A2 CS - 13 Data Rep - 13.3 Floating Point Num, Rep and Manipulation

Candidates should be able to:

• Describe the format of binary floating-point real numbers

• Use two’s complement form. Understand of the effects of changing the allocation of bits to mantissa and exponent in a floating-point representation

• Convert binary floating-point real numbers into denary and vice versa

-Normalise floating-point numbers. Understand the reasons for normalisation

-Show understanding of the consequences of a binary representation only being an approximation to the real number it represents (in certain cases). Understand how underflow and overflow can occur

• Show understanding that binary representations can give rise to rounding errors