If (L)M represents a number L in base-M number system, then what will be the…
2024
If (L)M represents a number L in base-M number system, then what will be the value of (107)16+(257)16 ?
- A.
(762)10
- B.
(862)10
- C.
(962)10
- D.
(662)10
Attempted by 91 students.
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Correct answer: B
Convert each hexadecimal number to decimal and add:
(107)₁₆ in decimal: 1×16² + 0×16 + 7 = 256 + 0 + 7 = 263
(257)₁₆ in decimal: 2×16² + 5×16 + 7 = 512 + 80 + 7 = 599
Add the decimal values: 263 + 599 = 862
Answer: (862)₁₀
Optional: Verify by adding directly in hexadecimal:
7 + 7 = E (hex)
0 + 5 = 5
1 + 2 = 3
Hex sum: (35E)₁₆ = 3×16² + 5×16 + 14 = 768 + 80 + 14 = 862