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Recent questions tagged numberrepresentation
2's complement
2's complement representation
+8
votes
1
answer
1
ISRO200939 , GATE2008IT_15
A processor that has 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
Jun 3, 2016
in
Digital Logic
by
Desert_Warrior
Loyal
(
7.9k
points)

1.7k
views
isro2009
numberrepresentation
digitallogic
+2
votes
1
answer
2
ISI2012PCBCS2c
Add the following two floating point numbers $A$ and $B$ given in IEEE $754$ single precision format and show the sum $S$ in the same format. $A: 0000011000100 \: 0000 \: 000000000000001$ $B: 1000011000100 \: 0000 \: 000000000000001$
asked
Jun 2, 2016
in
Digital Logic
by
jothee
Veteran
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105k
points)

166
views
descriptive
isi2012pcbcs
digitallogic
numberrepresentation
ieeerepresentation
+1
vote
1
answer
3
ISI2013PCBCS2b
Let $C$ denote a logic block that is capable of comparing two $4$  bit $2$'s complement numbers $A\:(a_3, a_2, a_1, a_0)$ and $B\: (b_3, b_2, b_1, b_0)$, where $a_i, b_i \in \{0, 1\}$ for $i = 0, 1, 2, 3$. The circuit $C$ ... then the outputs should be $E = 0,\: L = 0$, and $G = 1$. Write the Boolean equations for the three outputs $E, \: L$, and $G$.
asked
Jun 1, 2016
in
Digital Logic
by
jothee
Veteran
(
105k
points)

217
views
descriptive
isi2013pcbcs
digitallogic
numberrepresentation
booleanalgebra
+5
votes
2
answers
4
ISRO201377
The binary equivalent of the decimal number $42.75$ is $101010 . 110$ $100110 . 101$ $101010 . 101$ $100110 . 110$
asked
May 13, 2016
in
Digital Logic
by
makhdoom ghaya
Boss
(
30.2k
points)

1.9k
views
isro2013
digitallogic
numberrepresentation
+2
votes
1
answer
5
The binary number 10011101 is equal to the hexadecimal number
The binary number 10011101 is equal to the hexadecimal number (a) 103 (b) 76 (c) 67 (d)  67
asked
May 13, 2016
in
Digital Logic
by
DIEGO_
(
47
points)

597
views
numberrepresentation
digitallogic
+7
votes
4
answers
6
ISRO200823
A computer uses 8 digit mantissa and 2 digit exponent. If a=0.052 and b=28E+11 then b+ab will result in an overflow error result in an underflow error be 0 be 5.28E+11
asked
May 12, 2016
in
Digital Logic
by
cse23
Loyal
(
8.5k
points)

3.2k
views
isro2008
digitallogic
numberrepresentation
floatingpointrepresentation
+3
votes
1
answer
7
number syatem
A decimal number has 25 digits. The number of bits needed for its equivalent binary representation is, approximately, a) 50 b) 55 c) 80 d) 75 Explain??
asked
Apr 30, 2016
in
Digital Logic
by
Sanjay Sharma
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(
48.8k
points)

2.7k
views
numberrepresentation
+6
votes
5
answers
8
ISRO201317
Two eight bit bytes $1100 0011$ and $0100 1100$ are added. What are the values of the overflow, carry and zero flags respectively, if the arithmetic unit of the CPU uses $2$'s complement form? $0, 1, 1'$ $1, 1, 0$ $1, 0, 1$ $0, 1, 0$
asked
Apr 26, 2016
in
Digital Logic
by
makhdoom ghaya
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(
30.2k
points)

3.6k
views
isro2013
digitallogic
numberrepresentation
+5
votes
1
answer
9
ISRO201313
The number $1102$ in base $3$ is equivalent to $123$ in which base system? $4$ $5$ $6$ $8$
asked
Apr 26, 2016
in
Digital Logic
by
makhdoom ghaya
Boss
(
30.2k
points)

2.9k
views
isro2013
numberrepresentation
+8
votes
5
answers
10
ISRO201311
When two BCD numbers $0x 14$ and $0x 08$ are added what is the binary representation of the resultant number? $0x 22$ $0x 1c$ $0x 16$ Results in overflow.
asked
Apr 26, 2016
in
Digital Logic
by
makhdoom ghaya
Boss
(
30.2k
points)

3.7k
views
isro2013
numberrepresentation
bcd
+4
votes
2
answers
11
ISRO20138
Which logic gate is used to detect overflow in 2's compliment arithmetic? OR gate AND gate NAND gate XOR gate
asked
Apr 25, 2016
in
Digital Logic
by
makhdoom ghaya
Boss
(
30.2k
points)

4.6k
views
isro2013
numberrepresentation
+1
vote
3
answers
12
The square of the binary number 1001 in hexadecimal is
The square of the binary number 1001 in hexadecimal is a. 81 b. 51 c. 121 d. A1
asked
Apr 7, 2016
in
CO and Architecture
by
pC
Boss
(
21.3k
points)

1.2k
views
numberrepresentation
+4
votes
3
answers
13
What is the value of base x?
Given $(135)_x+(144)_x=(323)_x$ What is the value of base $x$ ?
asked
Feb 19, 2016
in
Digital Logic
by
ramdas kushwaha
(
31
points)

1.6k
views
numberrepresentation
+24
votes
8
answers
14
GATE2016107
The $16 bit$ $2's$ complement representation of an integer is $1111 \quad 1111 \quad 1111 \quad 0101$; its decimal representation is ______________
asked
Feb 12, 2016
in
Digital Logic
by
Sandeep Singh
Loyal
(
7.2k
points)

4.1k
views
gate20161
digitallogic
numberrepresentation
normal
numericalanswers
+18
votes
4
answers
15
GATE2016209
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
Feb 12, 2016
in
Digital Logic
by
Akash Kanase
Boss
(
41.5k
points)

3.7k
views
gate20162
digitallogic
numberrepresentation
normal
numericalanswers
0
votes
1
answer
16
MadeEasy Test Series: Digital Logic  Number Representation
two 2's complement nos. having sign bits x and y are added and the sign bit of result is z. Then the occurrence of overflow is indicated by the expression??? The answer is given as x'y'z + xyz' . As far as I know, Overflow is indicated by Cn XOR C(n1). So, here Cn is 'z' and C(n1) is x+y . Whose XORing gives me.. x'y'z + xz' + yz'.
asked
Jan 25, 2016
in
Digital Logic
by
Tushar Shinde
Active
(
2.2k
points)

1.7k
views
madeeasytestseries
digitallogic
numberrepresentation
+1
vote
1
answer
17
MadeEasy Test Series: Digital Logic  Number Representation
Consider the addition of the two numbers 10001110 and 10000000 in an 8bit ALU. Which of the following best summarizes the result and the status of the Z(zero), S(sign), C(carry) and O(overflow) flags? Assume that the numbers are represented in 2's Complement format and ... C = 0, O =1, S = 0 d) Sum = 100001110, Z = 0, C = 1, O =1, S = 0
asked
Jan 19, 2016
in
CO and Architecture
by
Sandeep Singh
Loyal
(
7.2k
points)

145
views
madeeasytestseries
digitallogic
numberrepresentation
+3
votes
3
answers
18
Is 2's complement of 57 110001110 ?
Please answer silly but needful question
asked
Jan 13, 2016
in
Digital Logic
by
nitish
Active
(
1.2k
points)

840
views
numberrepresentation
+2
votes
1
answer
19
Verify whether 4311 code is self complementing or nt?
Please provide codes for 09 decimal using 4311 code..i am little bit confused in it..I know the property that addition 9 makes it self complemetory..but how m nt understanding..plz help..
asked
Jan 12, 2016
in
Digital Logic
by
nilamd
Junior
(
593
points)

451
views
numberrepresentation
+3
votes
3
answers
20
number conversions
represent number 6248 in BCD excess three code 2421 code 6311 code
asked
Dec 21, 2015
in
Digital Logic
by
Pooja Palod
Boss
(
31.2k
points)

2.4k
views
numbersystem
numberrepresentation
+9
votes
1
answer
21
hexadecimal subtraction
Given that $(E0B)_{16}(ABF)_{16}=Y$. The radix 8’s compliment of Y is ?
asked
Dec 6, 2015
in
Digital Logic
by
tiger
Active
(
1.6k
points)

628
views
numberrepresentation
+2
votes
1
answer
22
excess 3 codes
Convert $1101_2$ to corresponding $excess3$ binary number. (A) $10000$ (B) $01000110$ (C) $100110$ (D) $10110$
asked
Nov 29, 2015
in
Digital Logic
by
shreshtha5
Active
(
1.6k
points)

887
views
numberrepresentation
binarycodes
+5
votes
1
answer
23
Which of the following result overflow with 2's complement arithmetic ?
1 1 1 1 1 1 1 1 + 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 + 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 + 0 1 1 0 0 0 0 0 Please justify your answer. I'm not getting a clue whether the given number is in 2's complement . Should I have to find 2's complenet of the given number or not
asked
Nov 28, 2015
in
CO and Architecture
by
pC
Boss
(
21.3k
points)

273
views
numberrepresentation
number
0
votes
1
answer
24
why do we have terminology of positive and negative zero ?
If we use diminished radix representation then representation for 0 will be b^n1 where b is the base so this representation is for 0 , how come we are associating +0 and 0 for this ? Normally also we have representation for 0 , so again this b^n1 is a representation for 0 so why to associate sign to it ?
asked
Nov 8, 2015
in
Digital Logic
by
radha gogia
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(
6.3k
points)

125
views
numberrepresentation
+6
votes
1
answer
25
TIFR2012A11
Let $N$ be the sum of all numbers from $1$ to $1023$ except the five primes numbers: $2, 3, 11, 17, 31.$ Suppose all numbers are represented using two bytes (sixteen bits). What is the value of the least significant byte (the least significant eight bits) of $N$? $00000000$ $10101110$ $01000000$ $10000000$ $11000000$
asked
Oct 30, 2015
in
Numerical Ability
by
makhdoom ghaya
Boss
(
30.2k
points)

370
views
tifr2012
numericalability
numberrepresentation
+10
votes
2
answers
26
TIFR2011A16
A variable that takes thirteen possible values can be communicated using? Thirteen bits. Three bits. $\log_{2}13$ bits. Four bits. None of the above.
asked
Oct 19, 2015
in
Digital Logic
by
makhdoom ghaya
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(
30.2k
points)

567
views
tifr2011
numberrepresentation
+5
votes
3
answers
27
ISRO20148
In the standard IEEE 754 single precision floating point representation, there is 1 bit for sign, 23 bits for fraction and 8 bits for exponent. What is the precision in terms of the number of decimal digits? 5 6 7 8
asked
Aug 15, 2015
in
Digital Logic
by
ajit
Active
(
2.4k
points)

4.1k
views
numberrepresentation
ieeerepresentation
isro2014
+22
votes
3
answers
28
GATE2015335
Consider the equation $(43)_x = (y3)_8$ where $x$ and $y$ are unknown. The number of possible solutions is _____
asked
Feb 15, 2015
in
Digital Logic
by
jothee
Veteran
(
105k
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3k
views
gate20153
digitallogic
numberrepresentation
normal
numericalanswers
+19
votes
4
answers
29
GATE2005IT47
$(34.4)$_{8}$ × $\left ( 23.4 \right )_{8}$ evaluates to $(1053.6)$_{8}$ $(1053.2)$_{8}$ $(1024.2)$_{8}$ None of these
asked
Nov 4, 2014
in
Digital Logic
by
Ishrat Jahan
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16.3k
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2.1k
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gate2005it
digitallogic
numberrepresentation
normal
+17
votes
2
answers
30
GATE2004IT43
The number $(123456)_8$ is equivalent to $(A72E)_{16}$ and $(22130232)_4$ $(A72E)_{16}$ and $(22131122)_4$ $(A73E)_{16}$ and $(22130232)_4$ $(A62E)_{16}$ and $(22120232)_4$
asked
Nov 2, 2014
in
Digital Logic
by
Ishrat Jahan
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(
16.3k
points)

860
views
gate2004it
digitallogic
numberrepresentation
normal
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