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GATE19891vi
It would be helpful if you provide me the solution. i'm not able to understand the solution which is given in go site. please provide me detailed explanation GATE19891vi Consider an excess  50 representation for floating point ... digit exponent in normalised form. The minimum and maximum positive numbers that can be represented are __________ and _____________ respectively.
asked
Apr 20
in
Digital Logic
by
varunraj
(
9
points)

10
views
numberrepresentation
digitallogic
floatingpointrepresentation
0
votes
0
answers
GATE2017212 Video Solution
Given the following binary number in $32$bit (single precision) $IEEE754$ format : $\large 00111110011011010000000000000000$ The decimal value closest to this floatingpoint number is : $1.45*10^1$ $1.45*10^{1}$ $2.27*10^{1}$ $2.27*10^1$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate20172
digitallogic
numberrepresentation
floatingpointrepresentation
ieeerepresentation
videosolution
0
votes
0
answers
GATE19952.12, ISRO20159 Video Solution
The number of $1$'s in the binary representation of $(3*4096 + 15*256 + 5*16 + 3)$ are: $8$ $9$ $10$ $12$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

3
views
gate1995
digitallogic
numberrepresentation
normal
isro2015
videosolution
0
votes
0
answers
GATE200639 Video Solution
We consider the addition of two $2's$ complement numbers $ b_{n1}b_{n2}\dots b_{0}$ and $a_{n1}a_{n2}\dots a_{0}$. A binary adder for adding unsigned binary numbers is used to add the two numbers. The sum is denoted by $ c_{n1}c_{n2}\dots c_{0}$ and the carryout ... $ c_{out}\oplus c_{n1}$ $ a_{n1}\oplus b_{n1}\oplus c_{n1}$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

3
views
gate2006
digitallogic
numberrepresentation
normal
videosolution
0
votes
0
answers
GATE19961.25 Video Solution
Consider the following floatingpoint number representation.$\begin{array}{cc} \begin{array}{cc}31\;\;\hspace{15pt}&\hspace{15pt}24\end{array} & \begin{array}{cc}23\hspace{15pt}&\hspace{15pt}0\end{array} \\\hline \text{Exponent}&\text{Mantissa}\\ \hline \end{array}$The ... to $1$ $0.5$ to $1$ $2^{23}$ to $0.5$ $0.5$ to $\left(12^{23}\right)$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate1996
digitallogic
numberrepresentation
normal
videosolution
0
votes
0
answers
GATE200343 Video Solution
The following is a scheme for floating point number representation using 16 bits. Bit Position 15 14 .... 9 8 ...... 0 s e m Sign Exponent Mantissa Let s, e, and m be the numbers represented in binary in the sign, exponent, and mantissa fields respectively. ... between two successive real numbers representable in this system? $2^{40}$ $2^{9}$ $2^{22}$ $2^{31}$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2003
digitallogic
numberrepresentation
floatingpointrepresentation
normal
videosolution
0
votes
0
answers
GATE200640 Video Solution
Consider numbers represented in 4bit 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) $
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

3
views
gate2006
digitallogic
numberrepresentation
binarycodes
normal
videosolution
0
votes
0
answers
GATE201922 Video Solution
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 $4bit$ (unsigned) binary representations have the same most significant bit is _______________.
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

4
views
gate2019
numericalanswers
digitallogic
numberrepresentation
probability
videosolution
0
votes
0
answers
GATE201717 Video Solution
The nbit fixedpoint representation of an unsigned real number $X$ uses $f$ bits for the fraction part. Let $i = nf$. 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 $\left ( 2^{i}  2^{f} \right )$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate20171
digitallogic
numberrepresentation
fixedpointrepresentation
videosolution
0
votes
0
answers
GATE200428 Video Solution
What is the result of evaluating the following two expressions using threedigit floating point arithmetic with rounding? $(113. + 111.) + 7.51$ $113. + (111. + 7.51)$ $9.51$ and $10.0$ respectively $10.0$ and $9.51$ respectively $9.51$ and $9.51$ respectively $10.0$ and $10.0$ respectively
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2004
digitallogic
numberrepresentation
normal
videosolution
0
votes
0
answers
GATE200585a Video Solution
Consider the following floatingpoint format. Mantissa is a pure fraction in signmagnitude form. The decimal number 0.239 $\times$ 2$^{13}$ has the following hexadecimal representation (without normalization and rounding off): 0D 24 0D 4D 4D 0D 4D 3D
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2005
digitallogic
numberrepresentation
floatingpointrepresentation
normal
videosolution
0
votes
0
answers
GATE2006IT7, ISRO200941 Video Solution
The addition of $4bit$, two's complement, binary numbers $1101$ and $0100$ results in $0001$ and an overflow $1001$ and no overflow $0001$ and no overflow $1001$ and an overflow
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2006it
digitallogic
numberrepresentation
normal
isro2009
videosolution
0
votes
0
answers
GATE20108 Video Solution
$P$ 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 $(C3D8)_{16}$ $(187B)_{16}$ $(F878)_{16}$ $(987B)_{16}$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2010
digitallogic
numberrepresentation
normal
videosolution
0
votes
0
answers
GATE201719 Video Solution
When two 8bit numbers $A_{7}...A_{0}$ and $B_{7}...B_{0}$ in 2's complement representation (with $A_{0}$ and $B_{0}$ as the least significant bits) are added using a ripplecarry adder, the sum bits obtained are $S_{7}...S_{0}$ and the carry bits are $C_{7}...C_{0}$. ... $\left ( A_{0}.B_{0}.\bar{S_{0}}+\bar{A_{0}}.\bar{B_{0}}.S_{0} \right )$ is 1
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate20171
digitallogic
numberrepresentation
videosolution
0
votes
0
answers
GATE2008IT15 Video Solution
A processor that has the carry, overflow and sign flag bits as part of its program status word (PSW) performs addition of the following two $2's$ complement numbers $01001101$ and $11101001$. After the execution of this addition operation, the status of the carry, overflow and sign flags, respectively will be: $1, 1, 0$ $1, 0, 0$ $0, 1, 0$ $1, 0, 1$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2008it
digitallogic
numberrepresentation
normal
videosolution
0
votes
1
answer
GATE19991.20 Video Solution
Booth's coding in $8$ bits for the decimal number $57$ is: $0100+1000$ $0100+1001$ $01+10010+1$ $0010+1001$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

7
views
gate1999
digitallogic
numberrepresentation
boothsalgorithm
normal
videosolution
0
votes
0
answers
GATE20172GA8 Video Solution
$X$ 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
asked
Apr 19
in
Numerical Ability
by
admin
(
3.6k
points)

2
views
gate20172
numericalability
numericalcomputation
numberrepresentation
videosolution
0
votes
0
answers
GATE2016107 Video Solution
The $16 bit$ $2's$ complement representation of an integer is $1111 \quad 1111 \quad 1111 \quad 0101$; its decimal representation is ______________
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

3
views
gate20161
digitallogic
numberrepresentation
normal
numericalanswers
videosolution
0
votes
0
answers
GATE200516, ISRO200918, ISRO20152 Video Solution
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

4
views
gate2005
digitallogic
numberrepresentation
easy
isro2009
isro2015
videosolution
0
votes
0
answers
GATE200466 Video Solution
Let $A = 1111 1010$ and $B = 0000 1010$ be two $8bit$ $2’s$ complement numbers. Their product in $2’s$ complement is $1100 0100$ $1001 1100$ $1010 0101$ $1101 0101$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2004
digitallogic
numberrepresentation
easy
videosolution
0
votes
0
answers
GATE20012.10 Video Solution
The $2's$ complement representation of (539)10 in hexadecimal is $ABE$ $DBC$ $DE5$ $9E7$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2001
digitallogic
numberrepresentation
easy
videosolution
0
votes
0
answers
GATE20002.14 Video Solution
Consider the values of $A$ = 2.0 x 10$^{30}$, $B$ = 2.0 x 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 $X = 1.0, Y = 1.0$ $X = 1.0, Y = 0.0$ $X = 0.0, Y = 1.0$ $X = 0.0, Y = 0.0$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2000
digitallogic
numberrepresentation
normal
videosolution
0
votes
0
answers
GATE2016209 Video Solution
Let $X$ be the number of distinct $16$bit integers in $2's$ complement representation. Let $Y$ be the number of distinct $16$bit integers in sign magnitude representation Then $X  Y$ is______.
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

3
views
gate20162
digitallogic
numberrepresentation
normal
numericalanswers
videosolution
0
votes
0
answers
GATE20127 Video Solution
The decimal value $0.5$ in IEEE single precision floating point representation has fraction bits of $000\dots 000$ and exponent value of $0$ fraction bits of $000\dots 000$ and exponent value of $−1$ fraction bits of $100\dots 000$ and exponent value of $0$ no exact representation
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2012
digitallogic
normal
numberrepresentation
ieeerepresentation
videosolution
0
votes
0
answers
GATE20029 Video Solution
Consider the following $32bit$ floatingpoint representation scheme as shown in the format below. A value is specified by $3$ fields, a one bit sign field (with $0$ for positive and $1$ for negative values), a $24 bit$ fraction field ( ... hexadecimal. What is the largest value that can be represented using this format? Express your answer as the nearest power of $10$.
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2002
digitallogic
numberrepresentation
normal
descriptive
videosolution
0
votes
0
answers
GATE20001.6 Video Solution
The number $43$ in $2's$ complement representation is $01010101$ $11010101$ $00101011$ $10101011$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2000
digitallogic
numberrepresentation
easy
videosolution
0
votes
0
answers
GATE20198 Video Solution
Consider $Z=XY$ where $X, Y$ and Z are all in signmagnitude form. X and Y are each represented in $n$ bits. To avoid overflow, the representation of $Z$ would require a minimum of: $n$ bits $n1$ bits $n+1$ bits $n+2$ bits
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2019
digitallogic
numberrepresentation
videosolution
0
votes
0
answers
GATE2015335 Video Solution
Consider the equation $(43)_x = (y3)_8$ where $x$ and $y$ are unknown. The number of possible solutions is _____
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate20153
digitallogic
numberrepresentation
normal
numericalanswers
videosolution
0
votes
0
answers
GATE201833 Video Solution
Consider the unsigned 8bit fixed point binary number representation, below, $b_7 \: \: b_6 \: \: b_5 \: \: b_4 \: \: b_3 \: \: \cdot b_2 \: \: b_1 \: \: b_0$ where the position of the primary point is between $b_3$ and ... represented Only $ii$ cannot be exactly represented Only $iii$ and $iv$ cannot be exactly represented Only $i$ and $ii$ cannot be exactly represented
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2018
digitallogic
numberrepresentation
fixedpointrepresentation
normal
videosolution
0
votes
0
answers
GATE2014245 Video Solution
The value of a $\text{float}$ type variable is represented using the singleprecision $\text{32bit}$ floating point format of $IEEE754$ standard that uses $1$ $\text{bit}$ for sign, $\text{8 bits}$ ... assigned the decimal value of $−14.25$. The representation of $X$ in hexadecimal notation is $C1640000H$ $416C0000H$ $41640000H$ $C16C0000H$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate20142
digitallogic
numberrepresentation
normal
ieeerepresentation
videosolution
0
votes
0
answers
GATE19992.17 Video Solution
Zero has two representations in Signmagnitude $2's$ complement $1's$ complement None of the above
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate1999
digitallogic
numberrepresentation
easy
videosolution
0
votes
0
answers
GATE20134 Video Solution
The smallest integer that can be represented by an $8bit$ number in $2's$ complement form is $256$ $128$ $127$ $0$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2013
digitallogic
numberrepresentation
easy
videosolution
0
votes
0
answers
GATE20086 Video Solution
Let $r$ denote number system radix. The only value(s) of $r$ that satisfy the equation $\sqrt{121_r}={11}_r$, is/are decimal $10$ decimal $11$ decimal $10$ and $11$ any value > $2$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2008
digitallogic
numberrepresentation
normal
videosolution
0
votes
0
answers
GATE20194 Video Solution
In $16$bit $2$’s complement representation, the decimal number $28$ is: $1111 \: 1111 \: 0001 \: 1100$ $0000 \: 0000 \: 1110 \: 0100$ $1111 \: 1111 \: 1110 \: 0100$ $1000 \: 0000 \: 1110 \: 0100$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2019
digitallogic
numberrepresentation
videosolution
0
votes
0
answers
GATE201428 Video Solution
Consider the equation $(123)_5=(x8)_y$ with $x$ and $y$ as unknown. The number of possible solutions is _____ .
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate20142
digitallogic
numberrepresentation
numericalanswers
normal
videosolution
0
votes
0
answers
GATE19975.4 Video Solution
Given $\sqrt{(224)_r} =(13)_r$. The value of the radix $r$ is: $10$ $8$ $5$ $6$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate1997
digitallogic
numberrepresentation
normal
videosolution
0
votes
0
answers
GATE201418 Video Solution
The base (or radix) of the number system such that the following equation holds is____________. $\frac{312}{20} = 13.1$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate20141
digitallogic
numberrepresentation
numericalanswers
normal
videosolution
0
votes
0
answers
GATE20039 Video Solution
Assuming all numbers are in $2’s$ complement representation, which of the following numbers is divisible by $11111011$? $11100111$ $11100100$ $11010111$ $11011011$
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

2
views
gate2003
digitallogic
numberrepresentation
normal
videosolution
0
votes
0
answers
GATE19901iva Video Solution
A 32bit floatingpoint number is represented by a 7bit signed exponent, and a 24bit fractional mantissa. The base of the scale factor is 16, The range of the exponent is ___________
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

4
views
gate1990
descriptive
digitallogic
numberrepresentation
floatingpointrepresentation
videosolution
0
votes
0
answers
GATE2008IT7 Video Solution
The following bit pattern represents a floating point number in IEEE $754$ single precision format $1 \ 10000011 \ 101000000000000000000000$ The value of the number in decimal form is $10$ $13$ $26$ None of the above
asked
Apr 19
in
Digital Logic
by
admin
(
3.6k
points)

1
view
gate2008it
digitallogic
numberrepresentation
floatingpointrepresentation
ieeerepresentation
normal
videosolution
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