There is no such thing as the "largest" integer. Whatever integer you name,
no matter how big it is, I can always add ' 1 ' to it ... or any other integer ...
and get as many more as I want, that are all larger than your number.
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3 is the largest.
An integer is a whole number, and the largest integer less than 9.5 would be 9.4
For an unsigned integer, that would be 216-1. For a signed integer in 2's complement notation, the largest number would be 215-1.
In real-world math, there is no "largest" integer or floating point number. This is covered by the concepts known as "infinity" and "irrationality." Depending on the processor and/or application, a number with significant digits into the thousands can be operated upon.
The largest integer equal to -100 is -100. The largest integer less than -100 is -101.