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Ingy döt Net 2023-07-01 11:58:00 -04:00
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/*REXX program displays (all) the sums of a full 4─bit adder (with carry). */
call hdr1; call hdr2 /*note the order of headers & trailers.*/
/* [↓] traipse thru all possibilities.*/
do j=0 for 16
do m=0 for 4; a.m= bit(j, m)
end /*m*/
do k=0 for 16
do m=0 for 4; b.m= bit(k, m)
end /*m*/
sc= 4bitAdder(a., b.)
z= a.3 a.2 a.1 a.0 '~+~' b.3 b.2 b.1 b.0 "~=~" sc ',' s.3 s.2 s.1 s.0
say translate( space(z, 0), , '~') /*translate tildes (~) to blanks in Z. */
end /*k*/
end /*j*/
call hdr2; call hdr1 /*display two trailers (note the order)*/
exit 0 /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
bit: procedure; parse arg x,y; return substr( reverse( x2b( d2x(x) ) ), y+1, 1)
halfAdder: procedure expose c; parse arg x,y; c= x & y; return x && y
hdr1: say 'aaaa + bbbb = c, sum [c=carry]'; return
hdr2: say ' ' ; return
/*──────────────────────────────────────────────────────────────────────────────────────*/
fullAdder: procedure expose c; parse arg x,y,fc
#1= halfAdder(fc, x); c1= c
#2= halfAdder(#1, y); c= c | c1; return #2
/*──────────────────────────────────────────────────────────────────────────────────────*/
4bitAdder: procedure expose s. a. b.; carry.= 0
do j=0 for 4; n= j - 1
s.j= fullAdder(a.j, b.j, carry.n); carry.j= c
end /*j*/; return c