Floating Point and Normalisation

What is the primary feature of fixed point representation?

• Flexible allocation of bits for the whole and fractional part
• Fixed binary point location
• Variable number base
• Only positive values can be represented

In floating point representation, which components are allocated bits?

• Only the number base
• Mantissa and exponent
• Binary point and exponent
• Mantissa and binary point

How is the binary point in floating point representation determined?

• It is set according to system architecture
• It is always at the end of the number
• It is immediately after the first bit
• It varies based on the number's magnitude

What representation is used for both the mantissa and exponent in floating point numbers?

• One's complement
• Floating point
• Two's complement
• Variable point

What does the two's complement exponent allow in floating point representation?

• Only positive exponents
• Both positive and negative exponents
• Only negative exponents
• Exponents in hexadecimal form

What does a positive exponent do to the binary point in floating point representation?

• Moves it to the left
• Moves it to the right
• Doesn't affect the binary point
• Changes the number base

What does a normalised version of a fractional number provide?

• A variable representation
• Maximum possible precision
• A non-unique representation
• Better for very large numbers

In a normalised positive fractional number, what does it start as?

• 0.0
• 0.1
• 1.0
• 1.1

In a normalised negative fractional number, what does it start as?

• 0.0
• 0.1
• 1.0
• 1.1

What is the process to normalise a floating point binary number?

• Divide the number by 2
• Multiply the number by 2
• Shift the binary point and adjust the exponent
• Convert to decimal