TRUTHY:
 
11111
00001<
00011<
11F11
 
Turn 1:
11111
00010<
00110<   Doesn't jump yet, because it waits for the second platform
11F11
 
Turn 2:
11111
00100<
01100<
11F11
 
11111
00100<
01F00<   Now it jumps forward (to the second 1 of the bottom intermediate line)
11111
 
Turn 3:
11111
01000<
1F000<
11111
 
11111
0F000<
11000<
11111
 
Turn 4:
11111
F0000<
10001<
11111
 
F1111    Because the frog waited for the second one, it made it to the other side
10000<
10001<
11111