AS / A Level Computer Science
A CS 13 Data Representation
A CS 13.3 Floating-point numbers, representation and manipulation
Candidates should be able to:
Describe the format of binary floating-point real
numbers
Convert binary floating-point real numbers into
denary and vice versa
Normalise floating-point numbers Show understanding of the consequences of a
binary representation only being an approximation
to the real number it represents (in certain cases)
Show understanding that binary representations
can give rise to rounding errors
Notes and guidance
Use two’s complement form
Understand of the effects of changing the allocation
of bits to mantissa and exponent in a floating-point
representation
Understand the reasons for normalisation
Understand how underflow and overflow can occur