Making a decimal output using three binary inputs

Hello
What tool should I use to make the following pattern in MATLAB?
If A=0, B=0, C=1, the output is equal to 1
If A=1, B=0, C=1, the output is equal to 2
If A=1, B=0, C=0, the output is equal to 3
If A=1, B=1, C=0, the output is equal to 4
If A=0, B=1, C=0, the output is equal to 5
If A=0, B=1, C=1, the output is equal to 6

1 个评论

That looks like a Gray-code: https://en.wikipedia.org/wiki/Gray_code
You should be asking about converting Gray-code. But just for fun:
A = cat(3,[0,5;3,4],[1,6;2,0]);
F = @(a,b,c)interpn(A,a+1,b+1,c+1,'nearest');
F(0,0,1)
ans = 1
F(1,0,1)
ans = 2
F(1,0,0)
ans = 3
F(1,1,0)
ans = 4
F(0,1,0)
ans = 5
F(0,1,1)
ans = 6

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 采纳的回答

If you have only 3 bits, so {A,B,C}, then one simple solution is to use a dictionary. Or you could just use a table lookup. For example...
ABC = {[0 0 1],[1 0 1],[1 0 0],[1 1 0],[0 1 0],[0 1 1]};
out = [1 2 3 4 5 6];
dict1 = dictionary(ABC,out)
dict1 =
dictionary (celldouble) with 6 entries: {[0 0 1]} ⟼ 1 {[1 0 1]} ⟼ 2 {[1 0 0]} ⟼ 3 {[1 1 0]} ⟼ 4 {[0 1 0]} ⟼ 5 {[0 1 1]} ⟼ 6
And now you can use it to lookup any value.
dict1({[1 1 0]})
ans = 4
But more likely, you will have some more length set of inputs. And since this appears to be a gray code of sorts, at least for the present time, you can use bin2gray and gray2bin.

更多回答(1 个)

do it as a function
a=0;
b=1;
c=1;
out=make_decision(a,b,c)
out = 6
function output=make_decision(A,B,C)
if A==0 && B==0 && C==1
output=1;
elseif A==1 && B==0 && C==1
output=2;
elseif A==1 && B==0 && C==0
output=3;
elseif A==1 && B==1 && C==0
output=4;
elseif A==0 && B==1 && C==0
output=5;
elseif A==0 && B==1 && C==1
output=6;
end
end

4 个评论

How to implement this code in Simulink?
Can it be implemented with logic circuit elements without coding?
During execution, the following error is displayed. What is the reason?
During execution, the following error is displayed. What is the reason?
Output argument 'output' is not assigned on some execution paths.
"Output argument 'output' is not assigned on some execution paths."
Because the output is not defined on all execution paths. Consider A=1, B=1, C=1, is the output defined? (hint: no).
Ergo, if you supply input combinations which do not define an output, then you will get an error.
Stephen is right. try this
a=1;
b=1;
c=1;
out=make_decision(a,b,c)
out = 0
function output=make_decision(A,B,C)
if A==0 && B==0 && C==1
output=1;
elseif A==1 && B==0 && C==1
output=2;
elseif A==1 && B==0 && C==0
output=3;
elseif A==1 && B==1 && C==0
output=4;
elseif A==0 && B==1 && C==0
output=5;
elseif A==0 && B==1 && C==1
output=6;
else
output=0;
end
end
If you want to execut it in simulink try it in a Matlab function block

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