Logical operators ("and", "or") in DOS batch

The IF statement does not support logical operators AND and OR. Cascading IF statements make an implicit conjunction:

IF Exist File1.Dat IF Exist File2.Dat GOTO FILE12_EXIST_LABEL

If File1.Dat and File2.Dat exist then jump to the label FILE12_EXIST_LABEL.

See also: IF /?

You can do and with nested conditions:

if %age% geq 2 (
    if %age% leq 12 (
        set class=child
    )
)

or:

if %age% geq 2 if %age% leq 12 set class=child

You can do or with a separate variable:

set res=F
if %hour% leq 6 set res=T
if %hour% geq 22 set res=T
if "%res%"=="T" (
    set state=asleep
)

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Note that this answer is tailored toward cmd batch language, the one found in Windows. You mention "DOS batch" but, based on several points, I think the former choice is a safe bet⁽¹⁾.

If you really meant the original MS-DOS batch language, you should keep in mind that the if statement was a lot simpler, and you may need to use chunks of if ... goto for control flow, rather than (for example) parentheses or else.

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⁽¹⁾ Supported by the following points:

• The presence of the cmd and windows-console tags;
• Prior experience of some people failing to recognise the very real difference between cmd and MS-DOS batch languages, and conflating DOC with the cmd terminal window;
• The question using the more generic "DOS" rather than specifically "MS-DOS" (where "DOS" could possibly be any disk operating system;
• The fact this is Stack Overflow rather than the retro-computing sister site, where a question about MS-DOS would be way more appropriate (I'm often on that site as well, it's nice for those of us who remember and appreciate computer history); and
• The (eventual) acceptance of the answer by the original asker, indicating that the solution worked.