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To address a memory location out of N memory locations, the number of address lines required is
  • a)
    log N (to the base 2)
  • b)
    log N (to the base 10)
  • c)
    log N (to the base e)
  • d)
    log (2N) (to the base e)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
To address a memory location out of N memory locations, the number of ...
 For n memory locations, log n(to the base of 2) address lines are required. For addressing 4K bytes of memory, 12 address lines are required since log(4KB) =log(4*1024)=log(212)=12.
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Most Upvoted Answer
To address a memory location out of N memory locations, the number of ...
Explanation:

Addressing Memory Locations:
- When accessing memory locations in a computer system, each location is assigned a unique address.
- The number of bits required to represent the address of a memory location is determined by the total number of memory locations N.

Number of Address Lines:
- The number of address lines required to address N memory locations can be calculated using the formula:
Number of Address Lines = log₂(N)
- This formula is derived from the fact that each address line can represent 2 different states (0 or 1), and by using log₂, we can determine the number of bits required to represent N different states.

Answer Justification:
- Option 'A' (log N to the base 2) is the correct answer because it aligns with the formula for calculating the number of address lines required to address N memory locations.
- Options 'B', 'C', and 'D' involve different bases in the logarithm, which do not correspond to the binary nature of memory addressing in computer systems.

Conclusion:
- In conclusion, when addressing a memory location out of N memory locations, the number of address lines required is log N (to the base 2) to ensure all memory locations can be uniquely accessed.
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To address a memory location out of N memory locations, the number of address lines required isa)log N (to the base 2)b)log N (to the base 10)c)log N (to the base e)d)log (2N) (to the base e)Correct answer is option 'A'. Can you explain this answer?
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