Question

Convert 1010.10102 binary floating point to decimal floating point.

Answer #1

1010.10102 binary floating point to decimal floating point.

first 2 is wrong here. 2 can't be there in Binary representation

so the no you gave is wrong so i am solving on number

I hope you Understand

number = (1010.1010)_{2}

(1010.1010)_{2} = (10.625)_{10}

to convert into Decimal floating point

We will Separate the sign exponent and the mantissa

We will now multiply the the numbers having place value once with
2^{0} tens place with 2^{1} hundreth place with
2^{2} and so on.

In decimal we will start with negative powers of 2 as
2^{-1},2^{-2} and so on

now we will get Ans as
**(10.625) _{10}**

You can comment if you have any doubt.

Upvote if you got your answer.

Thanks

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