How can I calculate the dead time to prevent shoot-through?
I have a slightly different circuit than the one proposed by Andy. I used it many times in half-bridge circuits for providing adequate deadtime. I considered a 5-V level for the clock while the AND gates being supplied by a 5-V \$V_{cc}\$ toggle at 2.5 V. If you use different gates, you can modify the below calculations accordingly:

In this example, the macro calculates a 289-pF capacitor for the wanted 200-ns deadtime.