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 If x(n)=(0,0,1,2,3,4,0,0) then x(n-2) is:
  • a)
    (0,0,2,4,6,8,0,0)
  • b)
    (0,0,1,2,3,4,0,0)
  • c)
    (1,2,3,4,0,0,0,0)
  • d)
    (0,0,0,0,1,2,3,4)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If x(n)=(0,0,1,2,3,4,0,0) then x(n-2) is:a)(0,0,2,4,6,8,0,0)b)(0,0,1,2...
Explanation: The signal x(n) is shifted right by 2.
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Most Upvoted Answer
If x(n)=(0,0,1,2,3,4,0,0) then x(n-2) is:a)(0,0,2,4,6,8,0,0)b)(0,0,1,2...
Solution:

Given x(n) = (0,0,1,2,3,4,0,0)

To find x(n-2), we need to shift the sequence two positions to the right.

Shifting the sequence two positions to the right:
- The first two elements in x(n) will be shifted to the last two positions in x(n-2).
- The last two elements in x(n) will be shifted to the first two positions in x(n-2).
- The middle four elements in x(n) will be shifted two positions to the right in x(n-2).

Calculating x(n-2):
- The first two elements in x(n) are 0 and 0, which will be shifted to the last two positions in x(n-2). So, the last two positions in x(n-2) will be 0 and 0.
- The last two elements in x(n) are 0 and 0, which will be shifted to the first two positions in x(n-2). So, the first two positions in x(n-2) will be 0 and 0.
- The middle four elements in x(n) are 1, 2, 3, and 4. As these elements are shifted two positions to the right, they will form the remaining four positions in x(n-2). So, the remaining four positions in x(n-2) will be 1, 2, 3, and 4.

Therefore, x(n-2) = (0, 0, 1, 2, 3, 4, 0, 0).

Hence, the correct answer is option D) (0,0,0,0,1,2,3,4).
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