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How many address lines and data lines are required to provide a memory capacity of 16K x 16?
  • a)
    10, 4
  • b)
    16, 16
  • c)
    10,16
  • d)
    14, 16
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
How many address lines and data lines are required to provide a memory...
Memory capacity:
To calculate the memory capacity, we need to multiply the number of address lines by the number of data lines.

Number of address lines:
The number of address lines determines the number of unique addresses that can be accessed in the memory. In this case, we need a memory capacity of 16K x 16, where K represents kilo and denotes 1024. So, the memory capacity is 16 * 1024 locations. To address each location, we need enough address lines to represent the total number of locations.

To calculate the number of address lines required for a given memory capacity, we use the formula:

Number of address lines = log2(memory capacity in locations)

In this case, the memory capacity is 16 * 1024 locations, which can be written as:

Memory capacity = 16 * 2^10

Taking the logarithm base 2 of both sides, we get:

log2(Memory capacity) = log2(16 * 2^10)
= log2(16) + log2(2^10)
= log2(16) + 10
= 4 + 10
= 14

Therefore, the number of address lines required is 14.

Number of data lines:
The number of data lines determines the number of bits that can be accessed in each memory location. In this case, we need a memory capacity of 16K x 16, where 16 represents the number of bits that can be accessed in each memory location.

Therefore, the number of data lines required is 16.

Answer:
So, the correct answer is option D) 14, 16.
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Community Answer
How many address lines and data lines are required to provide a memory...
Memory capacity =16K × 16 = 214 × 24
Memory Capacity is of the form = 2m × 2n
Address lines required = m = 14
Data Lines required = 2n = 16
Option 4 is correct
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How many address lines and data lines are required to provide a memory capacity of 16K x 16?a)10, 4b)16, 16c)10,16d)14, 16Correct answer is option 'D'. Can you explain this answer?
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