Hello,
Thank you for posting your query on Microsoft Community.
As per description, You are facing issue while checking for updates.
I would suggest you to follow the methods given below and check.
**Method 1:**If you receive Windows Update error 8024001F while checking for updates, you need to connect to the Internet. Make sure that your network cable is plugged in and securely connected to your computer.
Refer to the article below and run automatic troubleshooter.
**Windows Update error 8024001F**
If issue still persists try method 2,
**Method 2:**Step1:
You may try to temporary disable all antivirus software’s installed on your computer. Refer the following link.
Disable Anti-virus software
http://windows.microsoft.com/en-US/windows7/Disable-antivirus-software
NOTE: Antivirus software can help protect your computer against viruses and other security threats. In most cases, you shouldn't disable your antivirus software. If you have to temporarily disable it to install other software, you should re-enable it as soon as you're done. If you're connected to the Internet or a network while your antivirus software is disabled, your computer is vulnerable to attacks
Step 2:
After disabling antivirus, you may try to check for updates in Clean Boot state. Refer the following article.
How to troubleshoot a problem by performing a clean boot in Windows Vista or in Windows 7 ****http://support.microsoft.com/kb/929135
Note: After clean boot troubleshooting step, follow the section "How to reset the computer to start as usual after troubleshooting with clean boot" in the provided link to return your computer to Normal startup mode.
Method 3:
You may run the System Update Readiness Tool and then try to install the update. Refer the following article.
Description of the System Update Readiness Tool for Windows Vista, for Windows Server 2008, for Windows 7, and for Windows Server 2008 R2
http://support.microsoft.com/kb/947821
Hope the information helps. Let us know if you need further assistance with Windows related issues, we’ll be glad to assist you.