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

Statement I:(4A2F) in base 16 equals (18991) in base 10.

Statement II:(6940) in base 10 equals (1B1C) 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 conversions between base 16 and base 10 are correct.

Statement 1 (4A2F) in base 16 expands to 16384 plus 2560 plus 32 plus 15, giving 18991.

Each hexadecimal digit is weighted by a power of 16 from right to left.

Statement 2 dividing 6940 by 16 repeatedly yields the digits 1, B, 1, C.

So 6940 in base 10 is written as (1B1C) in base 16.

Hexadecimal uses digits 0 to 9 and letters A to F for values 10 to 15.

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