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91
votes
7
answers
1
GATE CSE 2006 | Question: 40
Consider numbers represented in 4-bit Gray code. Let $ h_{3}h_{2}h_{1}h_{0}$ be the Gray code representation of a number $n$ and let $ g_{3}g_{2}g_{1}g_{0}$ be the Gray code of $ (n+1)(modulo 16)$ ... $ g_{3}(h_{3}h_{2}h_{1}h_{0})=\sum (0,1,6,7,10,11,12,13) $
Consider numbers represented in 4-bit Gray code. Let $ h_{3}h_{2}h_{1}h_{0}$ be the Gray code representation of a number $n$ and let $ g_{3}g_{2}g_{1}g_{0}$ be the Gray...
Rucha Shelke
20.6k
views
Rucha Shelke
asked
Sep 26, 2014
Digital Logic
gatecse-2006
digital-logic
number-representation
binary-codes
normal
+
–
65
votes
9
answers
2
GATE CSE 2003 | Question: 43
The following is a scheme for floating point number representation using $16$ bits. Let $s, e,$ and $m$ ... between two successive real numbers representable in this system? $2^{-40}$ $2^{-9}$ $2^{22}$ $2^{31}$
The following is a scheme for floating point number representation using $16$ bits.Let $s, e,$ and $m$ be the numbers represented in binary in the sign, exponent, and man...
Kathleen
18.1k
views
Kathleen
asked
Sep 17, 2014
Digital Logic
gatecse-2003
digital-logic
number-representation
floating-point-representation
normal
+
–
27
votes
5
answers
3
GATE CSE 2004 | Question: 66
Let $A = 1111 1010$ and $B = 0000 1010$ be two $8-bit$ $2’s$ complement numbers. Their product in $2’s$ complement is $1100 0100$ $1001 1100$ $1010 0101$ $1101 0101$
Let $A = 1111 1010$ and $B = 0000 1010$ be two $8-bit$ $2’s$ complement numbers. Their product in $2’s$ complement is$1100 0100$$1001 1100$$1010 0101$$1101 0101$
Kathleen
19.2k
views
Kathleen
asked
Sep 18, 2014
Digital Logic
gatecse-2004
digital-logic
number-representation
easy
+
–
3
votes
3
answers
4
UGC NET CSE | December 2013 | Part 2 | Question: 32
Given that $(292)_{10} = (1204)_x$ in some number system $x$. The base $x$ of that number system is 2 8 10 None of the above
Given that $(292)_{10} = (1204)_x$ in some number system $x$. The base $x$ of that number system is2810None of the above
go_editor
30.1k
views
go_editor
asked
Jul 26, 2016
Digital Logic
ugcnetcse-dec2013-paper2
digital-logic
number-system
+
–
53
votes
3
answers
5
GATE CSE 2010 | Question: 8
$P$ is a $16$-bit signed integer. The $2$'s complement representation of $P$ is $(F87B)_{16}$. The $2$'s complement representation of $8\times P$ is $(C3D8)_{16}$ $(187B)_{16}$ $(F878)_{16}$ $(987B)_{16}$
$P$ is a $16$-bit signed integer. The $2$'s complement representation of $P$ is $(F87B)_{16}$. The $2$'s complement representation of $8\times P$ is$(C3D8)_{16}$$(187B)_{...
go_editor
16.4k
views
go_editor
asked
Sep 29, 2014
Digital Logic
gatecse-2010
digital-logic
number-representation
normal
+
–
29
votes
6
answers
6
GATE CSE 2021 Set 2 | Question: 44
If the numerical value of a $2$-byte unsigned integer on a little endian computer is $255$ more than that on a big endian computer, which of the following choices represent(s) the unsigned integer on a little endian computer? $0\text{x}6665$ $0\text{x} 0001$ $0\text{x} 4243$ $0\text{x} 0100$
If the numerical value of a $2$-byte unsigned integer on a little endian computer is $255$ more than that on a big endian computer, which of the following choices represe...
Arjun
14.5k
views
Arjun
asked
Feb 18, 2021
Digital Logic
gatecse-2021-set2
multiple-selects
digital-logic
number-representation
little-endian-big-endian
2-marks
+
–
34
votes
9
answers
7
GATE CSE 2016 Set 1 | Question: 07
The $16\text{-bit}\;2's$ complement representation of an integer is $1111 \quad 1111 \quad 1111 \quad 0101;$ its decimal representation is ____________
The $16\text{-bit}\;2's$ complement representation of an integer is $1111 \quad 1111 \quad 1111 \quad 0101;$ its decimal representation is ____________
Sandeep Singh
12.3k
views
Sandeep Singh
asked
Feb 12, 2016
Digital Logic
gatecse-2016-set1
digital-logic
number-representation
normal
numerical-answers
+
–
45
votes
4
answers
8
GATE CSE 2017 Set 2 | Question: 12
Given the following binary number in $32$-bit (single precision) $\text{IEEE-754}$ format : $\large 00111110011011010000000000000000$ The decimal value closest to this floating-point number is : $1.45*10^1$ $1.45*10^{-1}$ $2.27*10^{-1}$ $2.27*10^1$
Given the following binary number in $32$-bit (single precision) $\text{IEEE-754}$ format : $\large 00111110011011010000000000000000$Th...
khushtak
21.9k
views
khushtak
asked
Feb 14, 2017
Digital Logic
gatecse-2017-set2
digital-logic
number-representation
floating-point-representation
ieee-representation
+
–
35
votes
9
answers
9
GATE CSE 2019 | Question: 22
Two numbers are chosen independently and uniformly at random from the set $\{1,2,\ldots,13\}.$ The probability (rounded off to $3$ decimal places) that their $4\text{-bit}$ (unsigned) binary representations have the same most significant bit is ___________.
Two numbers are chosen independently and uniformly at random from the set $\{1,2,\ldots,13\}.$The probability (rounded off to $3$ decimal places) that their $4\text{-bit}...
Arjun
20.1k
views
Arjun
asked
Feb 7, 2019
Digital Logic
gatecse-2019
numerical-answers
digital-logic
number-representation
probability
1-mark
+
–
6
votes
2
answers
10
GATE CSE 2023 | Question: 22
A particular number is written as $132$ in radix-$4$ representation. The same number in radix-$5$ representation is _____________.
A particular number is written as $132$ in radix-$4$ representation. The same number in radix-$5$ representation is _____________.
admin
12.5k
views
admin
asked
Feb 15, 2023
Digital Logic
gatecse-2023
digital-logic
number-representation
numerical-answers
1-mark
+
–
30
votes
4
answers
11
GATE CSE 2001 | Question: 2.10
The $2's$ complement representation of (-539)10 in hexadecimal is $ABE$ $DBC$ $DE5$ $9E7$
The $2's$ complement representation of (-539)10 in hexadecimal is$ABE$$DBC$$DE5$$9E7$
Kathleen
12.1k
views
Kathleen
asked
Sep 14, 2014
Digital Logic
gatecse-2001
digital-logic
number-representation
easy
+
–
41
votes
4
answers
12
GATE CSE 2000 | Question: 2.14
Consider the values of $A = 2.0 \times 10^{30}, B = -2.0 \times 10^{30}, C = 1.0,$ and the sequence X:= A + B Y:= A + C X:= X + C Y:= Y + B executed on a computer where floating point numbers are represented with $32$ bits. The values for $X$ and $Y$ will be $X = 1.0, Y = 1.0$ $X = 1.0, Y = 0.0$ $X = 0.0, Y = 1.0$ $X = 0.0, Y = 0.0$
Consider the values of $A = 2.0 \times 10^{30}, B = -2.0 \times 10^{30}, C = 1.0,$ and the sequence X:= A + B Y:= A + C X:= X + C Y:= Y + Bexecuted on a computer where fl...
Kathleen
12.0k
views
Kathleen
asked
Sep 14, 2014
Digital Logic
gatecse-2000
digital-logic
number-representation
normal
+
–
36
votes
5
answers
13
GATE CSE 2015 Set 3 | Question: 35
Consider the equation $(43)_x = (y3)_8$ where $x$ and $y$ are unknown. The number of possible solutions is _____
Consider the equation $(43)_x = (y3)_8$ where $x$ and $y$ are unknown. The number of possible solutions is _____
go_editor
10.0k
views
go_editor
asked
Feb 15, 2015
Digital Logic
gatecse-2015-set3
digital-logic
number-representation
normal
numerical-answers
+
–
9
votes
5
answers
14
ISRO2007-04
When two numbers are added in excess-$3$ code and the sum is less than $9$, then in order to get the correct answer it is necessary to subtract $0011$ from the sum add $0011$ to the sum subtract $0110$ from the sum add $0110$ to the sum
When two numbers are added in excess-$3$ code and the sum is less than $9$, then in order to get the correct answer it is necessary tosubtract $0011$ from the sumadd $001...
go_editor
10.6k
views
go_editor
asked
Jun 10, 2016
Digital Logic
isro2007
digital-logic
number-representation
+
–
7
votes
3
answers
15
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}},$ respectively as per $\textsf{IEEE-754}$ single precision floating point format. The $\text{32-bit}$ content stored in ... $\textit{A + C} = 0$ $\textit{C = A + B}$ $\textit{B =3C}$ $\textit{(B - C)} > 0$
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...
Arjun
8.7k
views
Arjun
asked
Feb 15, 2022
Digital Logic
gatecse-2022
digital-logic
number-system
number-representation
2-marks
+
–
29
votes
6
answers
16
GATE CSE 2017 Set 2 | Question: GA-8
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^3$ will have $90$ digits $91$ digits $92$ digits $93$ digits
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^3$ will have$90$ digits$91$ digits$92$ digits$93$ digits
Arjun
11.6k
views
Arjun
asked
Feb 14, 2017
Quantitative Aptitude
gatecse-2017-set2
quantitative-aptitude
numerical-computation
number-representation
+
–
65
votes
9
answers
17
GATE CSE 2017 Set 1 | Question: 7
The n-bit fixed-point representation of an unsigned real number $X$ uses $f$ bits for the fraction part. Let $i = n-f$. The range of decimal values for $X$ in this representation is $2^{-f}$ to $2^{i}$ $2^{-f}$ to $\left ( 2^{i} - 2^{-f} \right )$ 0 to $2^{i}$ 0 to $\left ( 2^{i} - 2^{-f} \right )$
The n-bit fixed-point representation of an unsigned real number $X$ uses $f$ bits for the fraction part. Let $i = n-f$. The range of decimal values for $X$ in this repres...
Arjun
16.7k
views
Arjun
asked
Feb 14, 2017
Digital Logic
gatecse-2017-set1
digital-logic
number-representation
fixed-point-representation
+
–
27
votes
6
answers
18
GATE CSE 2002 | Question: 1.15
The $2's$ complement representation of the decimal value $-15$ is $1111$ $11111$ $111111$ $10001$
The $2's$ complement representation of the decimal value $-15$ is$1111$$11111$$111111$$10001$
Kathleen
10.0k
views
Kathleen
asked
Sep 15, 2014
Digital Logic
gatecse-2002
digital-logic
number-representation
easy
+
–
54
votes
6
answers
19
GATE CSE 2006 | Question: 39
We consider the addition of two $2's$ complement numbers $ b_{n-1}b_{n-2}\dots b_{0}$ and $a_{n-1}a_{n-2}\dots a_{0}$. A binary adder for adding unsigned binary numbers is used to add the two numbers. The sum is denoted by $ c_{n-1}c_{n-2}\dots c_{0}$ and the ... $ c_{out}\oplus c_{n-1}$ $ a_{n-1}\oplus b_{n-1}\oplus c_{n-1}$
We consider the addition of two $2's$ complement numbers $ b_{n-1}b_{n-2}\dots b_{0}$ and $a_{n-1}a_{n-2}\dots a_{0}$. A binary adder for adding unsigned binary numbers i...
Rucha Shelke
18.7k
views
Rucha Shelke
asked
Sep 26, 2014
Digital Logic
gatecse-2006
digital-logic
number-representation
normal
+
–
6
votes
1
answer
20
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 9
The positive integers are arranged in rows and columns, as shown, and described below. The odd numbered rows list six positive integers in order from left to right beginning in column B. The even numbered rows list six positive integers in order from ... row = 836) row $=837$, column $=\mathrm{D}$ row $=837$, column $=\mathrm{E}$
The positive integers are arranged in rows and columns, as shown, and described below.The odd numbered rows list six positive integers in order from left to right beginni...
GO Classes
994
views
GO Classes
asked
Feb 5
Quantitative Aptitude
goclasses2024-mockgate-14
quantitative-aptitude
number-system
2-marks
+
–
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