nimcet Data Representation - Number System Previous Year Question Paper and Solution with PDF

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nimcet Previous Year Questions (PYQs)

nimcet Data Representation - Number System PYQ

Qus : 1nimcet PYQ 2019

If we can generate a maximum of 4 Boolean functions using n Boolean variables, what will be minimum value of n?

NIMCET PREVIOUS YEAR QUESTION

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nimcet Computer PYQnimcet Boolean algebra PYQ

Solution

Question: If we can generate a maximum of 4 Boolean functions using n Boolean variables, what is the minimum value of n?

Formula: Number of Boolean functions of $n$ variables is:

$2^{2^n}$

Condition: We are told the total functions must be ≤ 4:

$2^{2^n} \leq 4$

✅ Try values of $n$ :

$n = 0$ : $2^{2^0} = 2^1 = 2$ ✅
$n = 1$ : $2^{2^1} = 2^2 = 4$ ✅
$n = 2$ : $2^{2^2} = 2^4 = 16$ ❌

Minimum $n$ for which number of Boolean functions ≤ 4 is:

$\boxed{1}$

✅ Final Answer: $\boxed{1}$

Qus : 2nimcet PYQ 2017

The representation of a floating point binary number +1001.11 in 8 bit fraction and 6 bit exponent format is

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nimcet Previous Year PYQnimcet NIMCET 2017 PYQ

Solution

Qus : 3nimcet PYQ 2017

Consider the equation (40)_x = (132)_y is some bases x and y. Then a possible set of value of x and y are

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nimcet Previous Year PYQnimcet NIMCET 2017 PYQ

Solution

$\begin{array}{ll}{{{(40})}_x={{(132)}}_y} \\ {\Rightarrow4\times{x}^1}+0\times{x}^0=1\times{y}^2+3\times{y}^1+2\times{y}^0 \\ {\Rightarrow4x+0={y}^2+3y^{}+2} \\ {4x={y}^2+3y^{}+2}\end{array}$

Qus : 4nimcet PYQ 2023

Suppose we have a 10-bit computer that uses 10-bit int (2's complement representation). the number representation of - 35 is

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nimcet Previous Year PYQnimcet NIMCET 2023 PYQ

Solution

10-bit 2's Complement Representation of –35

Format: 10-bit signed integer using 2's complement representation.

Step-by-Step:

First, convert 35 to 10-bit binary: 0000100011
Find 1's complement: 1111011100
Add 1 (to get 2's complement): 1111011101

✅ Final Answer: 1111011101

–35 in 10-bit 2's complement: 1111011101

Qus : 5nimcet PYQ 2023

What is a potential problem of 1’s complement representation of numbers?

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nimcet Previous Year PYQnimcet NIMCET 2023 PYQ

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Qus : 6nimcet PYQ 2019

In IEEE single precision floating point representation, exponent is represented in ______

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Qus : 7nimcet PYQ 2019

With 4-bit 2's complement arithmetic, which of the following addition will result in overflow?

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nimcet Previous Year PYQnimcet NIMCET 2019 PYQ

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Qus : 8nimcet PYQ 2019

If the 2's complement representation of a number is (011010)₂ , what is its equivalent hexadecimal representation?

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nimcet Previous Year PYQnimcet NIMCET 2019 PYQ

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Qus : 9nimcet PYQ 2019

The base ( or radix) of the number system such that the following equation holds 312/20 = 131.1 is

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nimcet Previous Year PYQnimcet NIMCET 2019 PYQ

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Qus : 10nimcet PYQ 2019

Which of the following represents (D4)₁₆?

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nimcet Previous Year PYQnimcet NIMCET 2019 PYQ

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nimcet Previous Year Questions (PYQs)

nimcet Data Representation - Number System PYQ

Solution

Question: If we can generate a maximum of 4 Boolean functions using n Boolean variables, what is the minimum value of n?

✅ Try values of nn:

Solution

Solution

Solution

10-bit 2's Complement Representation of –35

Step-by-Step:

Solution

Solution

Solution

Solution

Solution

Solution

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✅ Try values of $n$ :