The 8-bit 2's complement form of the number -14 is ______.

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KVS TGT WET (Work Experience Teacher) 8 Jan 2017 Official Paper
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  1. 11110010
  2. 00001110
  3. 10001110
  4. 01110001

Answer (Detailed Solution Below)

Option 1 : 11110010
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Detailed Solution

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Calculation:

14 in binary form is represented as:

1410 = (00001110)2

Taking the 1's complement of the above, we get 11110001

Adding 1 to the 1's complement, we get the 2's complement representation of the number, i.e. 11110010

Since there is a 1 in the MSB, the number is a negative number with value -14.

∴ The 2's complement of -6410 contains 7 bits.

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