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Convert 1100111.01011 base two to a number in base ten.
Question
Convert 1100111.01011 base two to a number in base ten.
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Mathematics
3 years
2021-08-22T04:02:25+00:00
2021-08-22T04:02:25+00:00 1 Answers
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Answers ( )
Answer:
103.84375
Step-by-step explanation:
First, indicate base 10 with a notation.
1100111.01011 = 1×2^6 + 1×2^5 + 0 + 0 + 1×2^2 + 1×2 + 1×2^0 +0 + 1×2^-2 + 0 + 1×2^-4 + 1×2^-5
Then, after partially solving, that will get you:
1100111.01011 = 64 + 32 + 4 + 2 + 1 + 1/2 + 1/4 + 1/16 + 1/32
Keep solving like so…
103 + 0.5 + 0.25.0.0625 + 0.03125
= 103 + 0.84375 = 103.84375
Hope this helped, I’m not the best at explaining converting bases.