JAMB - Mathematics (1983 - No. 16)
Find x if (x\(_4\))\(^2\) = 100100\(_2\)
6
12
100
210
110
Wyjaśnienie
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\(_4\)