Jamia Millia Islamia MCA 1s Complement 2s Complement Previous Year Questions (PYQs)
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The 10’s complement of $455$ is —
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Solution
10’s complement = $10^3 - 455 = 1000 - 455 = 545$
The 2’s complement of $5$ is —
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Solution
Binary of $5 = 0101$
1’s complement = $1010$
Add 1 → $1011$ (2’s complement)
By using .............. addition or subtraction of signed numbers are performed.
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Solution
Solution:
Signed number arithmetic (addition/subtraction) is performed using **2’s complement representation** in digital systems.
The 2’s complement of the binary number $(0110100)_2$ is
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Solution
Invert bits → $1001011$, add $1$ → $1001100$.
$\boxed{1001100}$
The 2’s complement $10110010$ represents the negative number in 8-bit system
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Solution
Invert $10110010 \Rightarrow 01001101$, add $1 \Rightarrow 01001110 = 78$.
Hence, number $= -78$.
Assuming all numbers are in 2's complement representation, which of the following numbers is divisible by 11111011?
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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.
Zero has two representations in:
(A) Sign magnitude
(B) 1’s complement
(C) 2’s complement
(D) None of the above
(A) Sign magnitude
(B) 1’s complement
(C) 2’s complement
(D) None of the above
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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.
The range of 2’s complement representation of an $n$-bit signed integer is:
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Solution
The range of $n$-bit 2’s complement numbers is
$-2^{n-1}$ to $2^{n-1}-1$
The 2’s complement of the binary number $(10101000)_2$ is …
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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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