What is the sum of the binary (base 2) number (1100) and the hexadecimal (base 16) number (3)?

A(F) base 16 ✓ Correct

B(15) base 16

C(1003) base 10

D(1103) base 8

Correct answer: (A) (F) base 16

Explanation

Binary 1100 is decimal 12 and hexadecimal 3 is decimal 3, and their sum 15 is F in base sixteen.

In binary, 1100 means 8 plus 4, which equals 12.

Hexadecimal digit 3 simply equals 3 in decimal.

Adding 12 and 3 gives 15 in decimal.

Decimal 15 is written as F in hexadecimal, where A to F stand for 10 to 15.

The other choices give wrong bases or wrong values for the sum of 15.

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