Normalisation
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What is normalisation
A technique used to represent numbers as precise as possible
What is the precision in relation to when using normalisation
How many bits are being used
Converting denary to binary floating point numbers Step 1
Convert to a fixed point binary number in two’s complement
What is the exponent used for
To ensure that the floating point is place to optimise the precision of the number
Converting denary to binary floating point numbers Step 2
Move the binary point in order that you mantissa is normalised, keep a note of how many times you must move the binary point
Converting denary to binary floating point numbers Step 3
Convert your exponent to binary
Positive mantissa and positive exponent =
The denary value will be positive and greater than or equal to 1
Positive mantissa and negative exponent =
The denary value will be positive and less than 1
Negative mantissa and negative exponent =
The denary value will be negative and greater than or equal to 1
Negative mantissa and positive exponent =
The denary value will be negative and less than 1
Define underflow
When a number gets too small to represent it by the number of bits available to store it
Define overflow
When a number gets too large to represent it by the number of bits available to store it