Given below are two statements. In the light of the above statements, choose the most appropriate answer from the options given below:

Statement I:(11001000) in base 2 = (C8) in base 16 = (200) in base 10

Statement II:(123) in base 10 = (1111011) in base 2 = (7B) in base 16

ABoth Statement I and Statement II are true ✓ Correct

BBoth Statement I and Statement II are false

CStatement I is true but Statement II is false

DStatement I is false but Statement II is true

Correct answer: (A) Both Statement I and Statement II are true

Explanation

Both Statement 1 and Statement 2 are true.

In Statement 1, 11001000 base 2 = 128 + 64 + 8 = 200, and C8 base 16 = 12 x 16 + 8 = 200.

So all three forms in Statement 1 equal 200.

In Statement 2, 123 = 64 + 32 + 16 + 8 + 2 + 1, which is 1111011 in base 2.

Also 7B base 16 = 7 x 16 + 11 = 123, so Statement 2 also holds.

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