1. Convert Decimal to Floating point number [IEEE 754]

2. Try to do the conversion in 3 steps, lets continue with an example: F
Try to do the conversion in 3 steps, lets continue with an example:
Step 1 : Convert 13 to binary (13)decimal (1101)binary
Step 2:  X 2 = 0.375
0.375 X 2 = 0.75
0.75 X 2 = 1.5
0.5 X 2 = 1.0
We reached 0, so we stopped
Top-Down = 0011 1 1

3. We should reach to this condition : (+/-) 1.F X 𝟐 (𝐄−𝟏𝟐𝟕)
we move the decimal point to the left to make it like 1.F so the result will be:
= 1.F so F =
We moved the decimal point 3 to the left so 𝟐 𝟑 = 𝟐 (𝐄−𝟏𝟐𝟕)  E-127=3 SO E= (130)decimal
E=( )binary
We add these 0s to right to make it 23 bits
0 for positive number
1 for negative number
Fortunately it is 8 bits, but if it is less, you have to add 0s to the left