Perform the addition

${46\mathrm{.}71}_{(10)}+{41\mathrm{.}65}_{(10)}$

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

Convert ${46\mathrm{.}71}_{(10)}$ to its Binary equivalent:

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

Convert ${41\mathrm{.}65}_{(10)}$ to its Binary equivalent:

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

$(2)$

Perform the Addition of the two Binary numbers.

Binary sum is:

$(2)$

Convert the Binary sum into its Decimal equivalent.

Decimal sum is:

$(10)$

$($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$)$