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2's complement
2's complement representation
Recent questions tagged number-representation
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151
Morris Mano Edition 3 Exercise 1 Question 12 (Page No. 33)
Noting that $3 ^2 = 9$, Formulate a simple procedure for converting base-3 numbers to base-9 directly.use the procedure to convert the $(2110201102220) _3$ to base-9.
ajaysoni1924
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Digital Logic
Mar 31, 2019
by
ajaysoni1924
3.7k
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number-representation
digital-logic
morris-mano
0
votes
1
answer
152
Morris Mano Edition 3 Exercise 1 Question 11 (Page No. 33)
Determine the value of the base x if $(211) _x = (152) _8$
ajaysoni1924
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Digital Logic
Mar 31, 2019
by
ajaysoni1924
511
views
digital-logic
morris-mano
number-representation
0
votes
0
answers
153
Morris Mano Edition 3 Exercise 1 Question 10 (Page No. 33)
Perform the following Division in binary 11111111/101
ajaysoni1924
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in
Digital Logic
Mar 31, 2019
by
ajaysoni1924
369
views
digital-logic
morris-mano
number-representation
1
vote
1
answer
154
Morris Mano Edition 3 Exercise 1 Question 9 (Page No. 33)
Add and Multiply the following number without converting them into decimal $(367) _8$ and $(715) _8$ $(15F) _{16}$ and $(A7) _{16}$ ($110110) _2$ and $(110101) _2$
ajaysoni1924
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Digital Logic
Mar 31, 2019
by
ajaysoni1924
1.7k
views
digital-logic
morris-mano
number-representation
1
vote
0
answers
155
Morris Mano Edition 3 Exercise 1 Question 8 (Page No. 33)
Convert the following numbers from the given base to the other three bases indicated. (a) decimal 225 to binary, octal and the hexadecimal. (b) Binary 11010111 to decimal, octal, and hexadecimal. (c ) Octal 623 to decimal, binary and hexadecimal. (d) hexadecimal 2AC5 to binary, octal and Decimal
ajaysoni1924
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in
Digital Logic
Mar 31, 2019
by
ajaysoni1924
881
views
digital-logic
morris-mano
number-representation
0
votes
2
answers
156
Morris Mano Edition 3 Exercise 1 Question 7 (Page No. 33)
Convert the hexadecimal number F3A7C2 to the binary
ajaysoni1924
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in
Digital Logic
Mar 30, 2019
by
ajaysoni1924
1.4k
views
digital-logic
morris-mano
number-representation
0
votes
1
answer
157
Morris Mano Edition 3 Exercise 1 Question 6 (Page No. 33)
Convert the following Decimal Numbers to the indicated bases. (a) 7562.45 to octal (b) 1938.257 to hexadecimal (c)175.175 to binary
ajaysoni1924
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in
Digital Logic
Mar 30, 2019
by
ajaysoni1924
3.1k
views
digital-logic
morris-mano
number-representation
0
votes
1
answer
158
Morris Mano Edition 3 Exercise 1 Question 5 (Page No. 33)
Convert the following decimal numbers to the binary representation. 1231, 673.23, $10 ^4$, 1998.
ajaysoni1924
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Digital Logic
Mar 30, 2019
by
ajaysoni1924
2.1k
views
digital-logic
morris-mano
number-representation
0
votes
1
answer
159
Morris Mano Edition 3 Exercise 1 Question 4 (Page No. 33)
Convert the following numbers with the indicated bases to decimal: $(12121) _3 , (4310) _5 , (50) _7 , (198) _{12}$
ajaysoni1924
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in
Digital Logic
Mar 30, 2019
by
ajaysoni1924
5.8k
views
digital-logic
morris-mano
number-representation
1
vote
1
answer
160
Morris Mano Edition 3 Exercise 1 Question 3 (Page No. 33)
Convert the Following Binary numbers to decimal: a)101110 b)1110101.11 c)110110100
ajaysoni1924
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Digital Logic
Mar 30, 2019
by
ajaysoni1924
1.7k
views
digital-logic
morris-mano
number-representation
0
votes
1
answer
161
Morris Mano Edition 3 Exercise 1 Question 2 (Page No. 33)
What is the Largest Binary Number that Can be Obtained with 16 bits? What is Its Decimal Equivalent?
ajaysoni1924
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Digital Logic
Mar 30, 2019
by
ajaysoni1924
2.9k
views
digital-logic
morris-mano
number-representation
0
votes
1
answer
162
Morris Mano Edition 3 Exercise 1 Question 1 (Page No. 33)
List the first 16 numbers in base 12. use the letters A and B to represent the last two digits
ajaysoni1924
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in
Digital Logic
Mar 30, 2019
by
ajaysoni1924
3.2k
views
digital-logic
morris-mano
number-representation
0
votes
1
answer
163
SELF DOUBT
In Single Precision floating point number when E=0 and M not equals to 0 it represents a fractional form..(BiAS=+127) when writing the decimal form why do we right (-1)^S * (1.M) * 2^(-126) instead of (-1)^S * (1.M) * 2^(-127)??
DIYA BASU
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in
Digital Logic
Feb 10, 2019
by
DIYA BASU
482
views
digital-logic
number-representation
ieee-representation
floating-point-representation
self-doubt
19
votes
4
answers
164
GATE CSE 2019 | Question: 4
In $16$-bit $2$’s complement representation, the decimal number $-28$ is: $1111 \: 1111 \: 0001 \: 1100$ $0000 \: 0000 \: 1110 \: 0100$ $1111 \: 1111 \: 1110 \: 0100$ $1000 \: 0000 \: 1110 \: 0100$
Arjun
asked
in
Digital Logic
Feb 7, 2019
by
Arjun
11.0k
views
gatecse-2019
digital-logic
number-representation
1-mark
19
votes
5
answers
165
GATE CSE 2019 | Question: 8
Consider $Z=X-Y$ where $X, Y$ and Z are all in sign-magnitude form. X and Y are each represented in $n$ bits. To avoid overflow, the representation of $Z$ would require a minimum of: $n$ bits $n-1$ bits $n+1$ bits $n+2$ bits
Arjun
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in
Digital Logic
Feb 7, 2019
by
Arjun
13.5k
views
gatecse-2019
digital-logic
number-representation
1-mark
35
votes
9
answers
166
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 ___________.
Arjun
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in
Digital Logic
Feb 7, 2019
by
Arjun
19.9k
views
gatecse-2019
numerical-answers
digital-logic
number-representation
probability
1-mark
0
votes
3
answers
167
self doubt
How to do:(1000)base3 – (121)base3 without converting them to base 10 the final answer should be in base3
DIYA BASU
asked
in
Digital Logic
Feb 4, 2019
by
DIYA BASU
448
views
digital-logic
number-system
number-representation
0
votes
1
answer
168
Gate 2019: Bits to avoid Overflow.
Let Z = X – Y, X, Y, Z are signed magnitude numbers and X, Y are represented in n-bit numbers. To avoid overflow minimum number of bits would require for Z is _________ (a) n-bit (b) n + 2 bits (c) n + 1 bits (d) (n – 1) bits
HeartBleed
asked
in
Digital Logic
Feb 4, 2019
by
HeartBleed
1.3k
views
number-representation
digital-logic
0
votes
0
answers
169
SELF DOUBT
what is (120)base 10=( ? )base 64 ??
DIYA BASU
asked
in
Digital Logic
Feb 4, 2019
by
DIYA BASU
342
views
digital-logic
number-system
number-representation
0
votes
1
answer
170
MadeEasy Full Length Test 2019: Digital Logic - Number Representation
The $(r-1)$'s complement of a number can be found using formula $(r^{n}-r^{-m}-N)$ where $r$ is base of the number $N$ having $n$ digits and $m$ digits in integral an fraction part respectively. We have been ... $(iv) -517.67$ How many $(r - 1)'s$ complement of above decimal numbers can be calculated using mentioned formula?
Shankar Kakde
asked
in
Digital Logic
Jan 23, 2019
by
Shankar Kakde
583
views
digital-logic
number-representation
made-easy-test-series
1
vote
1
answer
171
Applied Course | Mock GATE | Test 1 | Question: 24
How many number bits are required to represent a $32$ digit decimal number in binary? $6$ bits $32$ bits $106$ bits $107$ bits
Applied Course
asked
in
Digital Logic
Jan 16, 2019
by
Applied Course
515
views
applied-course-2019-mock1
digital-logic
number-representation
1
vote
1
answer
172
Applied Course | Mock GATE | Test 1 | Question: 40
$\begin{array}{l} A = 2000 \\ B = A - 999 \\ C = A + B - 998 \\ D = A + B + C - 997 \\ \vdots \\ \vdots \\ Z = A + B + C + \dots + Y - 975 \end{array}$ How much $\frac{Z+1}{2^{25}}$? ____
Applied Course
asked
in
Digital Logic
Jan 16, 2019
by
Applied Course
705
views
applied-course-2019-mock1
numerical-answers
digital-logic
number-representation
0
votes
0
answers
173
MadeEasy Full Length Test 2018: Digital Logic - Number Representations
2’s complement representation of the number $(-89)_{10}$ is 7 5 4 3 I don’t understand their solution. Please help.
MiNiPanda
asked
in
Digital Logic
Jan 15, 2019
by
MiNiPanda
572
views
digital-logic
number-representation
made-easy-test-series
0
votes
0
answers
174
© 2016 Pearson Education, Inc., Hoboken
What will be the bias used in a word addressing computer if the number of bits for exponent are 9? If 9 bits are used for the representation of a number, then what will be the maximum number in signed number range if the numbers are represented in 2’s complement?
Mohamad Al Rebdawi
asked
in
CO and Architecture
Jan 8, 2019
by
Mohamad Al Rebdawi
356
views
co-and-architecture
number-representation
usermod
0
votes
1
answer
175
Self-doubt
In floating point representations , how to determine what is to be subtracted from the exponent ? In 32 bit representation, somewhere it is said to subtract 128 from the exponent, somewhere it is written 127 to be subtracted ? How to check this ?
kman30
asked
in
Digital Logic
Jan 6, 2019
by
kman30
537
views
digital-logic
number-representation
floating-point-representation
general-topic-doubt
0
votes
1
answer
176
UPPCL AE 2018:82
If $703_{x}$ (in base-$x$ number system) equals $504_{y}$ (in base-$y$ number system), then possible values of $x, y$ are: $17, 18$ None of these $8, 11$ $12, 13$
admin
asked
in
Digital Logic
Jan 5, 2019
by
admin
354
views
uppcl2018
digital-logic
number-representation
0
votes
1
answer
177
UPPCL AE 2018:79
The decimal value $0.625$ equals the binary $0.111$ equals no finite binary string equals the binary $0.101$ equals the binary $0.10011$
admin
asked
in
Digital Logic
Jan 5, 2019
by
admin
293
views
uppcl2018
digital-logic
number-representation
0
votes
2
answers
178
UPPCL AE 2018:22
If we decide to stay away from $\text{IEEE 754}$ format by making our Exponent field $10$ bits wide and our Mantissa field $21$ bits wide, then which of the following statement is $\text{TRUE}$? It will provide less precision as there will be fewer Mantissa bits It will provide more precision as there will be fewer Mantissa bits None of the above It will not change the precision
admin
asked
in
Digital Logic
Jan 5, 2019
by
admin
410
views
uppcl2018
digital-logic
number-representation
ieee-representation
2
votes
4
answers
179
UGC NET CSE | December 2018 | Part 2 | Question: 16
The decimal floating point number $-40.1$ represented using $\textsf{IEEE-754} \: 32$-bit representation and written in hexadecimal form is $\textsf{0x}C2206666$ $\textsf{0x}C2206000$ $\textsf{0x}C2006666$ $\textsf{0x}C2006000$
Arjun
asked
in
Digital Logic
Jan 2, 2019
by
Arjun
3.5k
views
ugcnetcse-dec2018-paper2
digital-logic
number-representation
floating-point-representation
0
votes
0
answers
180
Range in 2's complement
Consider given below $n$ bit integer data which is expressed in sign $2's$ complement notation $K=\left ( a_{n-1} a_{n-2}....a_{1} a_{0} \right )$ The value expression of the $K$ in decimal is $\left ( A \right )\sum_{i=0}^{n-2}a_{i}\times 2^{i}$ ... $2's$ complement is $-2^{n-1}$ to $+2^{n-1}-1$ but no option getting match with it right?
srestha
asked
in
CO and Architecture
Dec 27, 2018
by
srestha
437
views
co-and-architecture
number-representation
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