Decimal Number

Write the binary number 110101.011 1 2 110101.0111_2 as a decimal number.

Note: If your answer is 21.02 5 2 21.025_{2} , input your answer as 21.025 21.025 only.


The answer is 53.4375.

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1 solution

110101.011 1 2 = 1 ( 2 5 ) + 1 ( 2 4 ) + 0 ( 2 3 ) + 1 ( 2 2 ) + 0 ( 2 1 ) + 1 ( 2 0 ) + 0 ( 2 1 ) + 1 ( 2 2 ) + 1 ( 2 3 ) + 1 ( 2 4 ) 110101.0111_2=1(2^5)+1(2^4)+0(2^3)+1(2^2)+0(2^1)+1(2^0)+0(2^{-1})+1(2^{-2})+1(2^{-3})+1(2^{-4})

110101.011 1 2 = 3 2 10 + 1 6 10 + 0 + 4 10 + 0 + 1 10 + 0 + 0.2 5 10 + 0.12 5 10 + 0.062 5 10 = 53.437 5 10 110101.0111_2= 32_{10}+16_{10} +0+ 4_{10}+0+1_{10} + 0+0.25_{10}+0.125_{10}+0.0625_{10}=53.4375_{10}

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