Question 2
Number BasesIf 2257 is the result of subtracting 4577 from 7056 in base n find n
- A.8
- B.9
- C.10
- D.11
Show the answer and explanation
Answer: A (8)
Explanation
The digit 7 rules out bases below 8. In base 8, 7056 = 3630 and 4577 = 2431 in base ten; 3630 − 2431 = 1199, and 2257 in base 8 is also 1199. So n = 8.