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A RAM chip has a capacity of 1024 words of 8 bits each (1K x 8) . The number of 2 x 4
decoders with enable line needed to construct a 16K x 16 RAM from1K x 8 RAM is
decoders with enable line needed to construct a 16K x 16 RAM from1K x 8 RAM is
- a)4
- b)5
- c)6
- d)7
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A RAM chip has a capacity of 1024 words of 8 bits each (1K x 8) . The ...
RAM chip size = 1k ×8[1024 words of 8 bits each]
RAM to construct =16k ×16
Number of chips required = (16K x 16)/16 x 2 [16 chips vertically with each having 2 chips horizontally]
So to select one chip out of 16 vertical chips, we need 4 x 16 decoder.
Available decoder is – 2 x 4 decoder
To be constructed is 4 x 16 decoder
RAM to construct =16k ×16
Number of chips required = (16K x 16)/16 x 2 [16 chips vertically with each having 2 chips horizontally]
So to select one chip out of 16 vertical chips, we need 4 x 16 decoder.
Available decoder is – 2 x 4 decoder
To be constructed is 4 x 16 decoder
So we need 5, 2 x 4 decoder in total to construct 4 x 16 decoder.
Most Upvoted Answer
A RAM chip has a capacity of 1024 words of 8 bits each (1K x 8) . The ...
Explanation:
To build a 16K x 16 RAM, we need to use 16 1K x 8 RAM chips. To address each 1K x 8 RAM chip, we need 10 address lines (since 2^10 = 1024). To address each byte within a 1K x 8 RAM chip, we need an additional 3 address lines (since 2^3 = 8). Therefore, to address each byte in a 16K x 16 RAM, we need a total of 13 address lines (10 for the 1K x 8 RAM chip and 3 for the byte within the chip).
Now, we need to use decoders to select the appropriate 1K x 8 RAM chip based on the address lines. Since we have 10 address lines, we need 2^10 = 1024 possible combinations. Each 2 x 4 decoder can decode 4 possible combinations (since 2^2 = 4). Therefore, we need 1024/4 = 256 2 x 4 decoders.
However, we also need an enable line for each 1K x 8 RAM chip. Therefore, we need a total of 16 enable lines. Each 2 x 4 decoder has an enable line, so we need 16/4 = 4 2 x 4 decoders with enable lines.
Therefore, the total number of 2 x 4 decoders with enable lines needed to construct a 16K x 16 RAM from 1K x 8 RAM is 256 + 4 = 260. The closest option is B, which says 5, but the correct answer is actually 260.
To build a 16K x 16 RAM, we need to use 16 1K x 8 RAM chips. To address each 1K x 8 RAM chip, we need 10 address lines (since 2^10 = 1024). To address each byte within a 1K x 8 RAM chip, we need an additional 3 address lines (since 2^3 = 8). Therefore, to address each byte in a 16K x 16 RAM, we need a total of 13 address lines (10 for the 1K x 8 RAM chip and 3 for the byte within the chip).
Now, we need to use decoders to select the appropriate 1K x 8 RAM chip based on the address lines. Since we have 10 address lines, we need 2^10 = 1024 possible combinations. Each 2 x 4 decoder can decode 4 possible combinations (since 2^2 = 4). Therefore, we need 1024/4 = 256 2 x 4 decoders.
However, we also need an enable line for each 1K x 8 RAM chip. Therefore, we need a total of 16 enable lines. Each 2 x 4 decoder has an enable line, so we need 16/4 = 4 2 x 4 decoders with enable lines.
Therefore, the total number of 2 x 4 decoders with enable lines needed to construct a 16K x 16 RAM from 1K x 8 RAM is 256 + 4 = 260. The closest option is B, which says 5, but the correct answer is actually 260.
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A RAM chip has a capacity of 1024 words of 8 bits each (1K x 8) . The number of 2 x 4decoders with enable line needed to construct a 16K x 16 RAM from1K x 8 RAM isa)4b)5c)6d)7Correct answer is option 'B'. Can you explain this answer?
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A RAM chip has a capacity of 1024 words of 8 bits each (1K x 8) . The number of 2 x 4decoders with enable line needed to construct a 16K x 16 RAM from1K x 8 RAM isa)4b)5c)6d)7Correct answer is option 'B'. 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 A RAM chip has a capacity of 1024 words of 8 bits each (1K x 8) . The number of 2 x 4decoders with enable line needed to construct a 16K x 16 RAM from1K x 8 RAM isa)4b)5c)6d)7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A RAM chip has a capacity of 1024 words of 8 bits each (1K x 8) . The number of 2 x 4decoders with enable line needed to construct a 16K x 16 RAM from1K x 8 RAM isa)4b)5c)6d)7Correct answer is option 'B'. Can you explain this answer?.
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