Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10
A
0
B
1
C
26
D
46
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Since they are of different base, convert to base 10
243\(_{six}\) = (2 x 62) + (4 x 61) + (3 x 60)
= 72 + 24 + 3 = 99 base 10
243\(_{six}\) = 2 x 52 + 4 x 51 +3 x 50
50 + 20 + 3 = 73 base 10
Subtracting them, 99 - 73
= 26
Source: Myschool Past Questions Archive (Record #47580)