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A given memory chip has 14 address pins and 8 data pins. It has the following number of locations.
- a)28
- b)214
- c)26
- d)212
- e)222
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A given memory chip has 14 address pins and 8 data pins. It has the fo...
Let's break down the given information and determine the number of locations in the memory chip.
- The memory chip has 14 address pins and 8 data pins.
- The number of address pins determines the number of unique addresses that can be represented.
- Each unique address corresponds to a location in the memory chip.
- The number of data pins determines the number of bits that can be stored at each location.
Determining the number of unique addresses:
- The number of address pins is 14, which means there are 2^14 (2 raised to the power of 14) unique addresses.
- This is because each address pin can have 2 possible states: 0 or 1.
- So, for each address pin, there are 2 choices, and since there are 14 address pins, the total number of unique addresses is 2^14.
Determining the number of bits per location:
- The number of data pins is 8, which means there are 8 bits that can be stored at each location.
- This is because each data pin can have 2 possible states: 0 or 1.
- So, for each data pin, there are 2 choices, and since there are 8 data pins, the total number of bits per location is 2^8.
Calculating the total number of locations:
- To determine the total number of locations in the memory chip, we multiply the number of unique addresses by the number of bits per location.
- So, the total number of locations is 2^14 * 2^8 = 2^(14+8) = 2^22 = 4,194,304.
- Therefore, the correct answer is option 'B', which states that the memory chip has 2^14 = 16,384 unique addresses and each location can store 2^8 = 256 bits.
In summary, the given memory chip has 16,384 unique addresses and each location can store 256 bits.
- The memory chip has 14 address pins and 8 data pins.
- The number of address pins determines the number of unique addresses that can be represented.
- Each unique address corresponds to a location in the memory chip.
- The number of data pins determines the number of bits that can be stored at each location.
Determining the number of unique addresses:
- The number of address pins is 14, which means there are 2^14 (2 raised to the power of 14) unique addresses.
- This is because each address pin can have 2 possible states: 0 or 1.
- So, for each address pin, there are 2 choices, and since there are 14 address pins, the total number of unique addresses is 2^14.
Determining the number of bits per location:
- The number of data pins is 8, which means there are 8 bits that can be stored at each location.
- This is because each data pin can have 2 possible states: 0 or 1.
- So, for each data pin, there are 2 choices, and since there are 8 data pins, the total number of bits per location is 2^8.
Calculating the total number of locations:
- To determine the total number of locations in the memory chip, we multiply the number of unique addresses by the number of bits per location.
- So, the total number of locations is 2^14 * 2^8 = 2^(14+8) = 2^22 = 4,194,304.
- Therefore, the correct answer is option 'B', which states that the memory chip has 2^14 = 16,384 unique addresses and each location can store 2^8 = 256 bits.
In summary, the given memory chip has 16,384 unique addresses and each location can store 256 bits.
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Community Answer
A given memory chip has 14 address pins and 8 data pins. It has the fo...
Concept:
Memory Chips:
- The number of address pins is related to the number of memory locations.
- The data pins are typically bi-directional in read-write memories. The number of data pins is related to the size of the memory location.
Given that,
Address pins= 14 (is related to the number of memory locations)
Data pins= 8 (It is related to the size of the memory location)
So For 'N-Bits' address pins, the number of locations that will accommodate is 2N.
So For '14-Bits' address pins, the number of locations that will accommodate is 214.
Hence the correct answer is 214.
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A given memory chip has 14 address pins and 8 data pins. It has the following number of locations.a)28b)214c)26d)212e)222Correct answer is option 'B'. Can you explain this answer?
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