If (1101)x = (241)16, then what is the value of x?
2018
If (1101)x = (241)16, then what is the value of x?
- A.
2
- B.
4
- C.
8
- D.
10
Attempted by 93 students.
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Correct answer: C
(241)₁₆ converts to decimal as 2×256 + 4×16 + 1 = 577.
(1101)ₓ expands to x³ + x² + 1. Equating gives x³ + x² = 576.
Substituting x=8 yields 512 + 64 = 576, confirming the value.