Question

Difference between truncation error and round off error

Answer 1

Myth: Error caused by chopping a number is called truncation error. Round off error is the error caused by approximate representation of numbers. ... If a computer is chopping off as opposed to rounding the last digit, the error caused is still called the round off error (caused by chopping).

Answer 2

Answer:

• Truncation Error:is the error made by truncating an infinite sum and approximating it by a finite sum. For instance, if we approximate the sine function by the first two non-zero term of its Taylor series,the resulting error is a truncation error.
• Round off error:also called rounding error,[2] is the difference between the result produced by a given algorithm using exact arithmetic and the result produced by the same algorithm using finite-precision, rounded arithmetic.