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Math Help - Please help check my working,thank you

  1. #1
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    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.
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  2. #2
    A Plied Mathematician
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    Your part b) looks correct to me. For part a), it looks good to me. Incidentally, before this post, I had no idea what IEEE754 was. I ended up finding this site. Evidently you're converting to unrounded numbers. So now you can check your own work, eh?
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  3. #3
    A Plied Mathematician
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    Hmm. That last comment didn't come across the way I intended it. I mean you can check conversions from IEEE754 to regular decimal representation and back using the online tool. I didn't mean that you can't use this forum to help you check your work. That's a lot of what this forum is for, after all!
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