(34.4)8 × (23.4)8 evaluates to:
(A)
(1053.6)8
(B)
(1053.2)8
(C)
(1024.2)8
(D)
None of these
Answer: (A)
Explanation:
We convert (34.4)8 to decimal. = 3 * 81 + 4 * 80 + 4 * 8-1 = 3 * 8 + 4 + 0.5 = (28.5)10
We covert (23.4)8 to decimal. = 2 * 81 + 3 * 80 + 4 * 8-1 = 2 * 8 + 3 + 0.5 = (19.5)10
Now, (28.5)10 * (19.5)10 = (555.75)10
We convert (555.5)10 to octal. 555 / 8 = 69 , 555 % 8 = 3 69 / 8 = 8 , 69 % 8 = 5 8 / 8 = 1 , 8 % 8 = 0 1 / 8 = 0 , 1 % 8 = 1
We keep multiplying the decimal part by 8 till it becomes 0. 0.75 * 8 = 6.0
Thus, (555.75)10 = (1053.6)8
Thus, option (A) is correct.
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