Perform the addition

$86\mathrm{.}97(10)+52\mathrm{.}71(10)$

by converting the decimal numbers into binary first, carry out the addition and then convert the answer back to the Decimal number system.

Convert $86\mathrm{.}97(10)$ to its Binary equivalent:

$1010110\mathrm{.}1111$

Preview $(2)$

$($truncate your answer to $4$ places after the Binary point$)$

Convert $52\mathrm{.}71(10)$ to its Binary equivalent:

$110100\mathrm{.}1011$

Preview $(2)$

$($truncate your answer to $4$ places after the Binary point$)$

Perform the Addition of the two Binary numbers.

Binary sum is:

$10111111\mathrm{.}1010$

Preview $(2)$

Convert the Binary sum into its Decimal equivalent.

Decimal sum is:

$191\mathrm{.}625$

$(10)$

$($note that this Decimal equivalent will differ from the actual sum due to the

rounding error of keeping only $4$ places after the binary point$)$