This is what I did, it should work:
#!/bin/bash DATE=$1 REGEX="^(..)(..?)(.)$" [[ $DATE =~ $REGEX ]] YEAR=$(( ${BASH_REMATCH[1]} + 1999 )) WEEK=$(( ${BASH_REMATCH[2]} - 1)) DAYOFWEEK=$(( ${BASH_REMATCH[3]} - 1)) OFFSET=$(( 6 - $(date -d "$YEAR-07-01" +%u) )) DATEOFFIRSTSATURDAY=$(date -d "$YEAR-7-01 $OFFSET days" +%d) FINALDATE=`date -d "$YEAR-07-$DATEOFFIRSTSATURDAY $WEEK weeks $DAYOFWEEK days"` echo $FINALDATE
It worked for the two dates given above… If you want to customize the date output, add a format string at the end of the FINALDATe assignment.