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Recent questions tagged floating-point-representation

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IEEE representation question (University of Virginia)
Let f₃₂ be the number of distinct numbers that can be represented in 4-byte IEEE-style floating point and u₃₂ be the number of distinct numbers that can be represented as...
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GATE CSE 2026 | Set 1 | Question: 26
Consider the real valued variables $X, Y$ and $Z$ represented using the IEEE $754$ singleprecision floating-point format. The binary representations of $X$ and $Y$ in hex...
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Practice Type | Computer Organisation | Floating Point Representation |
P and Q are 32 bit registers used to store IEEE single precision floating point notations (32 bit).Let content of P and Q are P = C0400000H and Q = 40400000H. The P * Q r...
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NPTEL Mock Test-2 2025-2026 | Q 36
A. exponent = 00000000 and mantissa = 00000000000000000000000B. exponent = 00000000 and mantissa = 00000000000000000000001C. exponent = 00000001 and mantissa = 0000000000...
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NIELIT Scientific Assistant June 2025 | Question: 104
Which of the following operations does a floating-point representation support that a fixed-point representation cannot?Arithmetic operations on integersOperations on ver...
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NIELIT Scientific Assistant June 2025 | Question: 77
Which method is commonly used for converting a decimal number into its binary equivalent in a floating-point representation?Successive division by $2$Successive subtracti...
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IEEE-754 Single Precision floating point
consider the IEEE-754 single precision floating point number p=0*C1800000 and Q=0*3F5C2EF4 which one of the following corresponds to the product of these numbers (p*q) r...
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IEEE 754 Floating Point Representation
Why Value of Exponent can't be Zero in case of Implicit Normalisation?
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ISI2024-MCS-PCB (CS) | Question: 7
A $32$ -bit pattern $\left(p_{31}, \ldots, p_{0}\right)$ is interpreted as a floating point number as follows.The $\operatorname{sign}$ bit is $s=p_{31}$. If $s=0$, the n...
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28 28 votes
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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:$$\begin{array}{|l|l|l|}\hline \textbf{Sign} & \textbf{Exponent} & \tex...
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GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 61
According to the IEEE standard, a 32-bit, single-precision, floating-point number $N$ is defined to be$$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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