my iPhone 5s will not update and its asking me to either update or restore to default

Hi Jrome1108,

Welcome to the Support Communities! The article you referenced suggestes that error 27 indicates a hardware issue with the iPhone or the computer. It offers the following troubleshooting steps:

Resolve iOS update and restore errors - Apple Support
http://support.apple.com/en-us/TS3694

Check for hardware issues

Related errors: 1, 3, 10, 11, 12, 13, 14, 16, 20, 21, 23, 26, 27, 28, 29, 34, 35, 36, 37, 40, 1000, 1002, 1004, 1011, 1012, 1014, 1667, or 1669.

These errors mean that your device or computer may have a hardware issue that's preventing the update or restore from completing.

1. Check that your security software and settings aren't preventing your device from communicating with the Apple update server.
2. Then try to restore your iOS device two more times while connected with a cable, computer, and network you know are good.
3. Confirm that your security software and settings are allowing communication between your device and update servers.
4. If you still see the error message when you update or restore, contact Apple support.

Resolve issues between iTunes and security software - Apple Support
http://support.apple.com/en-us/HT201413

Resolve issues between iTunes and security software

If you can’t open iTunes, download content, sync your device, or use Home Sharing, you might have an issue with security software.

What you might see

Security software created by companies other than Apple can prevent iTunes from connecting to Apple servers. Sometimes, you might see a numeric error message when you sync, update, back up, or restore your device:

• iTunes won’t open
• You can’t connect to iTunes Store to buy or download content
• iPhone, iPad, or iPod touch won't back up, restore, update, sync, or activate with iTunes
• iPhone, iPad, or iPod touch isn't recognized by iTunes
• iPod isn't recognized by iTunes.
• iPod won't sync with iTunes.
• Apple TV won’t restore with iTunes
• iTunes Error 4 or iTunes Error 6
• iTunes Error 1630–1641
• iTunes Errors between 3000–3999. Example: iTunes Error 3004 or iTunes Error 3014
• iTunes Errors between 9000–9999. Example: iTunes Error 9006 or iTunes Error 9844

Get started

First try these basic steps to see if they resolve the issue. If they don’t, continue to the next section.

• Set the correct date, time, and time zone on your computer.
• Log in to an administrative user account.
• Get the latest version of iTunes.
• Update OS X or Windows, and update your security software.

Configure your software

After you update your security software, configure it to let iTunes communicate through the ports and servers listed here. Configuration steps vary by software, so contact the developer for specifics. Blocked ports are often related to numbered errors in the 3000 range.

• Ports: 80 and 443
• Apple servers:
  • phobos.apple.com
  • deimos3.apple.com
  • albert.apple.com
  • gs.apple.com
  • itunes.apple.com
  • ax.itunes.apple.com
  • Verisign servers:
  • evintl-ocsp.verisign.com
  • evsecure-ocsp.verisign.com

Find a more complete list of ports used by Apple products. You might also need to configure your security software to allow specific services to run.

Remove your software and proxies

If your PC or router is using proxy settings, try connecting to the iTunes Store without using an Internet proxy. On a PC, you can use the built-in diagnostics in iTunes to test your connections and generate reports.

If the issue continues, disable or uninstall your security software temporarily, but first note any licenses and confirm you can reinstall the software.

• Restart your computer and try to connect with iTunes again.
• Check your hosts file to verify that it's not blocking iTunes from communicating with the update server.

When you’re done with these steps, re-install and re-enable your security software to keep your system safe. If uninstalling your security software resolved the issue, contact the developer to help you configure the software to work with iTunes.

Test connectivity

If you’re still having issues using AirPlay, Home Sharing, iTunes, or Remote, test the connectivity between the computers or devices in your house. They need to be connected to the same network and subnet.

Information about products not manufactured by Apple, or independent websites not controlled or tested by Apple, is provided without recommendation or endorsement. Apple assumes no responsibility with regard to the selection, performance, or use of third-party websites or products. Apple makes no representations regarding third-party website accuracy or reliability. Risks are inherent in the use of the Internet. Contact the vendor for additional information.

Last Modified: Nov 6, 2014

I hope this information helps ....

- Judy