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Recent questions tagged numberrepresentation
2's complement
2's complement representation
+6
votes
2
answers
1
ISRO200736
Consider a computer system that stores a floatingpoint numbers with $16$bit mantissa and an $8$bit exponent, each in two's complement. The smallest and largest positive values which can be stored are : $1 \times 10^{128} \text{ and } 2^{15} \times 10^{128}$ ... $1 \times 10^{128} \text{ and } 2^{15}1 \times 10^{127}$
asked
Jun 10, 2016
in
Digital Logic
by
jothee

3.5k
views
isro2007
digitallogic
numberrepresentation
floatingpointrepresentation
+5
votes
1
answer
2
ISRO200730
0.75 decimal system is equivalent to ____ in octal system 0.60 0.52 0.54 0.50
asked
Jun 10, 2016
in
Digital Logic
by
jothee

2.2k
views
isro2007
digitallogic
numberrepresentation
+7
votes
3
answers
3
ISRO200718
The number of digit 1 present in the binary representation of $3 \times 512 + 7 \times 64 + 5 \times 8 + 3$ is 8 9 10 12
asked
Jun 10, 2016
in
Digital Logic
by
jothee

5.2k
views
isro2007
digitallogic
numberrepresentation
+7
votes
4
answers
4
ISRO200704
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
asked
Jun 10, 2016
in
Digital Logic
by
jothee

3.9k
views
isro2007
digitallogic
numberrepresentation
excess3
+9
votes
1
answer
5
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

1.8k
views
isro2009
numberrepresentation
digitallogic
+1
vote
0
answers
6
ISI2011PCBCS1a
The function $divby3$ given below is intended to check whether a given number is divisible by 3. It assumes that the argument $(number)$ is a string containing the decimal representation of a positive integer, and returns 1 or 0 depending on whether the ... for all positive integers. note: The smaller the number of ALU operations used by your function, the more marks you will get.
asked
Jun 3, 2016
in
Digital Logic
by
jothee

178
views
descriptive
isi2011pcbcs
numberrepresentation
+2
votes
1
answer
7
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

204
views
descriptive
isi2012pcbcs
digitallogic
numberrepresentation
ieeerepresentation
+2
votes
1
answer
8
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

260
views
descriptive
isi2013pcbcs
digitallogic
numberrepresentation
booleanalgebra
+5
votes
2
answers
9
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

2k
views
isro2013
digitallogic
numberrepresentation
+2
votes
1
answer
10
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_

758
views
numberrepresentation
digitallogic
+7
votes
4
answers
11
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

3.8k
views
isro2008
digitallogic
numberrepresentation
floatingpointrepresentation
+3
votes
1
answer
12
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

2.9k
views
numberrepresentation
+7
votes
5
answers
13
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

3.9k
views
isro2013
digitallogic
numberrepresentation
+4
votes
1
answer
14
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

3.2k
views
isro2013
numberrepresentation
+8
votes
5
answers
15
ISRO201311
When two $\text{BCD}$ numbers $0\times14$ and $0\times08$ are added what is the binary representation of the resultant number ? $0\times22$ $0\times1c$ $0\times16$ results in overflow
asked
Apr 26, 2016
in
Digital Logic
by
makhdoom ghaya

4.1k
views
isro2013
numberrepresentation
bcd
+5
votes
2
answers
16
ISRO20138
Which logic gate is used to detect overflow in 2's compliment arithmetic? OR gate AND gate NAND gate XOR gate
asked
Apr 26, 2016
in
Digital Logic
by
makhdoom ghaya

4.9k
views
isro2013
numberrepresentation
+1
vote
3
answers
17
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

1.4k
views
numberrepresentation
+4
votes
4
answers
18
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

2k
views
numberrepresentation
+26
votes
8
answers
19
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

4.8k
views
gate20161
digitallogic
numberrepresentation
normal
numericalanswers
+21
votes
4
answers
20
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

4.4k
views
gate20162
digitallogic
numberrepresentation
normal
numericalanswers
0
votes
1
answer
21
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

1.8k
views
madeeasytestseries
digitallogic
numberrepresentation
+1
vote
1
answer
22
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

200
views
madeeasytestseries
digitallogic
numberrepresentation
+3
votes
3
answers
23
Is 2's complement of 57 110001110 ?
Please answer silly but needful question
asked
Jan 13, 2016
in
Digital Logic
by
nitish

980
views
numberrepresentation
+2
votes
1
answer
24
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

556
views
numberrepresentation
+3
votes
3
answers
25
number conversions
represent number 6248 in BCD excess three code 2421 code 6311 code
asked
Dec 21, 2015
in
Digital Logic
by
Pooja Palod

2.5k
views
numbersystem
numberrepresentation
+9
votes
1
answer
26
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

769
views
numberrepresentation
+2
votes
1
answer
27
excess 3 codes
Convert $1101_2$ to corresponding $excess3$ binary number. (A) $10000$ (B) $01000110$ (C) $100110$ (D) $10110$
asked
Nov 30, 2015
in
Digital Logic
by
shreshtha5

1.1k
views
numberrepresentation
binarycodes
+5
votes
1
answer
28
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

354
views
numberrepresentation
number
0
votes
1
answer
29
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

138
views
numberrepresentation
+7
votes
1
answer
30
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

458
views
tifr2012
numericalability
numberrepresentation
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