3. [15 marks] Memory Addresses and Memory Sizes An n-bit register can hold 2^n d

Question

3. [15 marks] Memory Addresses and Memory Sizes An n-bit register can hold 2^n distinct bit patterns. As such, it can only be used to address a memory whose number of addressable units (typically, bytes) is less than or equal to 2^n. In what follows, use the "power of two" interpretation of Greek prefixes. In this question, register sizes need not be a power of two.

a) [5 marks] What is the minimum size of an address register for a computer with 1 TB of memory?

b) [5 marks] What is the minimum size of an address register for a computer with 1.5 TBs of memory? c) [5 marks] What is the minimum size of an address register for a computer with 3.5 PBs of memory?

Explanation / Answer

a) 48 bit is the address register for a computer with 1 TB of memory

b) 48 bit is the address register for a computer with 1.5 TB of memory

c) 64 bit is the address register for a computer with 3.5 PBs of memory

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