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Questions and Answers
What is the consequence of not all numbers being able to be represented exactly in a computer?
What is the consequence of not all numbers being able to be represented exactly in a computer?
- The computer crashes
- The computer slows down
- Numbers become larger
- Arithmetic mistakes occur (correct)
How is the information in a single-precision PC built?
How is the information in a single-precision PC built?
- Vectors of 64 bits
- Vectors of 128 bits
- Vectors of 32 bits (correct)
- Vectors of 16 bits
What is the representation of real numbers in a computer called?
What is the representation of real numbers in a computer called?
- Integer point
- Fixed point
- Rational point
- Floating point (correct)
What limited bits are assigned for in the representation of real numbers in a computer?
What limited bits are assigned for in the representation of real numbers in a computer?
In which base are the real numbers represented in a computer?
In which base are the real numbers represented in a computer?
What situation may occur when working with a PC, where 1+ϵ=1 and ϵ ̸= 0?
What situation may occur when working with a PC, where 1+ϵ=1 and ϵ ̸= 0?
In a 64-bit architecture, how many bits are dedicated to the mantissa?
In a 64-bit architecture, how many bits are dedicated to the mantissa?
What is the machine precision in a 64-bit setting?
What is the machine precision in a 64-bit setting?
What situation arises when a representable number is smaller than the smallest representable number?
What situation arises when a representable number is smaller than the smallest representable number?
What type of error can be measured by computing the difference between the approximation and the actual value?
What type of error can be measured by computing the difference between the approximation and the actual value?
In the context of computer arithmetic, which situation refers to small changes in data leading to large changes in the solution?
In the context of computer arithmetic, which situation refers to small changes in data leading to large changes in the solution?
What is the largest representable number in a 64-bit architecture?
What is the largest representable number in a 64-bit architecture?
What does the machine precision imply about the significance of digits beyond the 16th digit?
What does the machine precision imply about the significance of digits beyond the 16th digit?
What results from an overflow in floating point arithmetic?
What results from an overflow in floating point arithmetic?
Which concept refers to the situation where rounding errors are not just propagated, but also amplified by an algorithm?
Which concept refers to the situation where rounding errors are not just propagated, but also amplified by an algorithm?
What does it mean if a problem is described as ill-conditioned?
What does it mean if a problem is described as ill-conditioned?
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