, design a two-digit decimal counter that counts from 00 up to 59. The 74LS190 should be used for the units stage (least significant decimal digit) and the 74LS163 for the tens stage.
I would do it the other way around. A '90 does not have a carry output. If you use a '162, then it has a BCD count. Otherwise you have to cloch the -163 when the '90 falls back to 0.