Convert \(47_8\) to its binary equivalent.
a
100111\(_2\)
b
110011\(_2\)
c
10001\(_2\)
d
1111011\(_2\)
Explanation
Correct Option
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Discussions (14)

kachiiyke
2 years ago
solution
first convert to base 10
478 = 4 x 81 + 7 x 80
32 + 7 = 39
2/39 R 1
2/19 R 1
2/9 R 1
2/4 R 0
2/2 R 0
2/1 R 1
478=3910 =1001112

rytar
2 years ago
first convert to base 10 since its in base 8
(4*8^1) + ( 7*8^0)
32 + 7 = 39(base ten )
now convert to base 2
2/39 = 19 r 1
2/19 = 9 r 1
2/9 = 4 r 1
2/4 = 2 r 0
2/2 = 1 r 0
2/1 = 0 r 1 = 100111


