Please help check my working,thank you

hi everyone,

need help to check my working for this questions,.really appreciate all your kind help & support.

**Represent the following numbers with the IEEE754 standard; -5, 9 and 0.23,2.5, 32.9**

-5=1.25x2^2 = 1100 0000 1010 0000 0000 0000 0000 0000=C0A00000

9 = 1.125X2^2=0100 0001 0001 0000 0000 0000 0000 0000=41100000

0.23=1.84X2^(-3)= 0011 1110 0110 1011 1000 0101 0001 1111 = 3E6B851E

2.5 = 1.25 x 2 = 0100 0000 0010 0000 0000 0000 0000 0000 = 40200000

32.9 = 1.028125 x 2^5 = 01000010 00000011 10011001 10011010 = 42039999

b) Is this Boolean simplification correct

F = {(X+Y)' . (Y+Z')' }'

Now From the De'Morgan Theorem : (A.B)' = A' +B'

We can write : F = {(X+Y)'}' + {(Y+Z')'}'

Now the Involution Theorem : (A')' =A

We can write : F = (X+Y) + (Y+Z')

F = X +Y +Y + Z'

=) F = X + Y + Z' ......{ From Idempotency : Y + Y =Y }

Thank you for your help & support.