Number Systems and Base Conversion
CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Number Systems
Given below are two statements: Statement I : is equivalent to Statement II : The last 4 bits in the binary representation of a multiple of 16 is 1000.
In light of the above statements, choose the correct answer from the options given below:
- A.
Both Statement I and Statement II are true
- B.
Both Statement I and Statement II are false
- C.
Statement I is true but Statement II is false
- D.
Statement I is false but Statement II is true
C
Explanation
For Statement I: . . So Statement I is true. For Statement II: Any multiple of 16 () ends with 0000 in binary representation, not 1000. So Statement II is false. Hence, Statement I is true but Statement II is false.
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