Phrases 1s Complement 2s Complement Previous Year Question Paper and Solution with PDF

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Phrases 1s Complement 2s Complement PYQ

Qus : 1

Which of the following is the representation of decimal number (- 147) in 2's compliment notation on a 12-bit machine?

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Solution

Qus : 2

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

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Solution

Qus : 3

The maximum and minimum value represented in signed 16-bit 2s compliment representation are

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Solution

Maximum & Minimum in 16-bit 2's Complement

Total Bits: 16

Format: 1 sign bit + 15 magnitude bits

Maximum (positive): 0111 1111 1111 1111₍₂₎ = +32,767
Minimum (negative): 1000 0000 0000 0000₍₂₎ = −32,768

✅ Final Answer:
Minimum = −32,768
Maximum = +32,767

Qus : 4

If N is a 16-bit signed integer, then 2's complement representation of N is (F87B)₁₆. The 2's complement representation of 8*N is

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Qus : 5

In an 8 bit representation of computer system the decimal number 47 has to be subtracted from 38 and the result in binary 2's complement is _________

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Qus : 6

The maximum and minimum value represented in signed 16 bit 2's complement representations are

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Solution

Range of 2's complement

$-2^{n-1}$ to

$2^{n-1}+1$

Range for 16 bits =

$-2^{16-1}$ to

$2^{16-1}+1$

Range for 16 bits =

$-2^{15}$ to

$2^{25}+1$

Range for 16 bits =

$-32768$ to

$32767$

Qus : 7

The 2's complement representation of the number (–100)₁₀ in an 8 bit computer is

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Solution

Qus : 8

Subtract (1010)₂ from (1101)₂using first complement

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Solution

Qus : 9

The range of n-bit signed magnitude representation is

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Solution

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Phrases Previous Year Questions (PYQs)

Phrases 1s Complement 2s Complement PYQ

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Maximum & Minimum in 16-bit 2's Complement

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