The number of address lines required to address a 16 MB memory space is:Group of answer choices24182014
Question
The number of address lines required to address a 16 MB memory space is:Group of answer choices24182014
Solution
To address a 16 MB memory space, we need to calculate the number of address lines required.
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First, we need to convert the memory space from Megabytes to bits. Since 1 Byte = 8 bits and 1 Megabyte = 1024^2 Bytes, 16 Megabytes = 16 * 1024^2 * 8 bits = 134,217,728 bits.
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The number of address lines required is the number of binary digits (bits) needed to represent the total number of memory locations. This is calculated by taking the base-2 logarithm of the total number of memory locations.
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Since each memory location stores 1 byte (8 bits), the total number of memory locations = 134,217,728 bits / 8 bits/byte = 16,777,216.
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Therefore, the number of address lines required = log2(16,777,216) = 24.
So, the number of address lines required to address a 16 MB memory space is 24.
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