As we know, negative numbers are normally stored in twos-complement form. Define the Xilinx n-bit fixed point format of the following binary number which is expressed in twos complement form, and compute the equivalent signed decimal number.

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Accepted Answer

This binary word is in twos complement form and thus represents a negative (signed) binary number. It is 12 bits long, 5 of which are fractional. Therefore,

Format =

Its true form is found by taking the twos complement. Thus, in true form

Its decimal equivalent is

[latex]2^4+2^3+2^2+2^{-1}+2^{-3}+2^{-5}=16+8+4+\frac{1}{2}+\frac{1}{8}+\frac{1}{32}=28.65625[/latex]

and since this is a negative number, its decimal value is –28.65625 .

Question 11.EX.4: As we know, negative numbers are normally stored in twos-com...

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