Rewrite the equations on page B$-734$ for a carry$-$lookahead logic for a $16-$bit

adder using a new notation. First use the names for the CarryIn signals of the

individual bits of the adder. That is$,$ use c$4,$ c$8,$ c$12,...$ instead of C$1,$ C$2,$ C$3,...$

Also, let Pi$,$j mean a propagate signal for bits i to j$,$ and Gi$,$j mean a generate

signal for bits i to j$.$ For example, the equation

C$2=$ G$1+($P$1$ G$0)+($P$1$ P$0$ c$0)$

can be rewritten as

c$8=$ G$7,4+($P$7,4$ G$3,0)+($P$7,4$ P$3,0$ c$0)$

This more general notation is useful in creating wider adders.