Consider the following floating point Representation
Mantissa is pure fraction in signed magnitude form . What is the representation of the binary number 1111.1111 $\times 2^{2} $ in hexadecimal without Normalization .
My Approach
bias = 64
$(-1)^{S} (1.M)_{2} \times 2^{\text{E-bias}}$ This is normalized Representation .
But here we are asked to find the Not Normalized Representation that means we need to store 1111.1111 $\times 2^{2} $ as such . But How can this be done ?
$1.1111111 \times 2^{5}$
Do I need to add bias when storing in Not Normalized form ?
- here bias is 64 (excess 64 representation) i.e Sign is 0 , Exponent will be 69 and Mantissa is 255 [ this is same as Normalized Representation]
OR Do Not need to add bias and store number as it is ?
- here , Sign is 0 , Exponent will be 5 , Mantissa will be 255
Please confirm which is the correct Representation give some links to online resources stating the correctness of the approach as well
