Single Precision Quiz

What is the binary representation of the decimal number 10 in single precision?

• 1100

• 1010

• 1001

• 1111

Convert the binary number 11011011 to its decimal equivalent in single precision.

• 11110000

• 219

• 11011011

• 10101010

Explain the process of converting a decimal number to its single precision binary representation.

• Combine the sign and exponent only

• Convert the decimal number to hexadecimal

• Skip the normalization step

• Follow the steps: 1. Convert the decimal number to binary. 2. Normalize the binary number. 3. Determine the sign, exponent, and mantissa. 4. Combine the sign, exponent, and mantissa to form the single precision binary representation.

What is the floating point format used in single precision?

• 16 bits

• 64 bits

• 8 bits

• 32 bits

How is a floating point number represented in single precision?

• By using 32 bits, with 1 bit for the sign, 11 bits for the exponent, and 20 bits for the fraction.

• By using 32 bits, with 1 bit for the sign, 8 bits for the exponent, and 23 bits for the fraction.

• By using 64 bits, with 1 bit for the sign, 11 bits for the exponent, and 52 bits for the fraction.

• By using 16 bits, with 1 bit for the sign, 5 bits for the exponent, and 10 bits for the fraction.

Discuss the advantages of using floating point format in single precision.

• Faster computation and requires less memory

• Less accurate results and more prone to errors

• No impact on computation speed or memory usage

• Slower computation and requires more memory

What is the IEEE 754 standard and how does it relate to single precision?

• It is a standard for representing decimal numbers using 8 bits

• It is a standard for representing integers using 64 bits

• It is a standard for floating-point arithmetic and defines the format for representing floating-point numbers using 32 bits.

• It is a standard for representing characters using 16 bits

Explain the significance of normalized numbers in single precision.

• Normalized numbers in single precision are important for representing a wide range of values with a reasonable level of precision.

• Normalized numbers in single precision are only used for integers

• Normalized numbers in single precision are only used for very small values

• Normalized numbers in single precision have no significance

How are normalized numbers different from denormalized numbers in single precision?

• Normalized numbers have an implicit leading 0 in the binary representation.

• Denormalized numbers have an implicit leading 1 in the binary representation.

• Normalized numbers have an implicit leading 1 in the binary representation.

• Normalized numbers have a larger exponent value compared to denormalized numbers.

Discuss the impact of normalized numbers on precision and accuracy in single precision.

• Negative impact on precision but positive impact on accuracy

• Reduced precision and accuracy

• Increased precision and accuracy

• No impact on precision and accuracy