What is an advantage of using floating-point numbers?

• A. Exact representation of all real numbers.
• B. Wide dynamic range of representable values.
• C. No rounding errors.
• D. Faster than integer arithmetic in all cases.

Answer: (B)

Floating-point numbers are built to cover a huge range of magnitudes by using a mantissa and an exponent, which lets a fixed number of bits represent extremely small and extremely large values. That wide dynamic range is the key advantage, allowing you to work with values from near zero up to many powers of ten without needing enormous amounts of memory or special representations.

But there are trade-offs. Not every real number can be represented exactly in finite binary form, so many values are only approximated, which means rounding errors can occur. A common example is decimal fractions like 0.1 that do not have an exact binary representation, so they’re stored as the closest approximation.

Speed is another consideration: floating-point arithmetic isn’t always faster than integer arithmetic; on some operations and platforms, integers can be quicker. The main, reliable advantage of floating-point numbers remains their wide representable range.