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![s[0]s[1] s[2]s[3]s[4]](http://images.slideplayer.com./15/4842385/slides/slide_1.jpg "s[0]s[1] s[2]s[3]s[4]")
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00 01 10 11 s[0]s[1] s[2]s[3]s[4] 00 11 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11
![s[0]s[1] s[2]s[3]s[4]](http://images.slideplayer.com./15/4842385/slides/slide_2.jpg "s[0]s[1] s[2]s[3]s[4]")
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00 01 10 11 s[0]s[1] s[2]s[3]s[4] 00 11 00 01 10 11 00 11 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11
![s[0]s[1] s[2]s[3]s[4]](http://images.slideplayer.com./15/4842385/slides/slide_3.jpg "s[0]s[1] s[2]s[3]s[4]")
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00 01 10 11 s[0]s[1] 00 11 00 01 10 11 z[0], z[1]
![s[0]s[1] z[0], z[1]](http://images.slideplayer.com./15/4842385/slides/slide_4.jpg "s[0]s[1] z[0], z[1]")
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00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11 00 01 10 11 z[0], z[1]=0.9,0.8
![s[0]s[1] 00: z[0]+z[1] z[0], z[1]=0.9,0.8](http://images.slideplayer.com./15/4842385/slides/slide_5.jpg "s[0]s[1] 00: z[0]+z[1] z[0], z[1]=0.9,0.8")
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00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11 00 01 10 11 z[0], z[1]=0.9,0.8 1.7
![s[0]s[1] 00: z[0]+z[1] z[0], z[1]=0.9,](http://images.slideplayer.com./15/4842385/slides/slide_6.jpg "s[0]s[1] 00: z[0]+z[1] z[0], z[1]=0.9,")
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00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9,](http://images.slideplayer.com./15/4842385/slides/slide_7.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9,")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00 11 10 01 00 11 10 z[2], z[3]=-0.1,0.5
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1,0.5](http://images.slideplayer.com./15/4842385/slides/slide_8.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1,0.5")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00 11 01 10 z[2], z[3]=-0.1,0.5
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1,0.5](http://images.slideplayer.com./15/4842385/slides/slide_9.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1,0.5")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10 z[2], z[3]=-0.1,0.5
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] z[2], z[3]=-0.1,0.5](http://images.slideplayer.com./15/4842385/slides/slide_10.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] z[2], z[3]=-0.1,0.5")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10 z[2], z[3]=-0.1,0.5 2.1
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] z[2], z[3]=-0.1,](http://images.slideplayer.com./15/4842385/slides/slide_11.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] z[2], z[3]=-0.1,")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1,](http://images.slideplayer.com./15/4842385/slides/slide_12.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1,")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1,](http://images.slideplayer.com./15/4842385/slides/slide_13.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1,")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1,](http://images.slideplayer.com./15/4842385/slides/slide_14.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1,")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1,](http://images.slideplayer.com./15/4842385/slides/slide_15.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1,")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 11 10 00 01 10 11 z[4], z[5]=0.3,0.2 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]](http://images.slideplayer.com./15/4842385/slides/slide_16.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 11 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.1+.5=2.6 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, =2.6 s[3]](http://images.slideplayer.com./15/4842385/slides/slide_17.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, =2.6 s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 11 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.1+.5=2.6 -1.1-0.5=-1.6 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, = =-1.6 s[3]](http://images.slideplayer.com./15/4842385/slides/slide_18.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, = =-1.6 s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_19.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_20.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.3-0.1=1.2 -2.3+0.1=-2.2 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, = =-2.2 s[3]](http://images.slideplayer.com./15/4842385/slides/slide_21.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, = =-2.2 s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_22.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_23.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 2.1-.5=1.6 -1.1+.5=-0.6 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, = =-0.6 s[3]](http://images.slideplayer.com./15/4842385/slides/slide_24.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, = =-0.6 s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_25.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 -2.3-0.1=-2.4 1.3+0.1=1.4 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, = =1.4 s[3]](http://images.slideplayer.com./15/4842385/slides/slide_26.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, = =1.4 s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_27.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
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00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 01 10: -z[2]+z[3] z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 10 01 00 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_28.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] : -z[2]+z[3] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
29
00 01 10 11 00 01 10 11 s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] 00 01 10 11 z[0], z[1]=0.9,0.8 1.7 -1.7 00 01 10 11 s[2] 00: z[2]+z[3] 11 z[2], z[3]=-0.1,0.5 2.1 -1.1 1.3 -2.3 00 11 01 10 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]
![s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] 11 z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_29.jpg "s[0]s[1] 00: z[0]+z[1] 11: -z[0]-z[1] z[0], z[1]=0.9, s[2] 00: z[2]+z[3] 11 z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
30
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]](http://images.slideplayer.com./15/4842385/slides/slide_30.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]")
31
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]s[4] 00 11 10 01 00 11 10 00 01 10 11 z[6], z[7]=-2,-2 2.6-4=-1.4 1.2+4=-5.2
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2, = =-5.2](http://images.slideplayer.com./15/4842385/slides/slide_31.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2, = =-5.2")
32
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]s[4] 11 10 01 00 11 10 00 01 10 11 z[6], z[7]=-2,-2 5.2
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2,-2 5.2](http://images.slideplayer.com./15/4842385/slides/slide_32.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2,-2 5.2")
33
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]s[4] 11 10 01 00 11 10 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6+0=1.6 1.4+0=1.4
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2, = =1.4](http://images.slideplayer.com./15/4842385/slides/slide_33.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2, = =1.4")
34
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]s[4] 11 10 01 00 11 10 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2,](http://images.slideplayer.com./15/4842385/slides/slide_34.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2,")
35
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]s[4] 11 10 01 00 11 10 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 00 2.6+4=6.6 1.2+0=1.2
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2, = =1.2](http://images.slideplayer.com./15/4842385/slides/slide_35.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2, = =1.2")
36
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]s[4] 11 10 01 00 11 10 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 00 6.6
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2,](http://images.slideplayer.com./15/4842385/slides/slide_36.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2,")
37
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]s[4] 11 10 01 00 11 10 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 00 6.6 1.4+0=1.4 1.6+0=1.6
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2, = =1.6](http://images.slideplayer.com./15/4842385/slides/slide_37.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2, = =1.6")
38
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 2.6 1.2 1.6 1.4 s[3]s[4] 11 10 01 00 11 10 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 00 6.6 1.6
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2,](http://images.slideplayer.com./15/4842385/slides/slide_38.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3, s[3]s[4] z[6], z[7]=-2,")
39
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 s[3]s[4] 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 6.6 1.6
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2,](http://images.slideplayer.com./15/4842385/slides/slide_39.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2,")
40
00 Viterbi estimate of info bits: 0001 00 10 6.6 00 0 1
41
00 01 10 11 s[0]s[1] s[2]s[3]s[4] 00 11 00 01 10 11 00 11 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11
![s[0]s[1] s[2]s[3]s[4]](http://images.slideplayer.com./15/4842385/slides/slide_41.jpg "s[0]s[1] s[2]s[3]s[4]")
42
00 01 10 11 s[0]s[1] s[2]s[3]s[4] 00 11 00 01 10 11 00 11 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 S[5] s[6] Extend by two states
![s[0]s[1] s[2]s[3]s[4] S[5] s[6] Extend by two states](http://images.slideplayer.com./15/4842385/slides/slide_42.jpg "s[0]s[1] s[2]s[3]s[4] S[5] s[6] Extend by two states")
43
00 01 10 11 s[0]s[1] s[2]s[3]s[4] 00 11 00 01 10 11 00 11 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 11 10 00 01 10 11 00 11 00 11 00 01 10 11 S[5] s[6] With termination at 00
![s[0]s[1] s[2]s[3]s[4] S[5] s[6] With termination at 00](http://images.slideplayer.com./15/4842385/slides/slide_43.jpg "s[0]s[1] s[2]s[3]s[4] S[5] s[6] With termination at 00")
44
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 s[3]s[4] 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 6.6 1.6
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2,](http://images.slideplayer.com./15/4842385/slides/slide_44.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2,")
45
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 s[3]s[4] 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 6.6 1.6 s[5]s[6] 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 z[8], z[9]=-2,2z[10], z[11]=-1,-1
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2, s[5]s[6] z[8], z[9]=-2,2z[10], z[11]=-1,-1](http://images.slideplayer.com./15/4842385/slides/slide_45.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2, s[5]s[6] z[8], z[9]=-2,2z[10], z[11]=-1,-1")
46
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 s[3]s[4] 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 6.6 1.6 s[5]s[6] 00 11 10 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 z[8], z[9]=-2,2z[10], z[11]=-1,-1 5.2 10.6 5.6
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2, s[5]s[6] z[8], z[9]=-2,2z[10], z[11]=-1,](http://images.slideplayer.com./15/4842385/slides/slide_46.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2, s[5]s[6] z[8], z[9]=-2,2z[10], z[11]=-1,")
47
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 s[3]s[4] 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 6.6 1.6 s[5]s[6] 00 11 10 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 z[8], z[9]=-2,2z[10], z[11]=-1,-1 5.2 10.6 5.6 12.6
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2, s[5]s[6] z[8], z[9]=-2,2z[10], z[11]=-1,](http://images.slideplayer.com./15/4842385/slides/slide_47.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2, s[5]s[6] z[8], z[9]=-2,2z[10], z[11]=-1,")
48
00 s[0]s[1] 00 z[0], z[1]=0.9,0.8 00 10 s[2] z[2], z[3]=-0.1,0.5 00 01 10 11 z[4], z[5]=0.3,0.2 s[3]s[4] 00 01 10 11 z[6], z[7]=-2,-2 5.2 1.6 6.6 1.6 s[5]s[6] 00 11 10 01 10 00 01 10 11 10 01 00 11 10 00 01 10 11 z[8], z[9]=-2,2z[10], z[11]=-1,-1 5.2 10.6 5.6 12.6 Viterbi estimate (accounting for termination) of four info bits: 0001
![00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2, s[5]s[6] z[8], z[9]=-2,2z[10], z[11]=-1, Viterbi estimate (accounting for termination) of four info bits: 0001](http://images.slideplayer.com./15/4842385/slides/slide_48.jpg "00 s[0]s[1] 00 z[0], z[1]=0.9, s[2] z[2], z[3]=-0.1, z[4], z[5]=0.3,0.2 s[3]s[4] z[6], z[7]=-2, s[5]s[6] z[8], z[9]=-2,2z[10], z[11]=-1, Viterbi estimate (accounting for termination) of four info bits: 0001")
50
00 01 10 11 s[0]s[1] s[2]s[3]s[4] 00 11 00 01 10 11 00 11 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 01 s[5]s[6] 00 11 10 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11
![s[0]s[1] s[2]s[3]s[4] s[5]s[6]](http://images.slideplayer.com./15/4842385/slides/slide_50.jpg "s[0]s[1] s[2]s[3]s[4] s[5]s[6]")
51
00 01 10 11 Info bit sequence: 100… Codeword: 11 10 11 00 … Input weight=1 Output weight = 5 00 11 00 01 10 11 00 11 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 01 00 11 10 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11
52
00 01 10 11 00 11 00 01 10 11 00 11 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 01 00 11 10 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 Info bit sequence: 1100… Codeword: 11 01 01 11 00 … Input weight=2 Output weight = 6
53
00 01 10 11 s[0]s[1] s[2]s[3]s[4] 00 11 00 01 10 11 00 11 01 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 01 s[5]s[6] 00 11 10 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11
![s[0]s[1] s[2]s[3]s[4] s[5]s[6]](http://images.slideplayer.com./15/4842385/slides/slide_53.jpg "s[0]s[1] s[2]s[3]s[4] s[5]s[6]")
54
00 01 10 11 00 01 10 11 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 01 00 11 10 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 01 10 11 00 11 10 01 00 11 10 00 11 10 01 00 11 10 01
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