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Jamia Millia Islamia MCA Previous Year Questions (PYQs)

Jamia Millia Islamia MCA 1s Complement 2s Complement PYQ

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





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

Solution

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





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

Solution

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





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Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA 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 MCA PYQ
The 2’s complement of the binary number $(0110100)_2$ is





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

Solution

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





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

Solution

Invert $10110010 \Rightarrow 01001101$, add $1 \Rightarrow 01001110 = 78$. Hence, number $= -78$.
Jamia Millia Islamia MCA PYQ
Assuming all numbers are in 2's complement representation, which of the following numbers is divisible by 11111011?





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Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA JAMIA MILLIA ISLAMIA MCA 2025 PYQ

Solution

Assuming all numbers are in 2’s complement representation, which of the following numbers is divisible by 11111011?
11111011 in 2’s complement = -5
Now convert options:
(a) 11100111 = -25
(b) 11100100 = -28
(c) 11010111 = -41
(d) 11011011 = -37
Only -25 is divisible by -5.

Jamia Millia Islamia MCA PYQ
Zero has two representations in:
(A) Sign magnitude
(B) 1’s complement
(C) 2’s complement
(D) None of the above 





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Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA JAMIA MILLIA ISLAMIA MCA 2025 PYQ

Solution

Zero has two representations in: Sign magnitude has +0 and -0 1’s complement also has +0 and -0 2’s complement has only one zero So correct is A and B.
Jamia Millia Islamia MCA PYQ
The range of 2’s complement representation of an $n$-bit signed integer is:





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Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA 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 MCA PYQ
The 2’s complement of the binary number $(10101000)_2$ is …





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

Solution

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

Jamia Millia Islamia MCA

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