This is based on the official Major League Baseball rules, available at http://mlb.mlb.com/mlb/official_info/official_rules/foreword.jsp
1) A batter is awarded first base for receiving 4 balls.
2) A number of infractions by the pitcher can result in a ball being awarded to the batter. If this is ball 4, the batter is awarded first base. Rules 8.01 and 8.02 list illegal actions by the pitcher, including bringing his hand to his mouth and defacing the ball.
3) A ball hit into play allows the runner to advance to first base on a hit.
4) A ball hit into play allows the runner to advance to first base on an error.
5) If the batter or his clothing or equipment is hit by a pitch, and he made an effort to avoid the pitch and did not swing at it, he is awarded first base.
6) Interference by the catcher can result in the batter being awarded first base. For example, squatting too close to the batters box and interfering with the batter's swing is catcher interference.
7) Interference by a spectator can result in the batter being awarded first base if the umpires believe that the batter would have reached first base without the interference.
8) On a dropped third strike, the batter-runner may advance to first base.
9) If a pitched ball lodges in the umpire’s or catcher’s mask or paraphernalia, and remains out of play, on the third strike or fourth ball, then the batter is entitled to first base and all runners advance one base. From rule 5.09.
10) A particular park may have ground rules that grant a batter a single if the ball is hit in a certain place.
11) In some situations a player may reach first base as a substitute for another play who was injured. Rule 5.10.
12-23) ...
5
1
The question is ambiguous. Does it mean what is 23 (base 10) when converted to base 5 2310 = 435 or what, in base 10, is 23 in base 5 235 = 1310
Expressed in base 2, 23 is equal to 10111.
steal Hit batter double balk walk walk then run to second
log base 2 of [x/(x - 23)]
There are several ways to reach first base, but the 5 ways to be awarded first base, without putting the ball into play: 1. Hit-by-pitch 2. Base on Balls 3. Intentional Walk 4. Dropped 3rd strike 5. Catcher interference (hitting catchers glove while swinging)
The decimal equivalent of 32 - 23 is 14 - 11. This is equal to 3 in both base 4 and decimal.
1105
The distance of 90 feet (between home and first) is the distance of the middle of the plate and the middle of first base.
1) Hit 2) Walk 3) Hit by pitch 4) Defensive Error
In baseball there are many ways in which a triple play can be performed. If bases are loaded and the third baseman stops a ground ball, tags his base, throws the ball to second base, and the second baseman throws the ball to first base, that would be one example of a triple play.