Question
Download Solution PDFWhat is the sum of the binary (base 2) number (1100)2 and the hexadecimal (base 16) number (3)16?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFthe correct answer is 1) (F)16,
Important Points
To add the binary number (1100)2 and the hexadecimal number (3)16,
- we need to convert them to the same base.
- We can convert the hexadecimal number to binary by replacing each digit with its 4-bit binary equivalent:
- (3)16 = (0011)2
- Now we can add the binary numbers:
- 1100
- 0011
- 1111
The result is (1111)2 in binary.
- To convert this to hexadecimal,
- we can group the binary digits into groups of 4, starting from the right:
- (1111)2 = (F)16
Therefore, the sum of the binary number (1100)2 and the hexadecimal number (3)16 is (F)16. Option 1, (F)16, is the correct answer.
Last updated on Jun 12, 2025
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