2023-24 - Y12 - Data Types - Quiz 6

Convert the floating point binary number 01110101 0110 into denary.

• 56.5
• 58.5
• 54.25
• 60.5

Convert the floating point binary number 10001111 0100 into denary.

• -12.25
• -13.75
• -14.125
• -10.5

What is the advantage of using floating point numbers?

• Allows us to represent a much greater range of numbers
• Provides faster computation speed
• Reduces memory usage
• Ensures data security

What is the disadvantage of using floating point numbers?

• Improved computational efficiency
• Increased memory utilisation
• Enhanced numerical stability
• Loss of precision due to allocation of bits for the exponent

Why is normalisation of a floating-point binary number important?

• Facilitates faster arithmetic operations
• Reduces the size of the binary representation
• Enhances numerical stability by preventing precision loss
• Improves memory allocation by minimizing storage space

How can you recognise a normalized floating-point number?

• The leftmost digit is always 1
• The decimal point is at an odd position
• The binary representation begins with '01' for a positive mantissa or '10' for a negative mantissa
• No specific pattern in binary representation for sign

Convert the floating point binary number 00110110 0011 into normalised form.

• 11011000 0101
• 01101100 0010
• 10110110 0001
• 10011011 0110

Convert the floating point binary number 11110110 0110 into normalised form.

• 10110001 0010
• 10010110 0110
• 11101100 0001
• 10110000 0011

Convert the floating point binary number 00010101 1101 into normalised form.

• 01010100 1011
• 01101011 0100
• 00101011 1101
• 10100101 1110

Convert the floating point binary number 11011000 1101 into normalised form.

• 10110001 1001
• 11011001 0001
• 10110000 1100

• 10011010 1110