Can anyone help me to understand the concept of this code ( IEEE 754 REPRESENTATION

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Rajashree Annapillai 2018-8-9

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https://ww2.mathworks.cn/matlabcentral/answers/414154-can-anyone-help-me-to-understand-the-concept-of-this-code-ieee-754-representation

评论： Rajashree Annapillai 2018-8-12

clc
clear all
close all % Converting input of base 10
format long g
x=randi([1 50],1,1)
%Converting of mantissa (x_1) to between 1 and 2 of base-2 scientific notation
n_exponent=0;
x_1=x;
if abs(x)<1
while abs(x_1)<1
    n_exponent=n_exponent-1;
    x_1=x/(2.^n_exponent);
end
else
    while abs(x_1)>=2
n_exponent=n_exponent+1;
x_1=x/(2.^n_exponent);
    end
end
%Exponent to 8-bit binary (single precision 127)
exp_127=n_exponent+127;
bit8=0;
order=1;
for n=1:8
    bit8=rem(exp_127,2)*order+bit8;
    exp_127=fix(exp_127/2);
    order=order*10;
end
% Converting fraction to 23-bit mantissa (leading 1 hidden)
fraction=x_1-1;
bit23=0;
order1=1;
for n=1:23
    fraction=fraction*2;
    bit23=order1*fix(fraction)+bit23;
    fraction=rem(fraction,1);
    order1=order1*10;
end
%Determining sign of x
sign=0;
if x<0
    sign=1;
end
%Full IEEE 754 binary floating point
N=32;
len=length(sign)+length(num2str(bit8))+length(num2str(bit23))
fprintf('%d', [sign, fliplr(bit8), fliplr(bit23),zeros(1,N-len)])