कॉम्बिनेशनल लॉजिक के संबंध में निम्नलिखित कथनों पर विचार कीजिए:
1. कॉम्बिनेशनल परिपथ केवल वर्तमान इनपुट के आधार पर आउटपुट देते हैं, इनमें मेमोरी प्रभाव नहीं होता।
2. इन परिपथों में फीडबैक पथ या फ्लिप-फ्लॉप जैसे संग्रह अवयव नहीं होते।
3. सीक्वेंशियल लॉजिक, टाइमिंग के लिए उपयोग होने वाले कॉम्बिनेशनल परिपथों का एक उपसमूह है।
उपरोक्त में से कौन-सा/से कथन सही है/हैं?
उत्तर और चरणबद्ध हल
वर्गीकरण की कसौटी: क्या पिछले इतिहास के कारण समान इनपुट अलग आउटपुट दे सकता है? ऐडर, मल्टीप्लेक्सर, डिकोडर, एनकोडर कॉम्बिनेशनल हैं; काउंटर, रजिस्टर और स्टेट मशीन सीक्वेंशियल हैं। मुख्य संबंध: कॉम्बिनेशनल: y(t)=f[x(t)]; सीक्वेंशियल: y(t)=f[x(t), state(t)]।
परीक्षा फोकस: क्या पिछली अवस्था मायने रखती है? नहीं → कॉम्बिनेशनल।
विस्तृत हल (मूल भाषा में)
Statement-wise Verification
- Statement 1 - Correct.
Combinational circuits produce outputs based only on present input conditions without memory effect.
Combinational output is a function only of present inputs. - Statement 2 - Correct.
These circuits do not include feedback paths or storage elements like flip-flops.
In the standard definition: combinational circuits contain logic gates without memory elements such as latches/flip-flops; intentional feedback that stores state belongs to sequential behavior. - Statement 3 - Incorrect.
Sequential logic is a subset of combinational circuits used for timing operations.
Sequential logic is not a subset of combinational logic; it adds state/memory and often clocking.
Core Concept
A useful classification test is whether the same present input can produce different outputs because of history. If yes, the circuit is sequential. Adders, multiplexers, decoders and encoders are combinational; counters, registers and finite-state machines are sequential.
Formula / Key Relationship
Combinational: y(t)=f[x(t)]. Sequential: y(t)=f[x(t), state(t)], with state(t+1)=g[x(t),state(t)].
Step-by-Step Check
The definition validates 1 and 2 and directly rejects 3. Option A.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option D is incorrect because it includes incorrect statement(s) 3.
Answer-Key Verification Note
The uploaded provisional key marks C . After independent technical verification, the defensible answer is A . This discrepancy is stated explicitly rather than silently copying the provisional key.
Exam Shortcut / Approach
Ask one question: “Does previous state matter?” If no → combinational.
Common Mistake
Treating “timing operation” as proof that a circuit is combinational.
Quick Revision
Memoryless Logic Circuits is linked with Combinational versus Sequential, Combinational Logic and Digital Electronics. Ask one question: “Does previous state matter?” If no → combinational.
Consider the following statements regarding Combinational Logic:
1. Combinational circuits produce outputs based only on present input conditions without memory effect.
2. These circuits do not include feedback paths or storage elements like flip-flops.
3. Sequential logic is a subset of combinational circuits used for timing operations.
Which of the above statements is/are correct?
Answer & step-by-step solution
A useful classification test is whether the same present input can produce different outputs because of history. Adders, multiplexers, decoders and encoders are combinational; counters, registers and finite-state machines are sequential. Key relation: Combinational: y(t)=f[x(t)]. Sequential: y(t)=f[x(t), state(t)], with state(t+1)=g[x(t),state(t)].
Exam focus: Ask one question: “Does previous state matter?” If no → combinational. Common trap: Treating “timing operation” as proof that a circuit is combinational.
Statement-wise Verification
- Statement 1 - Correct.
Combinational circuits produce outputs based only on present input conditions without memory effect.
Combinational output is a function only of present inputs. - Statement 2 - Correct.
These circuits do not include feedback paths or storage elements like flip-flops.
In the standard definition: combinational circuits contain logic gates without memory elements such as latches/flip-flops; intentional feedback that stores state belongs to sequential behavior. - Statement 3 - Incorrect.
Sequential logic is a subset of combinational circuits used for timing operations.
Sequential logic is not a subset of combinational logic; it adds state/memory and often clocking.
Core Concept
A useful classification test is whether the same present input can produce different outputs because of history. If yes, the circuit is sequential. Adders, multiplexers, decoders and encoders are combinational; counters, registers and finite-state machines are sequential.
Formula / Key Relationship
Combinational: y(t)=f[x(t)]. Sequential: y(t)=f[x(t), state(t)], with state(t+1)=g[x(t),state(t)].
Step-by-Step Check
The definition validates 1 and 2 and directly rejects 3. Option A.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option D is incorrect because it includes incorrect statement(s) 3.
Answer-Key Verification Note
The uploaded provisional key marks C . After independent technical verification, the defensible answer is A . This discrepancy is stated explicitly rather than silently copying the provisional key.
Exam Shortcut / Approach
Ask one question: “Does previous state matter?” If no → combinational.
Common Mistake
Treating “timing operation” as proof that a circuit is combinational.
Quick Revision
Memoryless Logic Circuits is linked with Combinational versus Sequential, Combinational Logic and Digital Electronics. Ask one question: “Does previous state matter?” If no → combinational.
કોમ્બિનેશનલ લોજિક સંબંધિત નીચેના વિધાનો ધ્યાનમાં લો:
1. કોમ્બિનેશનલ પરિપથ ફક્ત વર્તમાન ઇનપુટના આધારે આઉટપુટ આપે છે, તેમાં મેમરી અસર હોતી નથી.
2. આ પરિપથોમાં ફીડબેક માર્ગ કે ફ્લિપ-ફ્લોપ જેવા સંગ્રહ ઘટકો હોતા નથી.
3. સિક્વેન્શિયલ લોજિક એ ટાઇમિંગ માટે વપરાતા કોમ્બિનેશનલ પરિપથોનો પેટાસમૂહ છે.
ઉપરોક્તમાંથી કયું/કયા વિધાન સાચું/સાચા છે?
જવાબ અને પગલાવાર ઉકેલ
વર્ગીકરણની કસોટી: શું ભૂતકાળને કારણે સમાન ઇનપુટ જુદું આઉટપુટ આપી શકે? એડર, મલ્ટિપ્લેક્સર, ડિકોડર, એન્કોડર કોમ્બિનેશનલ છે; કાઉન્ટર, રજિસ્ટર અને સ્ટેટ મશીન સિક્વેન્શિયલ છે. મુખ્ય સંબંધ: કોમ્બિનેશનલ: y(t)=f[x(t)]; સિક્વેન્શિયલ: y(t)=f[x(t), state(t)].
પરીક્ષા મુદ્દો: શું અગાઉની અવસ્થા મહત્વની છે? ના → કોમ્બિનેશનલ.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Statement-wise Verification
- Statement 1 - Correct.
Combinational circuits produce outputs based only on present input conditions without memory effect.
Combinational output is a function only of present inputs. - Statement 2 - Correct.
These circuits do not include feedback paths or storage elements like flip-flops.
In the standard definition: combinational circuits contain logic gates without memory elements such as latches/flip-flops; intentional feedback that stores state belongs to sequential behavior. - Statement 3 - Incorrect.
Sequential logic is a subset of combinational circuits used for timing operations.
Sequential logic is not a subset of combinational logic; it adds state/memory and often clocking.
Core Concept
A useful classification test is whether the same present input can produce different outputs because of history. If yes, the circuit is sequential. Adders, multiplexers, decoders and encoders are combinational; counters, registers and finite-state machines are sequential.
Formula / Key Relationship
Combinational: y(t)=f[x(t)]. Sequential: y(t)=f[x(t), state(t)], with state(t+1)=g[x(t),state(t)].
Step-by-Step Check
The definition validates 1 and 2 and directly rejects 3. Option A.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option D is incorrect because it includes incorrect statement(s) 3.
Answer-Key Verification Note
The uploaded provisional key marks C . After independent technical verification, the defensible answer is A . This discrepancy is stated explicitly rather than silently copying the provisional key.
Exam Shortcut / Approach
Ask one question: “Does previous state matter?” If no → combinational.
Common Mistake
Treating “timing operation” as proof that a circuit is combinational.
Quick Revision
Memoryless Logic Circuits is linked with Combinational versus Sequential, Combinational Logic and Digital Electronics. Ask one question: “Does previous state matter?” If no → combinational.