Find x if (x(_4))(^2) = 100100(_2)
-
A.
6 -
B.
12 -
C.
100 -
D.
210 -
E.
110
Correct Answer: Option B
Explanation
x(_4) = x (times) 4(^0) = x in base 10.
100100(_2) = 1 x 2(^5) + 1 x 2(^2)
= 32 + 4
= 36 in base 10
(implies) x(^2) = 36
x = 6 in base 10.
Convert 6 to a number in base 4.
| 4 | 6 |
| 4 | 1 r 2 |
| 0 r 1 |
= 12(_4)