Fully Parallel Three-Bit Adder

c0 = x0y0 (4.30)

s0 = x0 ? y0

c1 = x1y1c0’+x1y1c0+x1y1’c0+x1’y1c0

= x1y1+(x1?y1)c0

= x1y1+(x1?y1)(x0y0) (4.31)

s1 = x1?y1?c0

= x1?y1? x0y0

c2 = x2y2+(x2?y2)c1

= x2y2+(x2?y2)[x1y1+(x1?y1)(x0y0)]

= x2y2+(x2?y2)(x1y1)+(x2?y2)(x1?y1)(x0y0) (4.32)

s2 = x2?y2?c1

= x2?y2?[x1y1+(x1?y1)(x0y0)]

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