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Jamia Millia Islamia Previous Year Questions (PYQs)

Jamia Millia Islamia 1s Complement 2s Complement PYQ

Jamia Millia Islamia PYQ
The 10’s complement of $455$ is —





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

10’s complement = $10^3 - 455 = 1000 - 455 = 545$
Jamia Millia Islamia PYQ
The 2’s complement of $5$ is —





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

Binary of $5 = 0101$ 1’s complement = $1010$ Add 1 → $1011$ (2’s complement)
Jamia Millia Islamia PYQ
By using .............. addition or subtraction of signed numbers are performed.





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Signed number arithmetic (addition/subtraction) is performed using **2’s complement representation** in digital systems.
Jamia Millia Islamia PYQ
The 2’s complement of the binary number $(0110100)_2$ is





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Invert bits → $1001011$, add $1$ → $1001100$. $\boxed{1001100}$
Jamia Millia Islamia PYQ
The 2’s complement $10110010$ represents the negative number in 8-bit system





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Invert $10110010 \Rightarrow 01001101$, add $1 \Rightarrow 01001110 = 78$. Hence, number $= -78$.
Jamia Millia Islamia PYQ
The range of 2’s complement representation of an $n$-bit signed integer is:





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

The range of $n$-bit 2’s complement numbers is $-2^{n-1}$ to $2^{n-1}-1$
Jamia Millia Islamia PYQ
The 2’s complement of the binary number $(10101000)_2$ is …





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Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Step 1: Find 1’s complement → $(10101000)_2 \Rightarrow (01010111)_2$. Step 2: Add 1 → $(01010111)_2 + 1 = (01011000)_2$.

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