The document discusses the IEEE 754 standard for floating point numbers. It explains that floating point numbers have three parts - sign, exponent, and mantissa. The sign indicates if the number is positive or negative. The exponent is derived using one of two formulas depending on if it is a single or double precision number. The mantissa is also derived from these formulas. It then provides examples of how to perform addition, subtraction, multiplication and division on floating point numbers by first equalizing the exponents and then performing the operation on the mantissas and renormalizing the result.

1. Prepared By:
S.Visnu Dharsini
Assistant Professor-CSE

2. IEEE 754

3.  It is not represented by
85.236
56620.856647783
 It is represented by
1.101101*2^6
0.001011011*2^9 Exponent
Both of this in
Normalized form

5.  Sign
 Exponent
 Mantissa
 Sign is
101110110First bit is the sign bit in Binary (0+ve) (1-ve)
 Exponent is derived from 2 formulas
 Mantissa is also derived from this 2 formulas
Single Precision Double Precision
(1.N)2E-
127
(1.N)2E-
1023
Comparison
should be
made to get
E
N is the Mantissa part

12.  Addition
 Subtraction
 Multiplication
 Division

13. Add (1.1100*24) + (1.100*22)
Sol:- Make the Exponent equal like
(1.1100*24) + (0.01100*24)
Now ADD the Digit
1.1100 *24
+ 0.0110 *24
10.0010 *24
Now Normalize the result like:
10.0010*24 0.100010 *26 (Ans)

14. Add (1.1100*24) + (1.100*22)
Sol:- Make the Exponent equal like
(1.1100*24) - (0.01100*24)
Now ADD the Digit
1.1100 *24
- 0.0110 *24
1.0110 *24
Now Normalize the result like:
1.0110*24 (Ans)