How to calculate UMASK in Linux?

Though umask value is same for files and folders but calculation of File base permissions and Directory base permissions are different.

The minimum and maximum UMASK value for a folder is 000 and 777
 The minimum and maximum UMASK value for a file is 000 and 666

Why 666 is the maximum value for file?
This is because only scripts and binaries should have execute permissions, normal and regular files should have just read and write permissions. Directories require execute permissions for viewing the contents in it, so they can have 777 as permissions.

Below are the permissions and its values used by UMASK. If you are Linux/Unix user you observe these are inverse to actual permissions values when setting up permissions to files/folders with CHMOD command.

 0 --Full permissions(Read, Write, Execute)
 1 --Write and read
 2 --Read and execute
 3 --Read only
 4 --Write and execute
 5 --Write only
 6 --Execute onlyadminadmin
 7 --No permissions

How to remember these and calculate the file and folder permissions?
Consider above values are inverse to actual permissions. Suppose your UMASK value is 0027(027).

For folder:
To calculate actual folder permissions from UMASK is done in two steps

Step1:Logical Negate the UMASK

Not(027) = 750

Step2: Logical AND this number with 777

777 AND 750 = 750

So actual folder permissions is 750 when its created. Owner will get full permission, group gets execute and write permissions and others no permissions

In other words and simple way..
We have to subtract 027 from 777 then we will get the actual folder permissions.

777 - 027 = 750

which is nothing but full permissions for the owner, read and execute permissions for group and no permissions for others.

For files:
To get actuall file permissions from UMASK is done in two steps

Step1:Logical Negate the UMASK

Not(027) = 750

Step2: Logical AND this number with 666

666 AND 750 = 640

For your understanding purpose we have calculated this below equation to get what actuall AND operator do.

110 + 111 = 110(6)
110 + 101 = 100(4)
110 + 000 = 000(0)

How to see default UMASK?
just type umask and you will get whats the default UMASK

umask

Output

0022

Some FAQ related to umask:

1)How to setup or change default UMASK for all the new users?
The UMASK value can be set in /etc/profile for all the new users. Open this file as root user and given the below line in the file.

umask 027

2)How to setup or change default UMASK for existing users?
For existing users you can edit ~/.bashrc file in their home directory. This should be done for all the users one by one or if the machine is having lots and lots of users then you can write a shell script for this.

3)I see people are using 0022 and 022 as UMASK, is there any difference between them?

There is no difference between these two, both indicates one and the same. The preceding 0 indicates there is no SUID/SGID/Sticky bit information set.

4)What is the perferred UMASK value for a system for Security reasons?

Prefered is 027(0027) for security reasons becasue this will restrict others not to read/write/execute that file/folder

5)I see umask value as 022 in my vsftpd config file? what actually this means?

When you see 022 as umask value in vsftpd config file that indicates that users who are going to create files will get 644  and for folders its 755 respectively.

To know more about umask refer man pages and info pages.

man umask

info umask

Please comment at comments section for any queries related to umask.