multiplication of binary numbers

rina j. kadam

rina j. kadam

@rina-j-kadam-nUN9Iv • Oct 21, 2024
when we are multiplying two sign or unsign numbers in decimal as well as binary numbers then we can perform multiplication of decimal numbers easily but how does the binary numbers are multiplied?
plz reply soon.
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  • Abhishek Rawal

    Abhishek Rawal

    @abhishek-fg9tRh • Feb 25, 2013

    How binary numbers are multiplied ?
    It's pretty simple
    Check this image :
    2013-02-25 21.23.21

    Two 4-bit binary numbers are multiplied here :
    A containing A0,A1,A2 & A3
    B containing B0,B1,B2 & B3

    Now I guess from image you got the idea that
    - First A3,A2,A1 & A0 is multiplied by B0
    - In second step, one space left is shifted & then A3,A2,A1 & A0 multiplied with B1
    - In third step, one more space to left is shifted addition to above (i.e. 2 space now) & A3,A2,A1 & A0 multiply with B2
    - Do same with B3.
    - Add it all & get the answer.

    Binary multiplication rules :
    0x0=0
    0x1=0
    1x0=0
    1x1=1

    Note : I guess from the image you can get the idea. 😀
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