(101011)₂ = (53)ᵦ, then b is equal to:
2005
(101011)₂ = (53)ᵦ, then b is equal to:
- A.
4
- B.
8
- C.
10
- D.
16
Attempted by 108 students.
Show answer & explanation
Correct answer: B
First, convert binary (101011)₂ to decimal: 32 + 8 + 2 + 1 = 43.
Next, expand (53)ᵦ as 5b + 3.
Equating them yields 5b + 3 = 43, so 5b = 40 and b = 8.
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