Find P, if 4516 – P7 = 3056

Find P, if 4516 – P7 = 3056
  • A.
    627
  • B.
    1167
  • C.
    6117
  • D.
    1427
Correct Answer: Option B
Explanation

4516 – P7 = 3056
P7 = 4516 – 3056
P7 = 1426
convert 1426 = 1 * 62 + 4 * 61 + 2 * 60
= 36 + 24 + 2
= 62
Convert 6210 to base 7
62/7 = 8 R 6
8/7 = 1 R 1
1/7 = 0 R 1
∴P7 = 1167

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