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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.
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
3.7k
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ajaysoni1924
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Mar 31, 2019
Digital Logic
number-representation
digital-logic
morris-mano
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0
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1
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152
Morris Mano Edition 3 Exercise 1 Question 11 (Page No. 33)
Determine the value of the base x if $(211) _x = (152) _8$
Determine the value of the base x if $(211) _x = (152) _8$
ajaysoni1924
510
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ajaysoni1924
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Mar 31, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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0
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0
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153
Morris Mano Edition 3 Exercise 1 Question 10 (Page No. 33)
Perform the following Division in binary 11111111/101
Perform the following Division in binary 11111111/101
ajaysoni1924
368
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ajaysoni1924
asked
Mar 31, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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1
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1
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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 $(110101) _2$
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
1.7k
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ajaysoni1924
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Mar 31, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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1
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0
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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
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, ...
ajaysoni1924
881
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ajaysoni1924
asked
Mar 31, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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0
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2
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156
Morris Mano Edition 3 Exercise 1 Question 7 (Page No. 33)
Convert the hexadecimal number F3A7C2 to the binary
Convert the hexadecimal number F3A7C2 to the binary
ajaysoni1924
1.4k
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ajaysoni1924
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Mar 30, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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0
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1
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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
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
3.1k
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ajaysoni1924
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Mar 30, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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0
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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.
Convert the following decimal numbers to the binary representation.1231,673.23,$10 ^4$,1998.
ajaysoni1924
2.1k
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ajaysoni1924
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Mar 30, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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0
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1
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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}$
Convert the following numbers with the indicated bases to decimal:$(12121) _3 , (4310) _5 , (50) _7 , (198) _{12}$
ajaysoni1924
5.8k
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ajaysoni1924
asked
Mar 30, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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1
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1
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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
Convert the Following Binary numbers to decimal:a)101110b)1110101.11c)110110100
ajaysoni1924
1.7k
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ajaysoni1924
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Mar 30, 2019
Digital Logic
digital-logic
morris-mano
number-representation
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0
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1
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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?
What is the Largest Binary Number that Can be Obtained with 16 bits? What is Its Decimal Equivalent?
ajaysoni1924
2.9k
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ajaysoni1924
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Mar 30, 2019
Digital Logic
digital-logic
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number-representation
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0
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1
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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
List the first 16 numbers in base 12. use the letters A and B to represent the last two digits
ajaysoni1924
3.2k
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ajaysoni1924
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Mar 30, 2019
Digital Logic
digital-logic
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0
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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)??
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...
DIYA BASU
474
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DIYA BASU
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Feb 10, 2019
Digital Logic
digital-logic
number-representation
ieee-representation
floating-point-representation
self-doubt
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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$
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...
Arjun
11.0k
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Arjun
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Feb 7, 2019
Digital Logic
gatecse-2019
digital-logic
number-representation
1-mark
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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
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...
Arjun
13.4k
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Arjun
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Feb 7, 2019
Digital Logic
gatecse-2019
digital-logic
number-representation
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35
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9
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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 ___________.
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
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Arjun
asked
Feb 7, 2019
Digital Logic
gatecse-2019
numerical-answers
digital-logic
number-representation
probability
1-mark
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0
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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
How to do:(1000)base3 – (121)base3 without converting them to base 10 the final answer should be in base3
DIYA BASU
435
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DIYA BASU
asked
Feb 4, 2019
Digital Logic
digital-logic
number-system
number-representation
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0
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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
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 _________...
HeartBleed
1.3k
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HeartBleed
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Feb 4, 2019
Digital Logic
number-representation
digital-logic
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0
votes
0
answers
169
SELF DOUBT
what is (120)base 10=( ? )base 64 ??
what is (120)base 10=( ? )base 64 ??
DIYA BASU
333
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DIYA BASU
asked
Feb 4, 2019
Digital Logic
digital-logic
number-system
number-representation
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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?
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 f...
Shankar Kakde
564
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Shankar Kakde
asked
Jan 23, 2019
Digital Logic
digital-logic
number-representation
made-easy-test-series
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1
votes
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
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
506
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Applied Course
asked
Jan 16, 2019
Digital Logic
applied-course-2019-mock1
digital-logic
number-representation
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1
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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 $\frac{Z+1}{2^{25}}$? ____
$\begin{array}{l} A = 2000 \\ B = A - 999 \\ C = A + B - 998 \\ D = A + B + C - 997 \\ \vdots \\ \vdots \\ Z = A + B + C + \dots + Y - 975 \end{array}$How much $\frac{Z+1...
Applied Course
702
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Applied Course
asked
Jan 16, 2019
Digital Logic
applied-course-2019-mock1
numerical-answers
digital-logic
number-representation
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0
votes
0
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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.
2’s complement representation of the number $(-89)_{10}$ is7543I don’t understand their solution. Please help.
MiNiPanda
555
views
MiNiPanda
asked
Jan 15, 2019
Digital Logic
digital-logic
number-representation
made-easy-test-series
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0
votes
0
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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?
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...
Mohamad Al Rebdawi
354
views
Mohamad Al Rebdawi
asked
Jan 8, 2019
CO and Architecture
co-and-architecture
number-representation
usermod
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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 ?
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 e...
kman30
522
views
kman30
asked
Jan 6, 2019
Digital Logic
digital-logic
number-representation
floating-point-representation
general-topic-doubt
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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 $8, 11$ $12, 13$
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$$12, 13$
admin
341
views
admin
asked
Jan 5, 2019
Digital Logic
uppcl2018
digital-logic
number-representation
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0
votes
1
answer
177
UPPCL AE 2018:79
The decimal value $0.625$ equals the binary $0.111$ equals no finite binary string equals the binary $0.101$ equals the binary $0.10011$
The decimal value $0.625$equals the binary $0.111$ equals no finite binary string equals the binary $0.101$ equals the binary $0.10011$
admin
291
views
admin
asked
Jan 5, 2019
Digital Logic
uppcl2018
digital-logic
number-representation
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0
votes
2
answers
178
UPPCL AE 2018:22
If we decide to stay away from $\text{IEEE 754}$ format by making our Exponent field $10$ bits wide and our Mantissa field $21$ bits wide, then which of the following statement is $\text{TRUE}$? It will provide less precision as there will be fewer Mantissa bits It will provide more precision as there will be fewer Mantissa bits None of the above It will not change the precision
If we decide to stay away from $\text{IEEE 754}$ format by making our Exponent field $10$ bits wide and our Mantissa field $21$ bits wide, then which of the following sta...
admin
402
views
admin
asked
Jan 5, 2019
Digital Logic
uppcl2018
digital-logic
number-representation
ieee-representation
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2
votes
4
answers
179
UGC NET CSE | December 2018 | Part 2 | Question: 16
The decimal floating point number $-40.1$ represented using $\textsf{IEEE-754} \: 32$-bit representation and written in hexadecimal form is $\textsf{0x}C2206666$ $\textsf{0x}C2206000$ $\textsf{0x}C2006666$ $\textsf{0x}C2006000$
The decimal floating point number $-40.1$ represented using $\textsf{IEEE-754} \: 32$-bit representation and written in hexadecimal form is$\textsf{0x}C2206666$$\textsf{0...
Arjun
3.5k
views
Arjun
asked
Jan 2, 2019
Digital Logic
ugcnetcse-dec2018-paper2
digital-logic
number-representation
floating-point-representation
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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?
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...
srestha
423
views
srestha
asked
Dec 27, 2018
CO and Architecture
co-and-architecture
number-representation
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