Question

how to convert 345.678
from decimal to binary ​

Answer 1

Answer:

101011001.10101101100

Explanation:

Whole part of a number is obtained by dividing on the basis new

345 2        

-344 172 2        

1 -172 86 2      

0 -86 43 2      

0 -42 21 2    

1 -20 10 2    

1 -10 5 2  

0 -4 2 2  

1 -2 1  

0  

Translation of numbers from one system to another

Happened:34510 = 1010110012

The fractional part of number is found by multiplying on the basis new

Translation of numbers from one system to another

0 .678

. 2

1 356

2

0 712

2

1 424

2

0 848

2

1 696

2

1 392

2

0 784

2

1 568

2

1 136

2

0 272

2

0 544

2

Happened:0.67810 = 0.101011011002

Add up together whole and fractional part here so:

1010110012 + 0.101011011002 = 101011001.101011011002

Result of converting:

345.678 = 101011001.10101101100

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