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Previous year question hub

Number Representation and Arithmetic - Digital Logic - Computer Science & Information Technology Previous Year Questions

Practice Number Representation and Arithmetic - Digital Logic - Computer Science & Information Technology previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

22Papers
15Years
35Questions
1Topics

Number Representation and Arithmetic question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Number Representation and Arithmetic. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 24 68.6%
Medium 11 31.4%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 22 62.9%
Numerical Answer Type (NAT) 8 22.9%
MSQ 5 14.3%

Subject weightage

Top subjects by unique question coverage.

Computer Science & Information Technology
35 Qs

Most asked topics

Top topics across the included previous year papers.

Digital Logic
35 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Number Representation and Arithmetic
35 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Computer Science and Information Technology (CS) 2026
2 Qs
Computer Science and Information Technology (CS) 2026
2 Qs
Computer Science & Information Technology (CS) 2025 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2025 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2024 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2024 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2023 [Session 2]
3 Qs
Computer Science & Information Technology (CS) 2022 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2021 [Session 1]
2 Qs
Computer Science & Information Technology (CS) 2021 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2019 [Session 2]
3 Qs
Computer Science & Information Technology (CS) 2018 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2017 [Session 2]
3 Qs
Computer Science & Information Technology (CS) 2016 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2014 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2014 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2013 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2013 [Session 3]
1 Qs
Computer Science & Information Technology (CS) 2013 [Session 4]
1 Qs
Computer Science & Information Technology (CS) 2010
1 Qs
Computer Science & Information Technology (CS) 2009
1 Qs
Computer Science & Information Technology (CS) 2008
2 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Computer Science and Information Technology (CS) 202620262View paper
Computer Science and Information Technology (CS) 202620262View paper
Computer Science & Information Technology (CS) 2025 [Session 1]20251View paper
Computer Science & Information Technology (CS) 2025 [Session 2]20251View paper
Computer Science & Information Technology (CS) 2024 [Session 1]20241View paper
Computer Science & Information Technology (CS) 2024 [Session 2]20242View paper
Computer Science & Information Technology (CS) 2023 [Session 2]20233View paper
Computer Science & Information Technology (CS) 2022 [Session 2]20222View paper
Computer Science & Information Technology (CS) 2021 [Session 1]20212View paper
Computer Science & Information Technology (CS) 2021 [Session 2]20212View paper
Computer Science & Information Technology (CS) 2019 [Session 2]20193View paper
Computer Science & Information Technology (CS) 2018 [Session 2]20181View paper
Computer Science & Information Technology (CS) 2017 [Session 2]20173View paper
Computer Science & Information Technology (CS) 2016 [Session 1]20161View paper
Computer Science & Information Technology (CS) 2014 [Session 1]20141View paper
Computer Science & Information Technology (CS) 2014 [Session 2]20141View paper
Computer Science & Information Technology (CS) 2013 [Session 1]20131View paper
Computer Science & Information Technology (CS) 2013 [Session 3]20131View paper
Computer Science & Information Technology (CS) 2013 [Session 4]20131View paper
Computer Science & Information Technology (CS) 201020101View paper
Computer Science & Information Technology (CS) 200920091View paper
Computer Science & Information Technology (CS) 200820082View paper

All Number Representation and Arithmetic previous year questions

Practice every matching question in batches of 20, with every available option.

1
2008 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2008

In the IEEE floating point representation the hexadecimal value 0x00000000 corresponds to

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2
2008 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2008
Let r denote number system radix. The only value(s) of r that satisfy the equation \[ \sqrt{121}_r = 11_r \] is/are
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3
2009 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2009
\((1217)_8\) is equivalent to
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4
2010 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2010
P is a 16-bit signed integer. The 2's complement representation of P is (F87B)\(_{16}\). The 2's complement representation of 8*P is
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5
2013 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2013 [Session 1]

The smallest integer that can be represented by an 8-bit number in 2’s complement form is

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6
2014 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2014 [Session 1]
There are 5 bags labeled 1 to 5. All the coins in a given bag have the same weight. Some bags have coins of weight 10 gm, others have coins of weight 11 gm. I pick 1, 2, 4, 8, 16 coins respectively from bags 1 to 5. Their total weight comes out to 323 gm. Then the product of the labels of the bags having 11 gm coins is ___.
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7
2014 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2014 [Session 2]

The value of a float type variable is represented using the single-precision 32-bit floating point format of IEEE-754 standard that uses 1 bit for sign, 8 bits for biased exponent and 23 bits for mantissa. A float type variable X is assigned the decimal value of −14.25. The representation of X in hexadecimal notation is

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8
2016 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2016 [Session 1]
The 16-bit 2's complement representation of an integer is 1111 1111 1111 0101; its decimal representation is ________.
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9
2017 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2017 [Session 2]
The representation of the value of a 16-bit unsigned integer \(X\) in hexadecimal number system is BCA9. The representation of the value of \(X\) in octal number system is
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10
2017 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2017 [Session 2]
Given the following binary number in 32-bit (single precision) IEEE-754 format: \[ 00111110011011010000000000000000 \] The decimal value closest to this floating-point number is
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11
2017 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2017 [Session 2]
Consider a quadratic equation \(x^2 - 13x + 36 = 0\) with coefficients in a base \(b\). The solutions of this equation in the same base \(b\) are \(x = 5\) and \(x = 6\). Then \(b =\) ____________.
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12
2018 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2018 [Session 2]
Consider the unsigned 8-bit fixed point binary number representation below,
\[ b_7 \, b_6 \, b_5 \, b_4 \, b_3 \, b_2 \, b_1 \, b_0 \]
where the position of the binary point is between \(b_3\) and \(b_2\). Assume \(b_7\) is the most significant bit. Some of the decimal numbers listed below cannot be represented exactly in the above representation:
\[ \begin{array}{llll} \text{(i)} & 31.500 & \text{(ii)} & 0.875 & \text{(iii)} & 12.100 & \text{(iv)} & 3.001 \end{array} \]
Which one of the following statements is true?
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13
2019 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2019 [Session 2]
In 16-bit 2’s complement representation, the decimal number –28 is:
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14
2019 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2019 [Session 2]
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:
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15
2019 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2019 [Session 2]
Two numbers are chosen independently and uniformly at random from the set {1, 2, ..., 13}. The probability (rounded off to 3 decimal places) that their 4-bit (unsigned) binary representations have the same most significant bit is __________.
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16
2021 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2021 [Session 1]
Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127.
\(S: 1\) \(E: 10000001\) \(F: 11110000000000000000000\)
Here \(S\), \(E\) and \(F\) denote the sign, exponent and fraction components of the floating point representation.
The decimal value corresponding to the above representation (rounded to 2 decimal places) is __________
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17
2021 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2021 [Session 1]
Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
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18
2021 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2021 [Session 2]
If x and y are two decimal digits and (0.1101)₂ = (0.8xy5)₁₀, the decimal value of x + y is __________
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19
2021 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2021 [Session 2]
The format of the single-precision floating-point representation of a real number as per the IEEE 754 standard is as follows:
signexponentmantissa

Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?
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20
2022 · Computer Science & Information Technology · Digital Logic · Number Representation and Arithmetic
Computer Science & Information Technology (CS) 2022 [Session 2]
Let R1 and R2 be two 4-bit registers that store numbers in 2's complement form. For the operation R1+R2, which one of the following values of R1 and R2 gives an arithmetic overflow?
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Showing 20 of 33 questions