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Recent questions tagged floating-point-representation

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GATE CSE 2024 | Set 2 | Question: 4
​​The format of a single-precision floating-point number as per the $\text{IEEE 754}$ standard is:Sign ExponentMantissa$(1 \mathrm{bit})$ $(8 \mathrm{bits})$ $(23 \ma...
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GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 61
According to the IEEE standard, a 32-bit, single-precision, floating-point number $N$ is defined to be$$N=(-1)^S \times 1 . F \times 2^{E-127}$$where $S$ is the sign bit,...
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GATE CSE 2023 | Question: 35
Consider the $\textsf{IEEE-754}$ single precision floating point numbers $\text{P} = \textsf{0xC1800000}$ and $\text{Q} = \textsf{0x3F5C2EF4}.$Which one of the following ...
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Best Open Video Playlist for Floating Point Representation Topic | Digital Logic
Please list out the best free available video playlist for Floating Point Representation Topic from Digital Logic as an answer here (only one playlist per answer). We'll ...
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Floating point representation
What is the 16 bits pattern which represent (-13.5) in normalized signed magnitude fraction . S = 1 bit , Exponent = 7 bits , Mantissa = 8 bits . Represent it in hexadeci...
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GATE CSE 2022 | Question: 31
Consider three floating point numbers $\textit{A, B}$ and $\textit{C}$ stored in registers $\text{R}_{\text{A}}, \text{R}_{\text{B}}$ and $\text{R}_{\text{C}},$ respectiv...
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Pearson Gate 2022 CSE , Computer Organization and Architecture, Chapter 2 , Question 17, Page 2.28
What will be the answer to the following question?
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GATE CSE 2021 Set 2 | Question: 4
The format of the single-precision floating point representation of a real number as per the $\text{IEEE 754}$ standard is as follows:$$\begin{array}{|c|c|c|} \hline \tex...
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GATE CSE 2021 Set 1 | Question: 24
Consider the following representation of a number in $\text{IEEE 754}$ single-precision floating point format with a bias of $127$.$$S: 1\quad\quad E:\; 10000001\quad\qu...
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GATE CSE 2020 | Question: 29
Consider three registers $R1$, $R2$, and $R3$ that store numbers in $\textsf{IEEE-754}$ single precision floating point format. Assume that $R1$ and $R2$ contain the valu...
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ISRO2020-5
An array of $2$ two byte integers is stored in big endian machine in byte addresses as shown below. What will be its storage pattern in little endian machine ?$$\begin{ar...
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IEEE 754 Standard
In IEEE $754$ single floating point format, how many numbers can be represented in the interval [10, 16)? A. $2^{21}$ B. $3 * 2^{21}$ C. $5 * 2^{21}$ ...
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next larger double precision number is 2P
The difference between 201 and next larger double precisionnumber is 2P, if IEEE double precision format is used then thevalue of P is ________.what is next larger precis...
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SELF DOUBT
In Single Precision floating point number when E=0 and M not equals to 0 it represents a fractional form..(BiAS=+127)when writing the decimal form why do we right (-1)^S...
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IEEE smallest difference
What is the minimum difference between two successive real numbers representable in this system?
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confusion
Bias formula for floating point representation is 2^k-1bias formula for IEEE floating point representation is 2^(k-1)-1 Is it right????
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single precision number Made easy CBT 2019
how to solve this
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#digital
.binary number 1.11111…………. are give find decimal number
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ACE Test Series
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Self-doubt
In floating point representations , how to determine what is to be subtracted from the exponent ?In 32 bit representation, somewhere it is said to subtract 128 from the e...
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UGC NET CSE | December 2018 | Part 2 | Question: 16
The decimal floating point number $-40.1$ represented using $\textsf{IEEE-754} \: 32$-bit representation and written in hexadecimal form is$\textsf{0x}C2206666$$\textsf{0...
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Gateforum Test Series: Digital Logic - Floating Point Representation
What is the largest mantissa we can store in floating-point format if the size of the mantissa field is m-bit and exponent field is e-bit? The mantissa is normalized and ...
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Floating point
What's the funda about de-normalization?Like when to apply, when not to? What do we exactly infer from 'number in the denormal form'?Ex: +6.25 stored as 0 1001 10010 (S B...
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MadeEasy Test Series: Digital Logic - Floating Point Representation
Consider a modified 8-bit floating point representation in which 1-bit for sign, 3-bit for exponent and 4-bit for significant. What will be representation for decimal val...
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IEEE floating point representation
Can someone please help in highlighted part. Thanks
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IEEE 754 Implicit and Explicit 1 Representation
Represent $(2.5)_{10}$ in IEEE 754 Single precision standard:When 1 is implicit.When 1 is explicit.For the part A I am getting:-0100 0000010 0000 And for part B:-0100 000...
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Floating point
Consider the following bit pattern represents the floating point number in IEEE 754 single precision format: 1 10000111 11100000000000000000000Which of the following repr...
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ME Test Series
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