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Question
What is the number of bits needed for an address in a 4K memory?
What is the number of bits needed for an address in a 4K memory?
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Solution
The correct option is C 12
12 bits needed for an
address in a 4K memory
Likewise, you need 20 bits
to address every byte in a megabyte, and 30 bits to address every byte in a
gigabyte. 232 = 4294967296, which is the number of bytes in 4 gigabytes, so you
need a 32 bit address for 4 GB of memory.
As I mentioned before,
it's the size of a machine word. Machine word is the amount of memory CPU uses
to hold numbers (in RAM, cache or internal registers). 32-bit CPU uses 32 bits
(4 bytes) to hold numbers. Memory addresses are numbers too, so on a 32-bit CPU
the memory address consists of 32 bits.
12 bits needed for an address in a 4K memory
Likewise, you need 20 bits to address every byte in a megabyte, and 30 bits to address every byte in a gigabyte. 232 = 4294967296, which is the number of bytes in 4 gigabytes, so you need a 32 bit address for 4 GB of memory.
As I mentioned before, it's the size of a machine word. Machine word is the amount of memory CPU uses to hold numbers (in RAM, cache or internal registers). 32-bit CPU uses 32 bits (4 bytes) to hold numbers. Memory addresses are numbers too, so on a 32-bit CPU the memory address consists of 32 bits.
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