You won't always want to have your PlayStation 4 powered up when you're trying to download games and patches. Thankfully, the system ships with a neat Rest Mode state, which will allow you to tackle any administration activities in a low power setting. Sadly, it's not immediately clear how to set this up, but we have answers.
1. Setup Your Rest Mode Options
Login to your primary PS4 account, push up on the d-pad, and select the 'Settings' option from the toolbar. Scroll down to 'Power Saving Settings', select it, and twirl down to 'Set Functions Available in Rest Mode'. Check the box marked 'Stay Connected to the Internet'.
2. Start Your Download
The PS4 will automatically search for updates of recently installed files and begin downloading them in the background. Additionally, if you purchase an item from the PlayStation Store, this will be added to your download queue.
3. Put Your Console into Rest Mode
If you've finished playing but want the console to continue to download and install your content, exit to the main menu and push up on the d-pad. Select the 'Power' option and select 'Enter Rest Mode'. Your console will shut down as normal, but will show an orange light on top. Remember to not unplug the system while it's in this state.
4. Turn Your PS4 Back On
Push the PlayStation button on a synched DualShock 4 or the power button on the front of the unit to turn the device back on. Depending on the amount of time that you've left the system in Rest Mode, the content should have been downloaded and installed to your device. If it hasn't quite finished yet, it will continue working in the background while you play.