डिकोडर परिपथ के संबंध में निम्नलिखित कथनों पर विचार कीजिए:
1. डिकोडर बाइनरी इनपुट को वन-हॉट आउटपुट में बदलता है जिसमें केवल एक आउटपुट लाइन सक्रिय होती है।
2. इसका उपयोग फलन निर्माण और मेमोरी एड्रेसिंग में किया जा सकता है।
3. संचालन के दौरान डिकोडर के सभी आउटपुट एक साथ सक्रिय रहते हैं।
उपरोक्त में से कौन-सा/से कथन सही है/हैं?
उत्तर और चरणबद्ध हल
डिकोडर n-बिट कोड को अधिकतम 2^n आउटपुट लाइनों में से एक पर मैप करता है (वन-हॉट)। इसका उपयोग मेमोरी/एड्रेस चयन और मिनटर्म-आधारित लॉजिक फलनों में होता है। मुख्य संबंध: n इनपुट → अधिकतम 2^n आउटपुट।
परीक्षा फोकस: आदर्श डिकोडिंग में केवल चयनित आउटपुट सक्रिय होता है।
विस्तृत हल (मूल भाषा में)
Statement-wise Verification
- Statement 1 - Correct.
Decoder converts binary input into one-hot output activating only one output line.
A decoder maps an n-bit code to one of up to 2^n output lines, commonly as a one-hot output. - Statement 2 - Correct.
It can be used for function generation and memory addressing operations.
Decoders are used in memory/address selection and can implement minterm-based logic functions. - Statement 3 - Incorrect.
All outputs of decoder remain active simultaneously during operation.
A conventional decoder asserts only the selected one-hot output (subject to active-high/low convention)
Core Concept
A decoder maps an n-bit code to one of up to 2^n output lines, commonly as a one-hot output. Decoders are used in memory/address selection and can implement minterm-based logic functions.
Formula / Key Relationship
n inputs → up to 2^n decoded outputs.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
Only the selected output is asserted in ideal one-hot decoding.
Common Mistake
All decoder outputs are not active simultaneously.
Quick Revision
One-Hot Decoding and Addressing is linked with Decoders, Combinational Logic and Digital Electronics. Only the selected output is asserted in ideal one-hot decoding.
Consider the following statements regarding Decoder circuit:
1. Decoder converts binary input into one-hot output activating only one output line.
2. It can be used for function generation and memory addressing operations.
3. All outputs of decoder remain active simultaneously during operation.
Which of the above statements is/are correct?
Answer & step-by-step solution
A decoder maps an n-bit code to one of up to 2^n output lines, commonly as a one-hot output. Decoders are used in memory/address selection and can implement minterm-based logic functions. Key relation: n inputs → up to 2^n decoded outputs.
Exam focus: Only the selected output is asserted in ideal one-hot decoding. Common trap: All decoder outputs are not active simultaneously.
Statement-wise Verification
- Statement 1 - Correct.
Decoder converts binary input into one-hot output activating only one output line.
A decoder maps an n-bit code to one of up to 2^n output lines, commonly as a one-hot output. - Statement 2 - Correct.
It can be used for function generation and memory addressing operations.
Decoders are used in memory/address selection and can implement minterm-based logic functions. - Statement 3 - Incorrect.
All outputs of decoder remain active simultaneously during operation.
A conventional decoder asserts only the selected one-hot output (subject to active-high/low convention)
Core Concept
A decoder maps an n-bit code to one of up to 2^n output lines, commonly as a one-hot output. Decoders are used in memory/address selection and can implement minterm-based logic functions.
Formula / Key Relationship
n inputs → up to 2^n decoded outputs.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
Only the selected output is asserted in ideal one-hot decoding.
Common Mistake
All decoder outputs are not active simultaneously.
Quick Revision
One-Hot Decoding and Addressing is linked with Decoders, Combinational Logic and Digital Electronics. Only the selected output is asserted in ideal one-hot decoding.
ડિકોડર પરિપથ સંબંધિત નીચેના વિધાનો ધ્યાનમાં લો:
1. ડિકોડર બાઇનરી ઇનપુટને વન-હોટ આઉટપુટમાં ફેરવે છે જેમાં ફક્ત એક આઉટપુટ લાઇન સક્રિય થાય છે.
2. તેનો ઉપયોગ વિધેય નિર્માણ અને મેમરી એડ્રેસિંગમાં થઈ શકે છે.
3. કામગીરી દરમિયાન ડિકોડરનાં બધાં આઉટપુટ એક સાથે સક્રિય રહે છે.
ઉપરોક્તમાંથી કયું/કયા વિધાન સાચું/સાચા છે?
જવાબ અને પગલાવાર ઉકેલ
ડિકોડર n-બિટ કોડને વધુમાં વધુ 2^n આઉટપુટ લાઇનમાંથી એક પર મેપ કરે છે (વન-હોટ). તેનો ઉપયોગ મેમરી/એડ્રેસ પસંદગી અને મિનટર્મ આધારિત લોજિક વિધેયોમાં થાય છે. મુખ્ય સંબંધ: n ઇનપુટ → વધુમાં વધુ 2^n આઉટપુટ.
પરીક્ષા મુદ્દો: આદર્શ ડિકોડિંગમાં ફક્ત પસંદ થયેલ આઉટપુટ સક્રિય થાય છે.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Statement-wise Verification
- Statement 1 - Correct.
Decoder converts binary input into one-hot output activating only one output line.
A decoder maps an n-bit code to one of up to 2^n output lines, commonly as a one-hot output. - Statement 2 - Correct.
It can be used for function generation and memory addressing operations.
Decoders are used in memory/address selection and can implement minterm-based logic functions. - Statement 3 - Incorrect.
All outputs of decoder remain active simultaneously during operation.
A conventional decoder asserts only the selected one-hot output (subject to active-high/low convention)
Core Concept
A decoder maps an n-bit code to one of up to 2^n output lines, commonly as a one-hot output. Decoders are used in memory/address selection and can implement minterm-based logic functions.
Formula / Key Relationship
n inputs → up to 2^n decoded outputs.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2. Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
Only the selected output is asserted in ideal one-hot decoding.
Common Mistake
All decoder outputs are not active simultaneously.
Quick Revision
One-Hot Decoding and Addressing is linked with Decoders, Combinational Logic and Digital Electronics. Only the selected output is asserted in ideal one-hot decoding.