Question

Find the remainder when (345672) in base 9 is divided by 8.

• A. 1
• B. 2
• C. 3
• D. 7

Answer 1

Answer: (C)

3

Answer 2

To begin with, let’s convert (345672)b to base 10.
= 2 × 90 + 7 × 91 + 6 × 92 + 5 × 93 + 4 × 94 + 3 × 95
Remainder $[\frac{2×9^0+7×9^1+6×9^2+5×9^3+4×9^4+3×9^4}{8}]$
Remainder $[\frac{2×1^0+7×1^1+6×1^2+5×1^3+4×1^4+3×1^5}{8}]$
Remainder $\frac{[2+7+6+5+4+3]}{8}$ = Remainder $\frac{27}{8}=3$
So, the correct option is (C) : 3.