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Question

Mathematics Question on Number Systems

Given below are two statements:
Statement I: If (12P)3 = (123)p, then the value of p is 8.
Statement II: In 16-bit 2's complement representation, the decimal number -28 is 11111 111111100100.
In the light of the above Statements, choose the most appropriate answer from the options given below :

A

Both Statement I and Statement II are correct

B

Both Statement I and Statement II are incorrect

C

Statement I is correct but statement II is incorrect

D

Statement I is incorrect but statement II is correct

Answer

Statement I is incorrect but statement II is correct

Explanation

Solution

The correct answer is(D): Statement I is incorrect but statement II is correct