The fastest route is via Sacramento for a 6 hour drive. There are shorter and more scenic routes available that you may have an interest in trying. See Google Maps or Mapquest for further details.
About 150 road miles.
The drive from Boise to Yosemite Valley, the main part of Yosemite National Park, is 593 miles, or 11 hours. The nearest entry gate to the park, however, is only about 530 miles, or 10 hours away. If you're not up for the full drive in one day, you could stay in Reno for cheap hotels or in Mammoth Lakes to get up and finish the drive to Yosemite in the morning. (I actually just did this drive!)
It is 275 miles via CA-88 and CA-49.
It depends on the exact location of where you plan to start and end, hwever, the distance I saw on Google Maps was 153 miles. This means that it should take about 3 hours to drive from Reno to Yosemite National Park.
Reno is about 200 miles away from Yosemite Valley. You would have to take Tioga Road to the north of the valley.
It is 275 miles via CA-88 West and CA-49 South according to Google Maps
It is 275 miles via CA-88 West and CA-49 South with an estimated driving time of 6 hours and 6 minutes according to Google Maps.
About 370 miles.
The drive is almost 250 miles. You would need to allow at least 5 hours and 30 minutes, excluding rest breaks.
152 miles
5 hours
About 667 road miles to the south entrance on US-20.