Higher Computing Science - Floating Point

Select the three components of a floating point number

• Mantissa

• Exponent

• Sign bit

• Accuracy bit

Which of the following combinations correctly represent 0.0 using floating-point? (There is an 8 bit mantissa and 8 bit exponent)

• 0 000 0000 and 0000 0000

• 1 000 0000 and 0000 0000

• 0 000 0000 and 0000 0001

• 1 000 0000 and 0000 0001

Which of the following combinations correctly represent 0.5 using floating-point? (There is an 8 bit mantissa and 8 bit exponent)

• 0 000 0001 and 0000 0001

• 0 000 0001 and 0000 0000

• 0 100 0000 and 0000 0001

• 0 100 0000 and 0000 0000

Which of the following combinations correctly represent 1 using floating-point? (There is an 8 bit mantissa and 8 bit exponent)

• 0 000 0001 and 0000 0001

• 1 000 0001 and 0000 0000

• 0 100 0000 and 0000 0001

• 0 100 0000 and 0000 0000

Which of the following combinations correctly represent 1.5 using floating-point? (There is an 8 bit mantissa and 8 bit exponent)

• 0 000 0011 and 0000 0001

• 0 110 0000 and 0000 0001

• 1 100 0000 and 0000 0001

• 0 110 0000 and 0000 0000

Which of the following combinations correctly represent 3 using floating-point? (There is an 8 bit mantissa and 8 bit exponent)

• 0 000 0011 and 0000 0010

• 0 110 0000 and 0000 0001

• 0 110 0000 and 0000 0000

• 0 110 0000 and 0000 0010

Which of the following combinations correctly represent 0.75 using floating-point? (There is an 8 bit mantissa and 8 bit exponent)

• 0 000 0011 and 0000 0010

• 0 110 0000 and 0000 0001

• 0 110 0000 and 0000 0000

• 0 110 0000 and 0000 0010

Which of the following combinations correctly represent 4.25 using floating-point? (There is an 8 bit mantissa and 8 bit exponent)

• 0 100 1000 and 0000 0011

• 0 100 0100 and 0000 0011

• 0 100 1000 and 0000 0100

• 0 100 0100 and 0000 0100

Which of the following combinations correctly represent 7.125 using floating-point? (There is an 8 bit mantissa and 8 bit exponent)

• 0 111 0010 and 0000 0011

• 1 110 0100 and 0000 0011

• 0 111 0010 and 0000 0010

• 0 111 0010 and 0000 0101

Have these questions helped you improve your confidence and understanding of floating point representation?

• Yes - a lot

• Yes - a little

• No