What are real numbers?
Q: What are real numbers?
A: Real numbers are any number that can be expressed as a decimal, including fractions and irrational numbers.
Q: How do computers store binary numbers?
A: Computers store binary numbers as binary integers, which are whole numbers that are powers of two.
Q: Is there a direct way for computers to represent non-integer numbers like decimals?
A: No, there is no direct way for computers to represent non-integer numbers like decimals because there is no radix point.
Q: What is the purpose of floating-point representation?
A: Floating-point representation allows computers to bypass the problem of not having a radix point by allowing the radix point to move higher or lower when multiplied by an exponent (power).
Q: What does "floating" refer to in floating-point representation?
A: The term "floating" refers to how the radix point can move higher or lower when multiplied by an exponent (power).
Q: How do you calculate an exponent (power)?
A: An exponent (power) is calculated by multiplying a base number by itself a certain number of times. For example, 2^3 = 8 because 2 x 2 x 2 = 8.
