Integer Division, Modulo and Numeric Limits in C++
C++ integer arithmetic depends on operand types, not the destination variable. Division between integer operands truncates toward zero.
Summary
C++ integer arithmetic depends on operand types, not the destination variable. Division between integer operands truncates toward zero. Assigning the result to a floating-point variable cannot restore the discarded fraction; convert an operand before division to obtain floating-point division.
For a nonzero divisor and a representable quotient, division and remainder satisfy . A nonzero remainder has the dividend's sign, and . Thus, and .
🧠 Key Concepts
- Truncation toward zero
- Operand types
- Remainder identity
- Remainder sign
- Signed overflow
- Unsigned wraparound
- Type-specific limits
- Division edge cases
🧠 Quick Check
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A C++ program assigns the result of dividing two integer operands to a floating-point variable. Which best describes how to preserve the fractional part?
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Integer Division, Modulo and Numeric Limits in C++
📘 Overview C++ integer division discards the fractional part by truncating toward zero, and % computes the corresponding remainder. Integer types have bounded ranges; exceeding those ranges produces different behavior for signed and unsigned arithmetic.
🧠 Key Idea Integer arithmetic depends on operand types, not the destination variable. Safe calculations require checking divisors, understanding remainder signs, and keeping intermediate results within the applicable type's range.
⚔️ Core Details: - Division with two integer operands truncates toward zero: and
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