What is the answer when 2434\(_6\) is divided by 42\(_6\)...
What is the answer when 2434\(_6\) is divided by 42\(_6\)?
236
356
526
556
Correct answer is B
Hint: Two methods can be used;
1. Direct division (if you know division in number bases)
2. Convert both sides to base 10, divide and convert your answer back to base 6. Your answer should be 356
2434\(_6\) to base 10
2 \(\times\) 6\(^3\) + 4 \(\times\) 6\(^2\) + 3 \(\times\) 6\(^1\) + 4 \(\times\) 6\(^0\)
2 \(\times\) 216 + 4 \(\times\) 36 + 3 \(\times\) 6 + 4 \(\times\) 1
432 + 144 + 18 + 4 = 598
And: 42\(_6\) to base 10
4 \(\times\) 6\(^1\) + 2 \(\times\) 6\(^0\)
4 \(\times\) 6 + 2 \(\times\) 1
24 + 2 = 26
Then divide 598 by 26
= 23
Then convert 23\(_{10}\) to base 6
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