2023-24 - Y12 - Data Types - Quiz 5

What is special about floating-point binary in computing?

• It's simpler to understand and use
• It's great for representing numbers with decimals
• It's the fastest way to do arithmetic operations
• It uses a flexible system for representing numbers

In a floating-point binary number, what does the sign bit tell us?

• Whether the number is positive or negative
• Where the decimal point is
• How big the number is
• If the number is a fraction or a whole number

Why do we use a mantissa in a floating-point binary number?

• To show the position of the decimal point
• To represent the sign of the number
• To hold the important digits of the number
• To indicate the size of the number

If we have an 8-bit mantissa and 4-bit exponent, what's the exponent range that is possible?

• 0...15
• -8...7
• -32...31
• -128...127

If a floating-point binary number has a positive mantissa and a positive exponent, what does it indicate about the number?

• The number is negative and it's a small one
• The number is negative and really large
• The number is positive and it's a small one
• The number is positive and really large

Convert the floating-point binary number 01011001 0011 to a denary number?

• -5.125
• 5.5
• -5.25
• 5.5625

If a floating-point binary number has a negative mantissa and a negative exponent, what does it indicate about the number?

• The number is negative and it's a small one
• The number is negative and really large
• The number is positive and it's a small one
• The number is positive and really large

Convert the floating-point binary number 11000000 1110 to a denary number?

• -0.5
• -0.125
• -0.75
• -1

Convert the floating-point binary number 10101100 0100 to a denary number?

• -16
• -12.5
• -10.5
• -8.25

Convert the floating-point binary number 01100000 1111 to a denary number?

• 0.375
• 0.25
• 0.5
• 0.0625