability.
Which of the above statements is/are correct?
Answer & step-by-step solution
Asynchronous or ripple counters clock each stage from the previous stage, so propagation delays accumulate. Synchronous counters clock all flip-flops together and are therefore faster, but combinational decoding can still exhibit hazards/glitches depending on implementation. Key relation: Ripple delay roughly accumulates with number of stages.
Exam focus: Synchronous eliminates ripple-clock delay, not every possible logic hazard. Common trap: Synchronous does not mean glitch-proof.
Statement-wise Verification
- Statement 1 - Correct.
Asynchronous counters experience cumulative propagation delay due to ripple effect, limiting their operating speed in high-frequency applications.
Asynchronous or ripple counters clock each stage from the previous stage, so propagation delays accumulate. - Statement 2 - Incorrect.
All synchronous counters are free from decoding glitches and hazards under all operating conditions.
Synchronous clocking removes ripple delay but does not guarantee hazard-free decoding logic - Statement 3 - Correct.
Synchronous counters eliminate ripple delay by clocking all flip-flops simultaneously, thereby improving speed and reliability.
Synchronous counters clock all flip-flops together and are therefore faster
Core Concept
Asynchronous or ripple counters clock each stage from the previous stage, so propagation delays accumulate. Synchronous counters clock all flip-flops together and are therefore faster, but combinational decoding can still exhibit hazards/glitches depending on implementation.
Formula / Key Relationship
Ripple delay roughly accumulates with number of stages.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 2 and omits correct statement(s) 3. Option B is incorrect because it includes incorrect statement(s) 2 and omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 2.
Exam Shortcut / Approach
Synchronous eliminates ripple-clock delay, not every possible logic hazard.
Common Mistake
Synchronous does not mean glitch-proof.
Quick Revision
Synchronous and Asynchronous Counters is linked with Counters, Sequential Logic and Digital Electronics. Synchronous eliminates ripple-clock delay, not every possible logic hazard.
કાઉન્ટર સંબંધિત નીચેના વિધાનો ધ્યાનમાં લો:
1. અસિંક્રોનસ કાઉન્ટરમાં રિપલ અસરને કારણે સંચિત પ્રસરણ વિલંબ (propagation delay) થાય છે, જે ઉચ્ચ-આવૃત્તિ ઉપયોગોમાં ઝડપ મર્યાદિત કરે છે.
2. બધા સિંક્રોનસ કાઉન્ટર તમામ સ્થિતિમાં ડિકોડિંગ ગ્લિચ અને હેઝાર્ડથી મુક્ત હોય છે.
3. સિંક્રોનસ કાઉન્ટર બધા ફ્લિપ-ફ્લોપને એક સાથે ક્લોક કરી રિપલ વિલંબ દૂર કરે છે, જેથી ઝડપ અને વિશ્વસનીયતા વધે છે.
ઉપરોક્તમાંથી કયું/કયા વિધાન સાચું/સાચા છે?
જવાબ અને પગલાવાર ઉકેલ
અસિંક્રોનસ (રિપલ) કાઉન્ટરમાં દરેક તબક્કો અગાઉના તબક્કાથી ક્લોક થાય છે, તેથી વિલંબ ઉમેરાતો જાય છે. સિંક્રોનસ કાઉન્ટર બધા ફ્લિપ-ફ્લોપ એક સાથે ક્લોક કરે છે અને ઝડપી હોય છે, પરંતુ કોમ્બિનેશનલ ડિકોડિંગમાં હજુ ગ્લિચ આવી શકે છે.
પરીક્ષા મુદ્દો: સિંક્રોનસ રિપલ-ક્લોક વિલંબ દૂર કરે છે, દરેક હેઝાર્ડ નહીં. સામાન્ય ભૂલ: સિંક્રોનસ = ગ્લિચ-મુક્ત માનવું.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Statement-wise Verification
- Statement 1 - Correct.
Asynchronous counters experience cumulative propagation delay due to ripple effect, limiting their operating speed in high-frequency applications.
Asynchronous or ripple counters clock each stage from the previous stage, so propagation delays accumulate. - Statement 2 - Incorrect.
All synchronous counters are free from decoding glitches and hazards under all operating conditions.
Synchronous clocking removes ripple delay but does not guarantee hazard-free decoding logic - Statement 3 - Correct.
Synchronous counters eliminate ripple delay by clocking all flip-flops simultaneously, thereby improving speed and reliability.
Synchronous counters clock all flip-flops together and are therefore faster
Core Concept
Asynchronous or ripple counters clock each stage from the previous stage, so propagation delays accumulate. Synchronous counters clock all flip-flops together and are therefore faster, but combinational decoding can still exhibit hazards/glitches depending on implementation.
Formula / Key Relationship
Ripple delay roughly accumulates with number of stages.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 2 and omits correct statement(s) 3. Option B is incorrect because it includes incorrect statement(s) 2 and omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 2.
Exam Shortcut / Approach
Synchronous eliminates ripple-clock delay, not every possible logic hazard.
Common Mistake
Synchronous does not mean glitch-proof.
Quick Revision
Synchronous and Asynchronous Counters is linked with Counters, Sequential Logic and Digital Electronics. Synchronous eliminates ripple-clock delay, not every possible logic hazard.