Question:medium
Add the following hexadecimal numbers: \(DF_{16} + AC_{16}\)
Add the following hexadecimal numbers: \(DF_{16} + AC_{16}\)
Show Hint
Use decimal conversion for hexadecimal arithmetic and reconvert the result to hexadecimal.
Updated On: Feb 11, 2026
- \(AF_{16}\)
- \(7B_{16}\)
- \(18B_{16}\)
- \(BA_{16}\)
Show Solution
The Correct Option is C
Solution and Explanation
To add the hexadecimal numbers, first convert them to decimal: DF16 equals 223 (13 × 16 + 15), and AC16 equals 172 (10 × 16 + 12). Add these decimal values: 223 + 172 = 395. Finally, convert the decimal sum 395 back to hexadecimal, which results in 18B16 (395 ÷ 16 = 24 with a remainder of 11).
Was this answer helpful?
0
Top Questions on Digital Logic
- Match the following:
- CUET (PG) - 2026
- Computer Science
- Digital Logic
- What is the number of clock pulses required to completely load and then unload a 4-bit register?
- CUET (PG) - 2026
- Computer Science
- Digital Logic
- What operation is performed by the given circuit?
- GATE EC - 2025
- Digital Electronics
- Digital Logic
- The simultaneous equations on the Boolean variables x, y, z, and w are: x + y + z = 1, xy = 0, x + y + w = 1, xy + z = 0. The solution for x, y, z, and w, respectively, is:
- Want to practice more? Try solving extra ecology questions todayView All Questions