tayleeanntabeln9272 tayleeanntabeln9272
  • 14-09-2019
  • Computers and Technology
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A computer’s memory is composed of 8K words of 32 bits each. How many bits are required for memory addressing if the smallest addressable memory unit is a word?

13

8

10

6

32

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luisafbv93 luisafbv93
  • 17-09-2019

Answer:

The minimum number of bits necessary to address 8K words is 13.

Explanation:

You have the number of words to address that is 8000 words, a word is the smallest addressable memory unit.  

8000 words can be addressed with [tex]2^{n}[/tex]  units. Now you have to find the value of n that approximates to the number of words.  

[tex]2^2=4\\2^4=16\\2^7=128\\2^{10}=1024\\2^{12}=4096\\2^{13}=8192[/tex]

So you can see that 13 bits are needed to address 8K words.

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