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Roberto Church
Computers & Technology
4 October, 21:11
Convert 234.43 (base 7) to base 10
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Audrina Abbott
4 October, 21:13
0
123.6326
Explanation:
Given number in base 7 : 234.43
Converting to base 10:
Each digit needs to be multiplied by 7^ (position index)
Applying this for all the digits in the number:
=2 * 7^2 + 3*7^1 + 4*7^0 + 4*7^-1 + 3*7^-2
=2*49 + 3*7 + 4 + 4/7+3/49
=98 + 21 + 4 + 0.5714 + 0.0612
Separating the integer and fraction parts:
= (98 + 21 + 4) + (0.5714 + 0.0612)
=123.6326
So the base 10 equivalent value for 234.43 (base 7) is 123.6326
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