Given the right hint, I think most people with a high school education can solve this own their own. Every one knows 134 = 100x1 + 10x3 + 1x4
The key part most people miss, is that if you do something like this in Java
System.out.println('0'*1);//48
it will pick the decimal representation of character 0 in ascii chart and multiply it by 1.
In ascii table character 0 has a decimal representation of 48. So the above line will print 48. So if you do something like '1'-'0' That is same as 49-48. Since in ascii chart, characters 0-9 are continuous, so you can take any char from 0 to 9 and subtract 0 to get its integer value. Once you have the integer value for a character, then converting the whole string to int is straight forward.
Here is another one solution to the problem
String a = "-12512";
char[] chars = a.toCharArray();
boolean isNegative = (chars[0] == '-');
if (isNegative) {
chars[0] = '0';
}
int multiplier = 1;
int total = 0;
for (int i = chars.length - 1; i >= 0; i--) {
total = total + ((chars[i] - '0') * multiplier);
multiplier = multiplier * 10;
}
if (isNegative) {
total = total * -1;
}