81. (H446) SLR13 – 1.4 Floating point binary part 3

What is the primary reason for using floating point binary representation?

• To increase the storage capacity of computers

• To enhance the precision and range of numbers that can be stored

• To reduce the size of binary numbers

• To simplify the arithmetic operations on binary numbers

What does the mantissa represent in a floating point binary number?

• The sign of the number

• The actual number value

• The exponent value

• The position of the binary point

How is the binary point positioned in normalized floating point numbers?

• At the end of the mantissa

• Between the first two digits of the mantissa

• Always to the left of the mantissa

• Based on the value of the exponent

What is the significance of the most significant bit in two's complement representation?

• It represents the magnitude of the number

• It signifies the sign of the number

• It determines the precision of the number

• It indicates the exponent value

What does a positive exponent indicate in floating point binary representation?

• The binary point moves to the right

• The mantissa is negative

• The number is negative

• The binary point moves to the left

What is the result of normalizing the number 3.5 in floating point binary?

• 0.1101

• 1.0110

• 0.01101

• 011.101

Why might a number like 6.75 not be accurately stored in an 8-bit normalized floating point binary format?

• Due to insufficient bits for the mantissa

• Floating point binary cannot represent fractions

• Because it requires a negative exponent

• The number is too large for 8 bits

What is the purpose of normalizing floating point binary numbers?

• To increase the range of numbers that can be represented

• To decrease the computational complexity

• To reduce the number of bits required

• To ensure there is only one representation for each number

What does an exponent of -1 indicate when converting a floating point binary number back to base 10?

• Move the binary point one place to the right

• Move the binary point one place to the left

• The number is positive

• The number is negative

How are zeros handled in the representation of floating point binary numbers?

• They are always placed at the end

• They can be backfilled if the number is positive

• They are ignored in the calculation

• They indicate an error in calculation