Question

the decimal equivalent of the binary number 101011.101 is

Answer 1

The decimal equivalent is given by

(101011.101) base 2

=1×1+1×2+1×8+32×1+0.5×1+0.125×1

=436.25 base 10

So,

The decimal equivalent is 436.25

(I have skipped multiplication with zeroes as they will result in zero eventually)

Answer 2

Thank you for asking this question. Here is your answer:

101011.1012 in Binary number system and want to translate it into Decimal.  

To do this, at first translate it to decimal here so :  

101011.1012 = 1∙25+0∙24+1∙23+0∙22+1∙21+1∙20+1∙2-1+0∙2-2+1∙2-3 = 32+0+8+0+2+1+0.5+0+0.125 = 43.62510

101011.1012 = 43.62510

If there is any confusion please leave a comment below.