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Consider 4-block cache (initially empty) with the following main memory block references.
4, 5, 7, 12, 4, 5, 13, 4, 5, 7
Identify the hit ratio for Direct mapped cache?
4, 5, 7, 12, 4, 5, 13, 4, 5, 7
Identify the hit ratio for Direct mapped cache?
- a)0.3
- b)1.4
- c)0.9
- d)2.7
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Consider 4-block cache (initially empty) with the following main memor...
{K MOD N = i}
4-M: 4 MOD 4 = 0
5-M: 5 MOD 4 = 1
7-M: 7 MOD 4 = 3
12-M: 12 MOD 4 = 0
4-M; 4 MOD 4 = 0
5-H
13-M; 13 MOD 4 = 1
4-H
5-M; 5 MOD 4 = 1
7-H
H = 3/10 = 0.3
Most Upvoted Answer
Consider 4-block cache (initially empty) with the following main memor...
Direct Mapped Cache Hit Ratio
Given main memory block references: 4, 5, 7, 12, 4, 5, 13, 4, 5, 7
Cache organization: 4-block cache (initially empty)
To calculate the hit ratio for a direct mapped cache, we need to follow these steps:
1. Divide the main memory block references into sets according to the number of cache blocks. In this case, we have 4 blocks, so we will divide the references into 4 sets:
Set 0: 4, 12
Set 1: 5, 13
Set 2: 7, -
Set 3: -, -
2. For each set, determine which block in the cache the reference maps to. In a direct mapped cache, this is determined by the index bits of the block address. In this case, we have:
Set 0 maps to block 0
Set 1 maps to block 1
Set 2 maps to block 2
Set 3 maps to block 3
3. For each reference, check if the corresponding block is already in the cache. If it is, count it as a hit. If it is not, count it as a miss and replace the block in the cache with the new reference.
Using these steps, we can calculate the hit ratio for this example:
Reference 4: maps to block 0, miss, cache = {4, -, -, -}
Reference 5: maps to block 1, miss, cache = {4, 5, -, -}
Reference 7: maps to block 2, miss, cache = {4, 5, 7, -}
Reference 12: maps to block 0, miss, cache = {12, 5, 7, -}
Reference 4: maps to block 0, hit
Reference 5: maps to block 1, hit
Reference 13: maps to block 1, miss, cache = {12, 13, 7, -}
Reference 4: maps to block 0, hit
Reference 5: maps to block 1, hit
Reference 7: maps to block 2, hit
Total hits = 5
Total references = 10
Hit ratio = hits/references = 5/10 = 0.5
Therefore, the answer is option A, 0.3 is incorrect.
Given main memory block references: 4, 5, 7, 12, 4, 5, 13, 4, 5, 7
Cache organization: 4-block cache (initially empty)
To calculate the hit ratio for a direct mapped cache, we need to follow these steps:
1. Divide the main memory block references into sets according to the number of cache blocks. In this case, we have 4 blocks, so we will divide the references into 4 sets:
Set 0: 4, 12
Set 1: 5, 13
Set 2: 7, -
Set 3: -, -
2. For each set, determine which block in the cache the reference maps to. In a direct mapped cache, this is determined by the index bits of the block address. In this case, we have:
Set 0 maps to block 0
Set 1 maps to block 1
Set 2 maps to block 2
Set 3 maps to block 3
3. For each reference, check if the corresponding block is already in the cache. If it is, count it as a hit. If it is not, count it as a miss and replace the block in the cache with the new reference.
Using these steps, we can calculate the hit ratio for this example:
Reference 4: maps to block 0, miss, cache = {4, -, -, -}
Reference 5: maps to block 1, miss, cache = {4, 5, -, -}
Reference 7: maps to block 2, miss, cache = {4, 5, 7, -}
Reference 12: maps to block 0, miss, cache = {12, 5, 7, -}
Reference 4: maps to block 0, hit
Reference 5: maps to block 1, hit
Reference 13: maps to block 1, miss, cache = {12, 13, 7, -}
Reference 4: maps to block 0, hit
Reference 5: maps to block 1, hit
Reference 7: maps to block 2, hit
Total hits = 5
Total references = 10
Hit ratio = hits/references = 5/10 = 0.5
Therefore, the answer is option A, 0.3 is incorrect.
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Consider 4-block cache (initially empty) with the following main memory block references.4, 5, 7, 12, 4, 5, 13, 4, 5, 7Identify the hit ratio for Direct mapped cache?a)0.3b)1.4c)0.9d)2.7Correct answer is option 'A'. Can you explain this answer?
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Consider 4-block cache (initially empty) with the following main memory block references.4, 5, 7, 12, 4, 5, 13, 4, 5, 7Identify the hit ratio for Direct mapped cache?a)0.3b)1.4c)0.9d)2.7Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider 4-block cache (initially empty) with the following main memory block references.4, 5, 7, 12, 4, 5, 13, 4, 5, 7Identify the hit ratio for Direct mapped cache?a)0.3b)1.4c)0.9d)2.7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider 4-block cache (initially empty) with the following main memory block references.4, 5, 7, 12, 4, 5, 13, 4, 5, 7Identify the hit ratio for Direct mapped cache?a)0.3b)1.4c)0.9d)2.7Correct answer is option 'A'. Can you explain this answer?.
Consider 4-block cache (initially empty) with the following main memory block references.4, 5, 7, 12, 4, 5, 13, 4, 5, 7Identify the hit ratio for Direct mapped cache?a)0.3b)1.4c)0.9d)2.7Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider 4-block cache (initially empty) with the following main memory block references.4, 5, 7, 12, 4, 5, 13, 4, 5, 7Identify the hit ratio for Direct mapped cache?a)0.3b)1.4c)0.9d)2.7Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider 4-block cache (initially empty) with the following main memory block references.4, 5, 7, 12, 4, 5, 13, 4, 5, 7Identify the hit ratio for Direct mapped cache?a)0.3b)1.4c)0.9d)2.7Correct answer is option 'A'. Can you explain this answer?.
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