Shumëzimi i numrave binarë

Numrat Binare

y-bartja 2y- për shkak te numrave binare Psh. 3=1+2*1 dmth. bartja është 1, 3=z, kurse 1 është pozita (x).

${a_{2}a_{1}a_{0}}$

${b_{2}b_{1}b_{0}}$

${x_{4}x_{3}x_{2}x_{1}x_{0}}$

${_{0}=a_{0}b_{0}=z_{0}=x_{0}+2y_{1}}$

${_{1}=y_{1}+a_{1}b_{0}+a_{0}b_{1}=z_{1}=x_{1}+2y_{2}}$

${_{2}=y_{2}+a_{2}b_{0}+a_{1}b_{1}+a_{0}b_{2}=z_{2}=x_{2}+2y_{2}}$

${_{3}=y_{3}+a_{2}b_{1}+a_{1}b_{2}=z_{3}=x_{3}+2y_{4}}$

${_{4}=y_{4}+a_{2}b_{2}=z_{4}=x_{4}+2y_{5}}$

${_{5}=y_{5}}$

${a_{2}a_{1}a_{0}}$

${b_{2}b_{1}b_{0}}$

${c_{2}c_{1}c_{0}}$

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${x_{6}x_{5}x_{4}x_{3}x_{2}x_{1}x_{0}}$

${_{0}=a_{0}b_{0}c_{0}=z_{0}=x_{0}+2y_{1}}$

${_{1}=y_{1}+a_{1}b_{0}c_{0}+a_{0}b_{1}c_{0}+a_{0}b_{0}c_{1}=z_{1}=x_{1}+2y_{2}}$

${_{2}=y_{2}+a_{2}b_{0}c_{0}+a_{1}b_{1}c_{0}+a_{1}b_{0}c_{1}+a_{0}b_{2}c_{0}+a_{0}b_{1}c_{1}+a_{0}b_{0}c_{2}=z_{2}=x_{2}+2y_{2}}$

${_{3}=y_{3}+a_{2}b_{1}c_{0}+a_{2}b_{0}c_{1}+a_{1}b_{2}c_{0}+a_{1}b_{1}c_{1}+a_{1}b_{0}c_{2}+a_{0}b_{2}c_{1}+a_{0}b_{1}c_{2}=z_{3}=x_{3}+2y_{4}}$

${_{4}=y_{4}+a_{2}b_{2}c_{0}+a_{2}b_{1}c_{1}+a_{2}b_{0}c_{2}+a_{1}b_{2}c_{1}+a_{1}b_{1}c_{1}+a_{0}b_{2}c_{2}=z_{4}=x_{4}+2y_{5}}$

${_{5}=y_{5}+a_{2}b_{2}c_{1}+a_{2}b_{1}c_{2}+a_{1}b_{2}c_{2}=z_{5}=x_{5}+2y_{6}}$

${_{6}=y_{6}+a_{2}b_{2}c_{2}=z_{6}=x_{6}+2y_{7}}$

${_{7}=y_{7}}$

Sipas formules :

${a_{2}a_{1}a_{0}}$

${b_{2}b_{1}b_{0}}$

${c_{2}c_{1}c_{0}}$

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${x_{6}x_{5}x_{4}x_{3}x_{2}x_{1}x_{0}}$

${_{0}=a_{0}b_{0}c_{0}=z_{0}=x_{0}+2y_{1}}$

${_{1}=y_{1}+a_{1}b_{0}c_{0}+a_{0}b_{1}c_{0}+a_{0}b_{0}c_{1}=z_{1}=x_{1}+2y_{2}}$

${_{2}=y_{2}+a_{2}b_{0}c_{0}+a_{1}b_{1}c_{0}+a_{1}b_{0}c_{1}+a_{0}b_{2}c_{0}+a_{0}b_{1}c_{1}+a_{0}b_{0}c_{2}=z_{2}=x_{2}+2y_{2}}$

${_{3}=y_{3}+a_{2}b_{1}c_{0}+a_{2}b_{0}c_{1}+a_{1}b_{2}c_{0}+a_{1}b_{1}c_{1}+a_{1}b_{0}c_{2}+a_{0}b_{2}c_{1}+a_{0}b_{1}c_{2}=z_{3}=x_{3}+2y_{4}}$

${_{4}=y_{4}+a_{2}b_{2}c_{0}+a_{2}b_{1}c_{1}+a_{2}b_{0}c_{2}+a_{1}b_{2}c_{1}+a_{1}b_{1}c_{1}+a_{0}b_{2}c_{2}=z_{4}=x_{4}+2y_{5}}$

${_{5}=y_{5}+a_{2}b_{2}c_{1}+a_{2}b_{1}c_{2}+a_{1}b_{2}c_{2}=z_{5}=x_{5}+2y_{6}}$

${_{6}=y_{6}+a_{2}b_{2}c_{2}=z_{6}=x_{6}+2y_{7}}$

${_{7}=y_{7}}$

${1_{2}0_{1}1_{0}}$

${1_{2}1_{1}0_{0}}$

${1_{2}1_{1}1_{0}}$

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${1_{7}1_{6}0_{5}1_{4}0_{3}0_{2}1_{1}0_{0}}$

${_{0}=1*0*1=0=0+2*0}$

${_{1}=0+0*0*0+1*1*1+1*0*1=1=1+2*0}$

${_{2}=0+1*0*1+0*1*1+0*0*1+1*1*1+1*1*1+1*0*1=2=0+2*1}$

${_{3}=1+1*1*1+1*0*1+0*1*1+0*1*1+0*0*1+1*1*1+1*1*1=4=0+2*2}$

${_{4}=2+1*1*1+1*1*1+1*0*1+0*1*1+0*1*1+1*1*1=5=1+2*2}$

${_{5}=2+1*1*1+1*1*1+0*1*1=4=0+2*2}$

${_{6}=2+1*1*1=3=1+2*1}$

${_{7}=1}$