Floating Point Representation Concepts

The session covers the representation of binary floating point numbers, the need for normalization, and the biasing technique for exponents. It explains explicit and implicit normalization methods and how values are stored in memory. The session concludes with a summary and a preview of the next session, which will discuss the advantages of different normalization processes.

What are the main topics covered in this session?

• Data structures, algorithms, and software engineering

• Decimal arithmetic, integer operations, and memory management

• Binary floating point representations, normalization, and biasing technique

• Networking, databases, and operating systems

How is the decimal number 5.625 represented in binary?

• 101 Radix 0.101

• 100 Radix 0.100

• 110 Radix 0.110

• 111 Radix 0.111

Why was the early method of storing floating point numbers considered impractical?

• It was too complex to implement

• It required too much memory

• It was difficult to understand

• It was not precise enough

What is the purpose of normalization in floating point representation?

• To increase the speed of computation

• To reduce memory usage

• To avoid confusion in representations

• To simplify the arithmetic operations

What are the two types of normalization?

• Explicit and implicit

• Direct and indirect

• Simple and complex

• Basic and advanced

Why is two's complement not suitable for representing exponents?

• It requires too much memory

• It does not represent values sequentially

• It is not precise enough

• It is too complex

How is the exponent represented using biasing technique?

• By adding a constant value to all exponents

• By using a lookup table

• By using two's complement

• By converting to decimal

In explicit normalization, where is the radix point moved?

• To the beginning of the number

• To the end of the number

• To the left of the most significant one

• To the right of the most significant one

What is the main difference between explicit and implicit normalization?

• The type of arithmetic operations

• The size of the mantissa

• The number of bits used

• The position of the radix point

How is the sign of a number represented in memory?

• Using a special flag

• Using a separate byte

• Using the last bit

• Using the first bit