Question

Convert 234.43 (base 7) to base 10

Answer 1

Answer:

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