Given a machine with 8GB addressable space, determine the number of address lines present in the machine8331634
Question
Given a machine with 8GB addressable space, determine the number of address lines present in the machine.
Solution
The number of address lines in a machine can be determined by the formula 2^n = memory size. Here, n is the number of address lines and the memory size is given as 8GB.
First, we need to convert 8GB into bytes because the formula uses bytes.
1GB = 2^30 bytes, so 8GB = 8 * 2^30 bytes = 2^33 bytes.
Now, we can set up the equation 2^n = 2^33 to find the number of address lines (n).
From this equation, it's clear that n = 33.
So, the machine has 33 address lines.
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