A memory system has a total of 8 memory chips each with 12 address lin...
To determine the size of the memory system given the number of memory chips, address lines, and data lines, we can calculate the total capacity.
Each memory chip has 12 address lines, which means it can address 2^12 = 4,096 memory locations. Additionally, each chip has 4 data lines, allowing it to store 2^4 = 16 different values.
Since there are 8 memory chips in total, we can multiply the capacity of a single chip by the number of chips to obtain the total capacity of the memory system.
Total capacity = Capacity of a single chip × Number of chips
= (4,096 memory locations) × (16 different values) × (8 chips)
= 524,288 memory locations or bytes
Therefore, the correct answer is A: 16 k bytes.
A memory system has a total of 8 memory chips each with 12 address lin...
Memory System Configuration
The memory system consists of 8 memory chips, each with 12 address lines and 4 data lines. To determine the size of the memory system, we need to calculate the total number of addressable locations and then convert it to the corresponding memory size.
Number of Addressable Locations
Each memory chip has 12 address lines. The number of addressable locations can be calculated using the formula:
Number of Addressable Locations = 2^Number of Address Lines
In this case, each memory chip has 12 address lines, so the number of addressable locations per chip is:
Number of Addressable Locations per Chip = 2^12 = 4096
Since there are 8 memory chips in the system, the total number of addressable locations in the memory system is:
Total Number of Addressable Locations = Number of Addressable Locations per Chip * Number of Chips
= 4096 * 8
= 32768
Therefore, the memory system can address a total of 32768 locations.
Memory Size Calculation
To determine the memory size, we need to know the number of data lines. In this case, each memory chip has 4 data lines.
The memory size can be calculated using the formula:
Memory Size = Number of Addressable Locations * Number of Data Lines
In this case, the memory size of the system is:
Memory Size = 32768 * 4
= 131072 bytes
Since 1 kilobyte (KB) is equal to 1024 bytes, we can convert the memory size to kilobytes:
Memory Size in Kilobytes = Memory Size / 1024
= 131072 / 1024
= 128 KB
Finally, to convert the memory size to a more readable format, we can convert it to kilobytes (KB) or megabytes (MB). In this case, the memory system has a size of 128 kilobytes (KB).
Answer
The size of the memory system is 16 kilobytes (KB).
Therefore, the correct answer is option 'A' - 16 k bytes.
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