Consider the following statements regarding Memory Organization:
1. Memory capacity is expressed as number of words multiplied by number of bits per word in digital systems.
2. Address lines determine number of memory locations while data lines determine word size.
3. Increasing address lines reduces total memory capacity of the system.
Which of the above statements is/are correct?
Answer & step-by-step solution
A digital memory is specified by number of addressable words times bits per word. With n address lines, up to 2^n locations can be selected; the number of data lines sets the word width. Key relation: Capacity=(2^n words)×m bits/word.
Exam focus: Address lines choose locations; data lines carry word bits. Common trap: Do not confuse address width with data width.
Statement-wise Verification
- Statement 1 - Correct.
Memory capacity is expressed as number of words multiplied by number of bits per word in digital systems.
A digital memory is specified by number of addressable words times bits per word. - Statement 2 - Correct.
Address lines determine number of memory locations while data lines determine word size.
With n address lines, up to 2^n locations can be selected; the number of data lines sets the word width. - Statement 3 - Incorrect.
Increasing address lines reduces total memory capacity of the system.
More address lines increase the number of addressable locations as 2^n
Core Concept
A digital memory is specified by number of addressable words times bits per word. With n address lines, up to 2^n locations can be selected; the number of data lines sets the word width. Increasing address lines increases, not decreases, addressable capacity.
Formula / Key Relationship
Capacity=(2^n words)×m bits/word.
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
Address lines choose locations; data lines carry word bits.
Common Mistake
Do not confuse address width with data width.
Quick Revision
Address Lines Data Lines and Capacity is linked with Memory Organization, Memories and Digital Electronics. Address lines choose locations; data lines carry word bits.
मेमोरी संगठन के संबंध में निम्नलिखित कथनों पर विचार कीजिए:
1. डिजिटल सिस्टम में मेमोरी क्षमता शब्दों की संख्या × प्रति शब्द बिटों की संख्या के रूप में व्यक्त की जाती है।
2. एड्रेस लाइनें मेमोरी स्थानों की संख्या तय करती हैं जबकि डेटा लाइनें शब्द आकार तय करती हैं।
3. एड्रेस लाइनें बढ़ाने से सिस्टम की कुल मेमोरी क्षमता घटती है।
उपरोक्त में से कौन-सा/से कथन सही है/हैं?
उत्तर और चरणबद्ध हल
डिजिटल मेमोरी = एड्रेस योग्य शब्दों की संख्या × प्रति शब्द बिट। n एड्रेस लाइनों से अधिकतम 2^n स्थान चुने जा सकते हैं; डेटा लाइनों की संख्या शब्द चौड़ाई तय करती है। मुख्य संबंध: क्षमता=(2^n शब्द)×m बिट/शब्द।
परीक्षा फोकस: एड्रेस लाइनें स्थान चुनती हैं; डेटा लाइनें बिट ले जाती हैं।
विस्तृत हल (मूल भाषा में)
Statement-wise Verification
- Statement 1 - Correct.
Memory capacity is expressed as number of words multiplied by number of bits per word in digital systems.
A digital memory is specified by number of addressable words times bits per word. - Statement 2 - Correct.
Address lines determine number of memory locations while data lines determine word size.
With n address lines, up to 2^n locations can be selected; the number of data lines sets the word width. - Statement 3 - Incorrect.
Increasing address lines reduces total memory capacity of the system.
More address lines increase the number of addressable locations as 2^n
Core Concept
A digital memory is specified by number of addressable words times bits per word. With n address lines, up to 2^n locations can be selected; the number of data lines sets the word width. Increasing address lines increases, not decreases, addressable capacity.
Formula / Key Relationship
Capacity=(2^n words)×m bits/word.
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
Address lines choose locations; data lines carry word bits.
Common Mistake
Do not confuse address width with data width.
Quick Revision
Address Lines Data Lines and Capacity is linked with Memory Organization, Memories and Digital Electronics. Address lines choose locations; data lines carry word bits.
મેમરી ગોઠવણ સંબંધિત નીચેના વિધાનો ધ્યાનમાં લો:
1. ડિજિટલ સિસ્ટમમાં મેમરી ક્ષમતા શબ્દોની સંખ્યા × પ્રતિ શબ્દ બિટની સંખ્યા તરીકે દર્શાવાય છે.
2. એડ્રેસ લાઇન મેમરી સ્થાનોની સંખ્યા નક્કી કરે છે જ્યારે ડેટા લાઇન શબ્દનું કદ નક્કી કરે છે.
3. એડ્રેસ લાઇન વધારવાથી સિસ્ટમની કુલ મેમરી ક્ષમતા ઘટે છે.
ઉપરોક્તમાંથી કયું/કયા વિધાન સાચું/સાચા છે?
જવાબ અને પગલાવાર ઉકેલ
ડિજિટલ મેમરી = એડ્રેસ કરી શકાય તેવા શબ્દોની સંખ્યા × પ્રતિ શબ્દ બિટ. n એડ્રેસ લાઇનથી વધુમાં વધુ 2^n સ્થાન પસંદ કરી શકાય; ડેટા લાઇનની સંખ્યા શબ્દની પહોળાઈ નક્કી કરે છે. મુખ્ય સંબંધ: ક્ષમતા=(2^n શબ્દ)×m બિટ/શબ્દ.
પરીક્ષા મુદ્દો: એડ્રેસ લાઇન સ્થાન પસંદ કરે છે; ડેટા લાઇન બિટ વહન કરે છે.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Statement-wise Verification
- Statement 1 - Correct.
Memory capacity is expressed as number of words multiplied by number of bits per word in digital systems.
A digital memory is specified by number of addressable words times bits per word. - Statement 2 - Correct.
Address lines determine number of memory locations while data lines determine word size.
With n address lines, up to 2^n locations can be selected; the number of data lines sets the word width. - Statement 3 - Incorrect.
Increasing address lines reduces total memory capacity of the system.
More address lines increase the number of addressable locations as 2^n
Core Concept
A digital memory is specified by number of addressable words times bits per word. With n address lines, up to 2^n locations can be selected; the number of data lines sets the word width. Increasing address lines increases, not decreases, addressable capacity.
Formula / Key Relationship
Capacity=(2^n words)×m bits/word.
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
Address lines choose locations; data lines carry word bits.
Common Mistake
Do not confuse address width with data width.
Quick Revision
Address Lines Data Lines and Capacity is linked with Memory Organization, Memories and Digital Electronics. Address lines choose locations; data lines carry word bits.
More Memories & PLDs questions