How to keep only 3 digits after the dot on a number?

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Hello
I have an array (1000x11) of binary numbers like this :
1 0 1 1 0 0 0 1 1 0 0
0 0 0 1 0 1 1 0 1 0 0
1 1 1 0 1 1 0 1 1 0 0
0 0 0 1 1 0 1 1 0 1 1
1 1 0 1 0 1 0 0 1 1 1
0 1 0 0 1 0 0 0 0 0 1
0 0 0 0 1 0 1 1 0 0 0
1 0 1 0 0 0 1 1 0 1 0
And I want to turn each row into a float decimal (x) with the last 10 binary digits as the numbers after the dots. I did this:
x = x(:, 1) + (x(:, 2:11) * 2.^(9:-1:0).') / 1000
but I got :
x = 1.8260
x =0.1110
x =1.9900
x =1.1640
x =0.3050
x = 0.6640
and I get the error 'Index exceeds matrix dimensions' so I have to take only the first 3 digits after the dot. How do I do that?
  3 个评论
James Tursa
James Tursa 2021-5-7
编辑:James Tursa 2021-5-7
What would help us is for you to give us a description of inputs and desired outputs, with some small examples. E.g.,
"I am starting with these binary digits 101101001 and I want to do calculations that turn it into the floating point number ___."
(you fill in this blank for us)
Nick
Nick 2021-5-7
编辑:Nick 2021-5-7
"I am starting with these binary digits 10110001100 and I want to do calculations that turn it into the floating point number 1.396 ."
Could you also please check the files I attached? Maybe the mistake is there

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回答(1 个)

Chunru
Chunru 2021-5-7
Try the following:
x = randi([0 1], 4, 11)
%x = x(:, 1) + (x(:, 2:11) * 2.^(9:-1:0).') / 1000 ; % May not accurate
x = x * 2.^(0:-1:-10)' % This is the binary value
  5 个评论
Jan
Jan 2021-5-8
Then a binary representation an in Chunru's answer is better than a pseudo decimal interpretation.
Chunru
Chunru 2021-5-11
When I said ""Not accurate", I meant the division by 1000 (rather 1024).

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