Recent questions tagged number-representation / GATE Overflow for GATE CSE

9 votes

1 answer

91

GO Classes Test Series 2024 | Programming | Test 1 | Question: 6
Consider the $k$ bit binary pattern on 2's complement system. $\text{T}_{\max}$ and $\text{T}_{\min}$ are maximum and minimum signed numbers we can represent using $k$ bits. $\text{U}_{\max}$ and $\text{U}_{\min}$ are maximum and minimum ... $\text{U}_{\min} = !(1>>31)$ $\text{U}_{\max} = \;\sim(1>>31)$

Consider the $k$ bit binary pattern on 2’s complement system.$\text{T}_{\max}$ and $\text{T}_{\min}$ are maximum and minimum signed numbers we can represent using $k$ b...

GO Classes

618 views

GO Classes asked Apr 18, 2022

5 votes

1 answer

92

GO Classes 2023 | Weekly Quiz 4 | Question: 2
Which of the following expressions will evaluate to true? INT_MIN is the minimum signed integer in the system which is using 2's complement representation for signed integers and variables are defined as follows: int x = 5, i = -7; ((x >> 2) << 2) <= x ~ 1&& 1 INT_MIN == -INT_MIN -10 < i <-1

Which of the following expressions will evaluate to true?INT_MIN is the minimum signed integer in the system which is using 2's complement representation for signed integ...

GO Classes

808 views

GO Classes asked Mar 26, 2022

10 votes

2 answers

93

GATE CSE 2022 | Question: 8
Let $\text{R1}$ and $\text{R2}$ be two $4 - \text{bit}$ registers that store numbers in $2\text{'s}$ complement form. For the operation $\text{R1 + R2},$ which one of the following values of $\text{R1}$ and $\text{R2}$ ... and $\text{R2 = 1010}$ $\text{R1 = 0011}$ and $\text{R2 = 0100}$ $\text{R1 = 1001}$ and $\text{R2 = 1111}$

Let $\text{R1}$ and $\text{R2}$ be two $4 – \text{bit}$ registers that store numbers in $2\text{’s}$ complement form. For the operation $\text{R1 + R2},$ which one of...

Arjun

8.9k views

Arjun asked Feb 15, 2022

7 votes

3 answers

94

GATE CSE 2022 | Question: 31
Consider three floating point numbers $\textit{A, B}$ and $\textit{C}$ stored in registers $\text{R}_{\text{A}}, \text{R}_{\text{B}}$ and $\text{R}_{\text{C}},$ respectively as per $\textsf{IEEE-754}$ single precision floating point format. The $\text{32-bit}$ content stored in ... $\textit{A + C} = 0$ $\textit{C = A + B}$ $\textit{B =3C}$ $\textit{(B - C)} > 0$

Consider three floating point numbers $\textit{A, B}$ and $\textit{C}$ stored in registers $\text{R}_{\text{A}}, \text{R}_{\text{B}}$ and $\text{R}_{\text{C}},$ respectiv...

Arjun

8.7k views

Arjun asked Feb 15, 2022

0 votes

1 answer

95

Topic - Number Systems (Digital Logic)
What is the difference between 2’s complement and 2’s complement representation of a number? Please can you do 2’s complement of (43) and (-43) and also represent 43 and (-43) in two’s complement form. Also, write binary of 43 and (-43).

What is the difference between 2’s complement and 2’s complement representation of a number? Please can you do 2’s complement of (43) and (-43) and also represent 4...

99Monish

4.1k views

99Monish asked Dec 18, 2021

1 votes

1 answer

96

TIFR CSE 2021 | Part A | Question: 12
How many numbers in the range ${0, 1, \dots , 1365}$ have exactly four $1$'s in their binary representation? (Hint: $1365_{10}$ is $10101010101_{2}$, that is, $1365=2^{10} + 2^{8}+2^{6}+2^{4}+2^{2}+2^{0}.)$ ... $\binom{11}{4}+\binom{9}{3}+\binom{7}{2}+\binom{5}{1}$ $1024$

How many numbers in the range ${0, 1, \dots , 1365}$ have exactly four $1$’s in their binary representation? (Hint: $1365_{10}$ is $10101010101_{2}$, that is, $$1365=2^...

soujanyareddy13

575 views

soujanyareddy13 asked Mar 25, 2021

21 votes

3 answers

97

GATE CSE 2021 Set 2 | Question: 4
The format of the single-precision floating point representation of a real number as per the $\text{IEEE 754}$ ... and mantissa $=0000000000000000000000001$ exponent $=00000001$ and mantissa $=0000000000000000000000000$ exponent $=00000001$ and mantissa $=0000000000000000000000001$

The format of the single-precision floating point representation of a real number as per the $\text{IEEE 754}$ standard is as follows:$$\begin{array}{|c|c|c|} \hline \tex...

Arjun

10.2k views

Arjun asked Feb 18, 2021

13 votes

3 answers

98

GATE CSE 2021 Set 2 | Question: 18
If $x$ and $y$ are two decimal digits and $(0.1101)_2 = (0.8xy5)_{10}$, the decimal value of $x+y$ is ___________

If $x$ and $y$ are two decimal digits and $(0.1101)_2 = (0.8xy5)_{10}$, the decimal value of $x+y$ is ___________

Arjun

4.9k views

Arjun asked Feb 18, 2021

29 votes

6 answers

99

GATE CSE 2021 Set 2 | Question: 44
If the numerical value of a $2$-byte unsigned integer on a little endian computer is $255$ more than that on a big endian computer, which of the following choices represent(s) the unsigned integer on a little endian computer? $0\text{x}6665$ $0\text{x} 0001$ $0\text{x} 4243$ $0\text{x} 0100$

If the numerical value of a $2$-byte unsigned integer on a little endian computer is $255$ more than that on a big endian computer, which of the following choices represe...

Arjun

14.5k views

Arjun asked Feb 18, 2021

8 votes

4 answers

100

GATE CSE 2021 Set 1 | Question: 6
Let the representation of a number in base $3$ be $210$. What is the hexadecimal representation of the number? $15$ $21$ $\text{D}2$ $528$

Let the representation of a number in base $3$ be $210$. What is the hexadecimal representation of the number?$15$$21$$\text{D}2$$528$

Arjun

9.0k views

Arjun asked Feb 18, 2021

9 votes

5 answers

101

GATE CSE 2021 Set 1 | Question: 24
Consider the following representation of a number in $\text{IEEE 754}$ single-precision floating point format with a bias of $127$.$S: 1\quad\quad E:\; 10000001\quad\quad F:\;11110000000000000000000$ Here $S, \;E$ and ... the floating point representation. The decimal value corresponding to the above representation (rounded to $2$ decimal places) is ____________.

Consider the following representation of a number in $\text{IEEE 754}$ single-precision floating point format with a bias of $127$.$$S: 1\quad\quad E:\; 10000001\quad\qu...

Arjun

8.1k views

Arjun asked Feb 18, 2021

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