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2's complement
2's complement representation
Recent questions tagged number-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 Exponent Mantissa $(1 \mathrm{bit})$ $(8 \mathrm{bits})$ $(23 \mathrm{bits})$ Choose the largest floating- ... $0$ $11111111$ $11111111111111111111111$ Sign Exponent Mantissa $0$ $01111111$ $00000000000000000000000$
Arjun
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Feb 16
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Arjun
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2
GATE CSE 2024 | Set 2 | Question: 39
Which of the following is/are EQUAL to $224$ in radix - $5$ (i.e., base - $5$) notation? $64$ in radix -10 $100$ in radix -8 $50$ in radix -16 $121$ in radix -7
Arjun
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Digital Logic
Feb 16
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Arjun
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gatecse2024-set2
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3
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1
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3
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 29
The largest positive number in 2's complement format represented with 8-bits is: $(\mathrm{FF})_{16}$ $(128)_{10}$ $(777)_8$ $(01111111)_2$
GO Classes
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Digital Logic
Feb 5
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GO Classes
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goclasses2024-mockgate-14
digital-logic
number-representation
1-mark
5
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2
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4
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, $F$ the fractional mantissa, and $E$ the biased exponent. A floating- ... $\left(1-2^{-23}\right) * 2^{128}$ $\left(1+\left(1-2^{-23}\right)\right) * 2^{128}$
GO Classes
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Digital Logic
Feb 5
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GO Classes
511
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goclasses2024-mockgate-14
digital-logic
number-representation
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5
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1
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5
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 29
In two's complement, what is the minimum number of bits needed to represent the numbers $-1$ and the number $1$ respectively? $1$ and $2$ $2$ and $2$ $2$ and $1$ $1$ and $1$
GO Classes
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Digital Logic
Jan 28
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GO Classes
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goclasses2024-mockgate-13
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digital-logic
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9
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GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 53
Suppose we use $\textsf{IEEE-754}$ single precision floating point format to represent the numbers in binary. What will be the hexadecimal representation of $-2^{-146}?$ $\textsf{0x80000004}$ $\textsf{0x80000008}$ $\textsf{0x80000010}$ $\textsf{0x80000002}$
GO Classes
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CO and Architecture
Jan 28
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GO Classes
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goclasses2024-mockgate-13
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4
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1
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GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 58
Your code is required to perform the function $(\text{M}\%16) \ast 3.$ What should you do to eliminate multiplication ($\ast$) and mod($\%$), assuming $\mathrm{M}$ is $32$ bits wide? shift $\text{M}$ right by $4,$ ... $0000000 \mathrm{Fh}$, save the result, shift result left by $2,$ and add the saved result to current result.
GO Classes
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CO and Architecture
Jan 28
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GO Classes
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goclasses2024-mockgate-13
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co-and-architecture
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2-marks
4
votes
1
answer
8
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 17
Consider the bit pattern $10110110.$ Interpret this bit pattern as a $8$-bit $2$'s complement number. What is the largest magnitude negative number that can be added to this value without causing $8$-bit $2$'s complement overflow? (Write your answer in decimal, only the magnitude, not the sign)
GO Classes
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Digital Logic
Jan 13
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GO Classes
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goclasses2024-mockgate-11
goclasses
numerical-answers
digital-logic
number-representation
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0
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9
GATE 2018 MOCK | GFG | Digital Logic
IEEE Standard 754 floating point is the most common representation today for real numbers on computers. The diagram below shows these parts are store--d in memory: The IEEE 754 standard includes special cases for numbers that are difficult to represent, ... $+/-$ Denormalized number (C) Code-3 represented $+/-$ Infinity (D) Code-4 represented number Zero
rajveer43
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in
Digital Logic
Jan 12
by
rajveer43
117
views
digital-logic
number-representation
number-system
ieee-representation
2
votes
1
answer
10
madeeasy
The decimal equivalent of given 2’s complement number $(110101011.1101)_2$ is:
nihal_chourasiya
asked
in
Digital Logic
Nov 1, 2023
by
nihal_chourasiya
349
views
digital-logic
number-representation
made-easy-test-series
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