Represent number 101101111011111111111101 times 2degree in a

Represent number- 101101.111011111111111101 times 2degree in a single precision IEEE 754 format (S, E, F), specify bit numbers for the fields. 2. Perform addition and multiplication of two packed (to the format) floating point numbers below and pack the result back to the format. 0 11001000 01101 1 00001001 10101 *Please note, that LSB bits of fractions not shown in the format are all 0. They will not be included into your calculations for simplicity, but generally the operation is performed on 23- bit mantissas. This is applied also to all examples in the lecture notes. 3.Represent 10000.11111111111111110110011 in the single precision IEEE 754 floating point number format use g,r,s bits to round up (+infinity) the mantissa.

Solution

2. given 0 11001000 01101

1 00001001 10101

the addition is 1 11010010 00010

the multiplication is 1 11111111 00001