how determine base of given number like 302/20=12.1
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Answer Posted / mahfuz asif
Consider, 302 = 3b² + 0b + 2
20 = 2b + 0
12.1 = 1b + 2 + 1/b
Now,
(3b² + 2) / 2b = b + 2 + 1/b
3b² + 2 = 2b² + 4b + 2 [ multiplying by 2b ]
b² = 4b
So, b = 4
Therefore, base is 4.
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