NIMCET 2016 — Computer PYQ

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Question

NIMCET 2016 — Computer PYQ

NIMCET | Computer | 2016

The 2's complement representation of the number $(- 100)_{1} 0$ in an 8 bit computer is

Choose the correct answer:

Explanation

Concept:
Convert decimal to binary
Conversion steps:
Divide the number by 2.
Get the integer quotient for the next iteration.
Get the remainder for the binary digit.
Repeat the steps until the quotient is equal to 0.
Calculation:
Convert $(- 100)_{1} 0$ to binary

So, the binary equivalent of 100 is 1100100
$(100)_{1} 0$ in binary system 1100100
Now two’s complement = 1st complement + 1
= 0011011 + 1
= 0011100
For $(–100)_10$ will be 10011100