If A= [1001] and B=[0101], what will be the value of the multiplication of A and B in MATLAB? I am new here. So, having trouble understanding

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Hasin 2024-1-26

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回答： Udit06 2024-2-12

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Stephen23 2024-1-26

编辑：Stephen23 2024-1-26

在 MATLAB Online 中打开

"what will be the value of the multiplication of A and B in MATLAB?"

A = [1001]
A = 1001
B = [0101]
B = 101
A*B
ans = 101101

But I suspect that you actually meant A and B to be vectors... perhaps:

A = [1,0,0,1]
A = 1×4
     1     0     0     1
B = [0,1,0,1]
B = 1×4
     0     1     0     1
A.*B % element-wise array multiplication
ans = 1×4
     0     0     0     1
A*B % matrix multiplication
Error using *
Incorrect dimensions for matrix multiplication. Check that the number of columns in the first matrix matches the number of rows in the second matrix. To operate on each element of the matrix individually, use TIMES (.*) for elementwise multiplication.

https://www.mathworks.com/help/matlab/matlab_prog/array-vs-matrix-operations.html

Rik 2024-1-26

在 MATLAB Online 中打开

Or perhaps a binary encoding was intended, in which case:

A=0b1001,B=0b0101
A = uint8
    9
B = uint8
    5
A*B
ans = uint8
    45

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Answer 1

Udit06 2024-2-12

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Hi Hasin,

The multiplication of two binary numbers A =

and B =

follows the shift and add method, similar to long multiplication of decimal numbers. Let's multiply them as you would on paper:

1 0 0 1 (A)

× 0 1 0 1 (B)

------------

1 0 0 1 (A * 1)

0 0 0 0 (A * 0, shifted one position to the left)

1 0 0 1 (A * 1, shifted two positions to the left)

+0 0 0 0 (A * 0, shifted three positions to the left)

------------

1 0 1 1 0 1 (Result)

------------

Hence, the resultant of multiplication of A and B comes out to be

which is equivant to 45 in decimal number system.

You can refer to bin2dec and dec2bin functions for interconversion between the two number systems.

https://www.mathworks.com/help/matlab/ref/bin2dec.html

https://www.mathworks.com/help/symbolic/sym.dec2bin.html

I hope it helps.

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