Question

Sabiendo que a02base9=aa11base4, determinar el valor de a.

Answer 1

$a02\: base \: 9 = aa11base4 \\ a( {9)}^{2} + 0(9) + 2 = a( {4)}^{3} + a( {4)}^{2} + 1(4) + 1 \\ 81a + 2 = 64a + 16a + 5 \\ 81a + 2 = 80a + 5 \\ 81a - 80 a = 5 - 2 \\ a = 3$