If (L)M represents a number L in base-M number system, then which of the…
2024
If (L)M represents a number L in base-M number system, then which of the following numbers are equivalent to (19)16?
(A) (11001)2 (B) (201)3 (C) (121)4 (D) (101)5 (E) (25)10
Choose the correct answer from the options given below :
- A.
(A), (C) and (E) Only
- B.
(B) and (D) Only
- C.
(A), (B) and (D) Only
- D.
(A), (B), (C), (D) and (E)
Attempted by 61 students.
Show answer & explanation
Correct answer: A
First, convert (19)₁₆ to decimal: 1 × 16 + 9 = 25. Next, evaluate each option: (A) (11001)₂ = 16 + 8 + 1 = 25. (B) (201)₃ = 18 + 1 = 19. (C) (121)₄ = 16 + 8 + 1 = 25. (D) (101)₅ = 25 + 1 = 26. (E) (25)₁₀ = 25. Thus, options A, C, and E are equivalent to (19)₁₆.