If (L)M represents a number L is base-M number system, then which of the…
2026
If (L)M represents a number L is base-M number system, then which of the following numbers are equivalent to (AD)16?
A. (255)8
B. (10101101)2
C. (173)10
D. (1141)5
Choose the correct answer from the options given below:
- A.
A, C and D only
- B.
B and D only
- C.
A and B only
- D.
A, B and C only
Attempted by 44 students.
Show answer & explanation
Correct answer: D
First, convert (AD)16 to decimal: A=10, D=13.
Value = 10*16 + 13 = 173.
Check Option A: (255)8 = 2*64 + 5*8 + 5 = 173.
Check Option B: (10101101)2 = 128 + 32 + 8 + 4 + 1 = 173.
Check Option C: (173)10 = 173.
Check Option D: (1141)5 = 125 + 25 + 20 + 1 = 171.
Therefore, A, B, and C are equivalent.