Floating Point Numbers

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COA: Floating Point Numbers
Topics discussed:
1. Understanding the Binary Floating-Point Numbers.
2. Conversion of fractions from Binary to Decimal and vice-versa.

Music:
Axol x Alex Skrindo - You [NCS Release]

#COAByNeso #ComputerOrganizationAndArchitecture #FloatingPointNumbers
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Thank you sir for such a good session. ❤

muhammadhashir
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36-bit floating-point binary number has 8 bits plus sign for the exponent. The coefficient is assumed to be a normalized fraction. The numbers in the coefficient and exponent are in sign- magnitude form. What are the largest and smallest positive quantities that can be accommodated, excluding zero?
شرح السؤال وشرح الحل باللغة العربية

zainabyahyaa-zn
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Sr plz explain floating point imprecision😊

procoder
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There is an easy method for converting decimal to binary
(0.625)dec = 0.625*(2^3)/(2^3) [multiply and divide by 2^3]
=5/(2^3) [multiply 0.625 with 2^3 & [you will get 5]
=101/(2^3) [convert 5 to binary]
=[0.101]bin [now move left to three points because there is no 3 in the power of 2]

you can use any number to the power of 2 but the same procedure need to be followed

jayaviswanathanj
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good, thanks. but if we were having 4 digits in our number system, it would still be base 10 :)))

devgdms
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I don't know how you got 0.984 x 2 = 1.936 from the decimal to binary since I got 1.968 and the calculator says the same.

Yoo-ov
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how to this in float addition operation explain how to came this vaue

tarunkumar
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Thoda jaldi hello everyone bol liya kro exam se ek raat pehle padhne aatey h hm 😂

ankitchoudhary
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You all think your so smart but you cant even take the first logical step of maths...if one is the smallest number after zero...how can i have 0.5??? A finger is a unit finger...but a unit finger is equal to lots of other stuff...

troyhayder