Graph
Integer

#️⃣Integer

NEW

Also known as: Int

A whole number without fractional part, including negatives, zero, and positives.

DESCRIPTION

Integers form the set ℤ of whole numbers and are closed under addition, subtraction, and multiplication. In computing, fixed-width signed integers use two’s complement and can overflow. Many languages also provide arbitrary-precision integers to avoid overflow at performance cost. Databases define integer types with specific ranges (e.g., 32-bit, 64-bit). Choice between integer and floating-point affects precision, performance, and storage.

ALTERNATIVE DEFINITIONS

Wikipedia

An integer is a number that can be written without a fractional component.

Emphasizes absence of fractional component.

Source

Wolfram MathWorld

An integer is a member of the set of positive whole numbers, negative whole numbers, and zero.

Explicitly enumerates positive, negative, and zero membership.

Source

Whole Number Real Number Two’s Complement Overflow Arbitrary-Precision Integer Modulus Operator Numeric Type Casting

COMPETING TERMS

Floating-Point Number

KNOWLEDGE AREAS

Mathematics Programming Languages Data Storage & Operations

TARGET AUDIENCE

Software Developer Data Engineer Data Scientist Data Modeler

EXTERNAL SOURCES

TOP QUESTIONS

When should I use Integer instead of floating-point?

Use integers for counts, indexes, and exact arithmetic without fractions. They avoid rounding errors inherent to floating-point.

Category: Practice

What is integer overflow and why is it risky?

Overflow occurs when a value exceeds representable range, wrapping or saturating. It can cause logic errors and security vulnerabilities.

Category: Risks

How do languages handle large Integers?

Some use arbitrary-precision (e.g., Python int), while others require special libraries or BigInt types.

Category: Basics

What is two’s complement in Integers?

A representation for signed integers enabling simple arithmetic and bitwise operations with a single representation for zero.

Category: Concept

How do databases store Integer types?

They define fixed-width types (e.g., INT, BIGINT) with specific ranges and storage sizes.

Category: Basics

How does casting affect Integer precision?

Casting from float to int truncates fractional parts; casting between widths may overflow or sign-change if not handled.

Category: Mistakes

What are common Integer operations?

Arithmetic, modulo, bitwise operations, and comparisons are standard. Care with division semantics is needed across languages.

Category: Basics

How to avoid Integer overflow?

Use larger types, arbitrary-precision integers, or explicit checks. Static analysis and fuzz testing help detect issues.

Category: Practice

Are Natural Numbers a subset of Integers?

Yes. Natural numbers (definitions vary on including zero) are a subset of the integers.

Category: Concept