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Answer :
Final answer:
The 2's complement value 11000010 represents the decimal equivalent of -62, indicating a potential error in the options provided. Conversion involves bit inversion followed by adding 1 to the result.
Explanation:
The given 2's complement value is 11000010. To find its decimal representation, we need to check the first bit. If the first bit is a 1, it indicates a negative number in 2's complement representation. To find the decimal equivalent, we invert all bits and then add 1 to the result. So, step by step, for 11000010 we first invert the bits: 00111101. Then we add 1, which gives us: 00111110. This binary value represents the decimal number 62. However, because the original first bit was a 1, we know this number is negative. Therefore, the correct decimal representation is -62, which is not one of the options provided. It is possible there has been a mistake in the question or the options given. Always remember that in the first bit is 1 in 2's complement, it indicates a negative value.
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