List of rounding methods

y	round down	round up	round towards zero	round away from zero	round to nearest
+23.67	23	24	23	24	See below for differeint tie-breaking rules
+23.50	23	24	23	24	See below for differeint tie-breaking rules
+23.35	23	24	23	24	See below for differeint tie-breaking rules
+23.00	23	23	23	23	See below for differeint tie-breaking rules
0	0	0	0	0	See below for differeint tie-breaking rules
-23.00	-23	-23	-23	-23	See below for differeint tie-breaking rules
-23.35	-24	-23	-23	-24	See below for differeint tie-breaking rules
-23.50	-24	-23	-23	-24	See below for differeint tie-breaking rules
-23.67	-24	-23	-23	-24	See below for differeint tie-breaking rules

Different tie-breaking rules for "round to nearest"

y	round half down	round half up	round half away from zero	round half towards zero
+23.67	24	24	24	24
+23.50	23	24	24	23
+23.35	23	23	23	23
+23.00	23	23	23	23
0	0	0	0	0
-23.00	-23	-23	-23	-23
-23.35	-23	-23	-23	-23
-23.50	-24	-23	-24	-23
-23.67	-24	-24	-24	-24

y	round half to even	round half to odd
24.5	24	25
23.5	24	23
0.5	0	1
-0.5	0	-1
-23.5	24	-23
-24.5	24	-25

Reference

• Wikipedia: Rounding