What is the value of (3564)₈ + (32332)₄?
2021
What is the value of (3564)₈ + (32332)₄?
- A.
(B32)₁₆
- B.
(1662)₁₆
- C.
(1762)₁₆
- D.
(1562)₁₆
Attempted by 73 students.
Show answer & explanation
Correct answer: A
Convert both numbers to decimal: (3564)₈ = 3×8³ + 5×8² + 6×8 + 4 = 1908₁₀. (32332)₄ = 3×4⁴ + 2×4³ + 3×4² + 3×4 + 2 = 958₁₀. Sum = 2866₁₀. Converting 2866 to hexadecimal gives B32, so the answer is (B32)₁₆.