Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Search results for number-representation
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
20.3k
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
17.9k
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$$1101 0101$
Kathleen
19.0k
views
Kathleen
asked
Sep 18, 2014
Digital Logic
gatecse-2004
digital-logic
number-representation
easy
+
–
53
votes
3
answers
4
GATE CSE 2010 | Question: 8
$P$ is a $16$-bit signed integer. The $2$'s complement representation of $P$ is $(F87B)_{16}$. The $2$'s complement representation of $8\times P$ is $(C3D8)_{16}$ $(187B)_{16}$ $(F878)_{16}$ $(987B)_{16}$
$P$ is a $16$-bit signed integer. The $2$'s complement representation of $P$ is $(F87B)_{16}$. The $2$'s complement representation of $8\times P$ is$(C3D8)_{16}$$(187B)_{...
go_editor
16.2k
views
go_editor
asked
Sep 29, 2014
Digital Logic
gatecse-2010
digital-logic
number-representation
normal
+
–
29
votes
6
answers
5
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
14.3k
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
6
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
12.1k
views
Sandeep Singh
asked
Feb 12, 2016
Digital Logic
gatecse-2016-set1
digital-logic
number-representation
normal
numerical-answers
+
–
35
votes
9
answers
7
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
19.8k
views
Arjun
asked
Feb 7, 2019
Digital Logic
gatecse-2019
numerical-answers
digital-logic
number-representation
probability
1-mark
+
–
6
votes
2
answers
8
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
12.1k
views
admin
asked
Feb 15, 2023
Digital Logic
gatecse-2023
digital-logic
number-representation
numerical-answers
1-mark
+
–
44
votes
4
answers
9
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
21.7k
views
khushtak
asked
Feb 14, 2017
Digital Logic
gatecse-2017-set2
digital-logic
number-representation
floating-point-representation
ieee-representation
+
–
41
votes
4
answers
10
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
11.8k
views
Kathleen
asked
Sep 14, 2014
Digital Logic
gatecse-2000
digital-logic
number-representation
normal
+
–
29
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
12.0k
views
Kathleen
asked
Sep 14, 2014
Digital Logic
gatecse-2001
digital-logic
number-representation
easy
+
–
9
votes
5
answers
12
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
10.5k
views
go_editor
asked
Jun 10, 2016
Digital Logic
isro2007
digital-logic
number-representation
+
–
7
votes
3
answers
13
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
8.5k
views
Arjun
asked
Feb 15, 2022
Digital Logic
gatecse-2022
digital-logic
number-system
number-representation
2-marks
+
–
35
votes
5
answers
14
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
9.8k
views
go_editor
asked
Feb 15, 2015
Digital Logic
gatecse-2015-set3
digital-logic
number-representation
normal
numerical-answers
+
–
29
votes
6
answers
15
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
11.5k
views
Arjun
asked
Feb 14, 2017
Quantitative Aptitude
gatecse-2017-set2
quantitative-aptitude
numerical-computation
number-representation
+
–
65
votes
9
answers
16
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
16.5k
views
Arjun
asked
Feb 14, 2017
Digital Logic
gatecse-2017-set1
digital-logic
number-representation
fixed-point-representation
+
–
27
votes
6
answers
17
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
9.9k
views
Kathleen
asked
Sep 15, 2014
Digital Logic
gatecse-2002
digital-logic
number-representation
easy
+
–
54
votes
6
answers
18
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
18.4k
views
Rucha Shelke
asked
Sep 26, 2014
Digital Logic
gatecse-2006
digital-logic
number-representation
normal
+
–
9
votes
2
answers
19
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 $-2^{-146}?$ $\textsf{0x80000004}$ $\textsf{0x80000008}$ $\textsf{0x80000010}$ $\textsf{0x80000002}$
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}?$$...
GO Classes
729
views
GO Classes
asked
Jan 28
CO and Architecture
goclasses2024-mockgate-13
goclasses
co-and-architecture
number-representation
ieee-representation
2-marks
+
–
5
votes
2
answers
20
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 61
According to the IEEE standard, a 32-bit, single-precision, floating-point number $N$ is defined to be $ N=(-1)^S \times 1 . F \times 2^{E-127} $ where $S$ is the sign bit, $F$ the fractional mantissa, and $E$ the biased exponent. A floating- ... $\left(1-2^{-23}\right) * 2^{128}$ $\left(1+\left(1-2^{-23}\right)\right) * 2^{128}$
According to the IEEE standard, a 32-bit, single-precision, floating-point number $N$ is defined to be$$N=(-1)^S \times 1 . F \times 2^{E-127}$$where $S$ is the sign bit,...
GO Classes
524
views
GO Classes
asked
Feb 5
Digital Logic
goclasses2024-mockgate-14
digital-logic
number-representation
ieee-representation
floating-point-representation
2-marks
+
–
Page:
1
2
next »
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register