Binary Representation of Real Numbers Quiz Part 1

What are the two main ways to represent real numbers in binary?

• Fixed point and floating point

• Integer and fixed point

• Integer and floating point

• Decimal and hexadecimal

In fixed point representation, what does the position of the binary point within a register fix?

• The size of the whole number and the fractional parts

• The sign bit and the exponent

• The range and precision of the real numbers

• The number of bits available for the mantissa

What is the most common way of encoding real numbers in binary?

• Decimal representation

• Floating point representation

• Integer representation

• Fixed point representation

How many bits are used for the exponent in the IEEE 754 standard for single-precision floating-point numbers?

• 8 bits

• 32 bits

• 16 bits

• 64 bits

What is the biased exponent for a 32-bit single-precision real number in IEEE 754 format?

• 31

• 63

• 255

• 127

What is the final step in converting a real number into IEEE 754 standard single precision 32-bit floating-point format?

• Convert the denry value into pure binary

• Determine the biased exponent

• Pad out the mantissa with trailing zeros

• Remove the leading one from the mantissa

What is the benefit of using a biased exponent in the IEEE 754 standard?

• It allows for easy comparison of different exponent values

• It increases the precision of the real numbers

• It reduces the range of the real numbers

• It simplifies the processing of real numbers