Task: Balanced ternary
C: #include <stdio.h>
#include <string.h>

void reverse(char *p) {
    size_t len = strlen(p);
    char *r = p + len - 1;
    while (p < r) {
        *p ^= *r;
        *r ^= *p;
        *p++ ^= *r--;
    }
}

void to_bt(int n, char *b) {
    static char d[] = { '0', '+', '-' };
    static int v[] = { 0, 1, -1 };

    char *ptr = b;
    *ptr = 0;

    while (n) {
        int r = n % 3;
        if (r < 0) {
            r += 3;
        }

        *ptr = d[r];
        *(++ptr) = 0;

        n -= v[r];
        n /= 3;
    }

    reverse(b);
}

int from_bt(const char *a) {
    int n = 0;

    while (*a != '\0') {
        n *= 3;
        if (*a == '+') {
            n++;
        } else if (*a == '-') {
            n--;
        }
        a++;
    }

    return n;
}

char last_char(char *ptr) {
    char c;

    if (ptr == NULL || *ptr == '\0') {
        return '\0';
    }

    while (*ptr != '\0') {
        ptr++;
    }
    ptr--;

    c = *ptr;
    *ptr = 0;
    return c;
}

void add(const char *b1, const char *b2, char *out) {
    if (*b1 != '\0' && *b2 != '\0') {
        char c1[16];
        char c2[16];
        char ob1[16];
        char ob2[16];
        char d[3] = { 0, 0, 0 };
        char L1, L2;

        strcpy(c1, b1);
        strcpy(c2, b2);
        L1 = last_char(c1);
        L2 = last_char(c2);
        if (L2 < L1) {
            L2 ^= L1;
            L1 ^= L2;
            L2 ^= L1;
        }

        if (L1 == '-') {
            if (L2 == '0') {
                d[0] = '-';
            }
            if (L2 == '-') {
                d[0] = '+';
                d[1] = '-';
            }
        }
        if (L1 == '+') {
            if (L2 == '0') {
                d[0] = '+';
            }
            if (L2 == '-') {
                d[0] = '0';
            }
            if (L2 == '+') {
                d[0] = '-';
                d[1] = '+';
            }
        }
        if (L1 == '0') {
            if (L2 == '0') {
                d[0] = '0';
            }
        }

        add(c1, &d[1], ob1);
        add(ob1, c2, ob2);
        strcpy(out, ob2);

        d[1] = 0;
        strcat(out, d);
    } else if (*b1 != '\0') {
        strcpy(out, b1);
    } else if (*b2 != '\0') {
        strcpy(out, b2);
    } else {
        *out = '\0';
    }
}

void unary_minus(const char *b, char *out) {
    while (*b != '\0') {
        if (*b == '-') {
            *out++ = '+';
            b++;
        } else if (*b == '+') {
            *out++ = '-';
            b++;
        } else {
            *out++ = *b++;
        }
    }
    *out = '\0';
}

void subtract(const char *b1, const char *b2, char *out) {
    char buf[16];
    unary_minus(b2, buf);
    add(b1, buf, out);
}

void mult(const char *b1, const char *b2, char *out) {
    char r[16] = "0";
    char t[16];
    char c1[16];
    char c2[16];
    char *ptr = c2;

    strcpy(c1, b1);
    strcpy(c2, b2);

    reverse(c2);

    while (*ptr != '\0') {
        if (*ptr == '+') {
            add(r, c1, t);
            strcpy(r, t);
        }
        if (*ptr == '-') {
            subtract(r, c1, t);
            strcpy(r, t);
        }
        strcat(c1, "0");

        ptr++;
    }

    ptr = r;
    while (*ptr == '0') {
        ptr++;
    }
    strcpy(out, ptr);
}

int main() {
    const char *a = "+-0++0+";
    char b[16];
    const char *c = "+-++-";
    char t[16];
    char d[16];

    to_bt(-436, b);
    subtract(b, c, t);
    mult(a, t, d);

    printf("      a: %14s %10d\n", a, from_bt(a));
    printf("      b: %14s %10d\n", b, from_bt(b));
    printf("      c: %14s %10d\n", c, from_bt(c));
    printf("a*(b-c): %14s %10d\n", d, from_bt(d));

    return 0;
}

Java: 
public class BalancedTernary 
{
	public static void main(String[] args)
	{
 		BTernary a=new BTernary("+-0++0+");
		BTernary b=new BTernary(-436);
		BTernary c=new BTernary("+-++-");
		
		System.out.println("a="+a.intValue());
		System.out.println("b="+b.intValue());
		System.out.println("c="+c.intValue());
		System.out.println();
		
		
		BTernary result=a.mul(b.sub(c));
		
		System.out.println("result= "+result+" "+result.intValue());
	}
	
	
	public static class BTernary
	{
		String value;
		public BTernary(String s)
		{
			int i=0;
			while(s.charAt(i)=='0')
				i++;
			this.value=s.substring(i);
		}
		public BTernary(int v)
		{
			this.value="";
			this.value=convertToBT(v);
		}
		
		private String convertToBT(int v)
		{
			if(v<0)
				return flip(convertToBT(-v));
			if(v==0)
				return "";
			int rem=mod3(v);
			if(rem==0)
				return convertToBT(v/3)+"0";
			if(rem==1)
				return convertToBT(v/3)+"+";
			if(rem==2)
				return convertToBT((v+1)/3)+"-";
			return "You can't see me";
		}
		private String flip(String s)
		{
			String flip="";
			for(int i=0;i<s.length();i++)
			{
				if(s.charAt(i)=='+')
					flip+='-';
				else if(s.charAt(i)=='-')
					flip+='+';
				else
					flip+='0';
			}
			return flip;
		}
		private int mod3(int v)
		{
			if(v>0)
				return v%3;
			v=v%3;
			return (v+3)%3;
		}
		
		public int intValue()
		{
			int sum=0;
			String s=this.value;
			for(int i=0;i<s.length();i++)
			{
				char c=s.charAt(s.length()-i-1);
				int dig=0;
				if(c=='+')
					dig=1;
				else if(c=='-')
					dig=-1;
				sum+=dig*Math.pow(3, i);
			}
			return sum;
		}
		
		
		public BTernary add(BTernary that)
		{
			String a=this.value;
			String b=that.value;
			
			String longer=a.length()>b.length()?a:b;
			String shorter=a.length()>b.length()?b:a;
			
			while(shorter.length()<longer.length())
				shorter=0+shorter;
			
			a=longer;
			b=shorter;
			
			char carry='0';
			String sum="";
			for(int i=0;i<a.length();i++)
			{
				int place=a.length()-i-1;
				String digisum=addDigits(a.charAt(place),b.charAt(place),carry);
				if(digisum.length()!=1)
					carry=digisum.charAt(0);
				else
					carry='0';
				sum=digisum.charAt(digisum.length()-1)+sum;
			}
			sum=carry+sum;
			
			return new BTernary(sum);
		}
		private String addDigits(char a,char b,char carry)
		{
			String sum1=addDigits(a,b);
			String sum2=addDigits(sum1.charAt(sum1.length()-1),carry);
			
			if(sum1.length()==1)
				return sum2;
			if(sum2.length()==1)
				return sum1.charAt(0)+sum2;
			return sum1.charAt(0)+"";
		}
		private String addDigits(char a,char b)
		{
			String sum="";
			if(a=='0')
				sum=b+"";
			else if (b=='0')
				sum=a+"";
			else if(a=='+')
			{
				if(b=='+')
					sum="+-";
				else
					sum="0";
			}
			else
			{
				if(b=='+')
					sum="0";
				else
					sum="-+";
			}
			return sum;
		}
		
		public BTernary neg()
		{
			return new BTernary(flip(this.value));
		}
		
		public BTernary sub(BTernary that)
		{
			return this.add(that.neg());
		}
		
		public BTernary mul(BTernary that)
		{
			BTernary one=new BTernary(1);
			BTernary zero=new BTernary(0);
			BTernary mul=new BTernary(0);
			
			int flipflag=0;
			if(that.compareTo(zero)==-1)
			{
				that=that.neg();
				flipflag=1;
			}
			for(BTernary i=new BTernary(1);i.compareTo(that)<1;i=i.add(one))
				mul=mul.add(this);
			
			if(flipflag==1)
				mul=mul.neg();
			return mul;
		}
		
		public boolean equals(BTernary that)
		{
			return this.value.equals(that.value);
		}
		public int compareTo(BTernary that)
		{
			if(this.intValue()>that.intValue())
				return 1;
			else if(this.equals(that))
				return 0;
			 return -1;
		}
		
		public String toString()
		{
			return value;
		}
	}
}