Python

What is the primary purpose of floating point representation in computing?

• To simplify arithmetic operations
• To store text data efficiently
• To encode real numbers for a wide range of values with precision
• To represent only whole numbers

Which of the following best describes the role of floating point representation in scientific calculations?

• It allows for precise representation of only small numbers.
• It is used to represent both very large and very small numbers.
• It simplifies complex calculations by rounding numbers.
• It eliminates the need for decimal points in calculations.

What is the formula for calculating the value of a floating point number?

• value = mantissa / (base × exponent)
• value = sign + mantissa × base
• value = sign × mantissa × base^exponent
• value = mantissa + exponent

Which component of a floating point number indicates whether the number is positive or negative?

• Exponent
• Mantissa
• Sign
• Base

In the context of floating point representation, what does the mantissa represent?

• The sign of the number
• The base of the number system
• The significant digits of the number
• The scale of the number

What is the most common base used in floating point representation in computing?

• Base 2 (binary)
• Base 16 (hexadecimal)
• Base 10 (decimal)
• Base 8 (octal)

How does the exponent in a floating point number affect its value?

• It represents the base of the number system
• It determines the sign of the number
• It scales the mantissa by moving the decimal point
• It indicates the precision of the number

Which standard defines the formats for single-precision and double-precision floating point numbers?

• W3C
• ANSI C
• IEEE 754
• ISO 9001

In a single-precision floating point number, how many bits are allocated for the mantissa?

• 23 bits
• 32 bits
• 16 bits
• 8 bits

What is the biased exponent for single-precision floating point numbers calculated from?

• Multiplying the actual exponent by 2
• Subtracting 127 from the actual exponent
• Adding 127 to the actual exponent
• Dividing the actual exponent by 2