Floating-point error arises because computers represent many real numbers with finite binary precision.
What Is Floating-Point Error?
Floating-point error arises because computers represent many real numbers with finite binary precision.
Examples of Floating-Point Error
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0.1 + 0.2 may not be stored exactly as 0.3 in binary floating point.Formula and Key Points
- Know the definition and standard notation for Floating-Point Error.
- Be able to recognise or compute floating-point error in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution. Important for writing reliable numerical software and understanding why real-number calculations can differ slightly.
Related Math Terms
Floating-Point Error: Frequently Asked Questions
What is Floating-Point Error?
Floating-point error arises because computers represent many real numbers with finite binary precision.
Why is Floating-Point Error useful in computer science?
Used when software must approximate roots, integrals, equations or other quantities that have no convenient exact solution. Important for writing reliable numerical software and understanding why real-number calculations can differ slightly.