Exemplo n.º 1
0
        private int FindPower(IEEE754 number)
        {
            //calculate POWER
            double power = 0;

            for (int i = number.Exponent.Length - 1; i >= 0; i--)
            {
                power += number.Exponent[i] == 1 ? Math.Pow(2f, number.Exponent.Length - 1 - i) : 0;
            }
            return((int)power);
        }
Exemplo n.º 2
0
        static void Main(string[] args)
        {
            IEEE754 first = new IEEE754("-20");

            Console.WriteLine("-20 {0}", first.ToString());
            IEEE754 second = new IEEE754("145");

            Console.WriteLine("145 {0}", second.ToString());

            IEEE754 result = new IEEE754("125");

            Console.WriteLine("125 {0}", result.ToString());
            Console.WriteLine("START ADDITION");
            first.Add(first, second);

            Console.WriteLine("================================================");

            first = new IEEE754("50");
            Console.WriteLine("50 {0}", first.ToString());
            second = new IEEE754("73");
            Console.WriteLine("73 {0}", second.ToString());

            result = new IEEE754("123");
            Console.WriteLine("123 {0}", result.ToString());
            Console.WriteLine("START ADDITION");
            first.Add(first, second);

            Console.WriteLine("================================================");


            BinaryHelper helper = new BinaryHelper();

            Console.WriteLine("Division as is:");

            int firstNumber  = int.Parse(Console.ReadLine());
            int secondNumber = int.Parse(Console.ReadLine());
            var res          = helper.Devision(firstNumber, secondNumber);

            Console.WriteLine("Multiplication shift right");

            firstNumber  = int.Parse(Console.ReadLine());
            secondNumber = int.Parse(Console.ReadLine());
            res          = helper.Multiply(helper.ConvertToBinary(firstNumber), helper.ConvertToBinary(secondNumber));


            string asss = helper.ToScreen(res);

            Console.WriteLine($"Binary format (help code) {asss}");
            Console.ReadKey();
        }
Exemplo n.º 3
0
        public IEEE754 Add(IEEE754 first, IEEE754 second)
        {
            var result = new IEEE754();

            //first power

            int firstPower  = FindPower(first);
            int secondPower = FindPower(second);

            Console.WriteLine($"First Power  { firstPower.ToString()}");
            Console.WriteLine($"Second Power  { secondPower.ToString()}");



            //abs (a) > abs (b)
            int diff = 0;

            if (firstPower >= secondPower)
            {
                diff = firstPower - secondPower;
                Console.WriteLine($"Abs(A) > Abs(B)");
            }
            else
            {
                Console.WriteLine($"Abs(A) < Abs(B) , swapping");

                //swapping
                IEEE754 temp = new IEEE754();
                temp.Exponent   = first.Exponent;
                temp.Sign       = first.Sign;
                temp.Normalized = first.Normalized;
                temp.Fraction   = first.Fraction;


                first.Exponent   = second.Exponent;
                first.Sign       = second.Sign;
                first.Normalized = second.Normalized;
                first.Fraction   = second.Fraction;

                second.Exponent   = temp.Exponent;
                second.Sign       = temp.Sign;
                second.Normalized = temp.Normalized;
                second.Fraction   = temp.Fraction;

                int tmp = secondPower;
                secondPower = firstPower;
                firstPower  = tmp;
                diff        = firstPower - secondPower;
            }
            Console.WriteLine($"Diff Power  {diff.ToString()}");


            int resultPower = firstPower;

            result.Exponent = first.Exponent;


            //shift left mantisa of x2

            for (int i = 0; i < diff; i++)
            {
                if (i == 0)
                {
                    //shift with normalized bit.
                    second.Fraction   = ShiftWithNormalized(second.Fraction);
                    second.Normalized = 0;
                }
                else
                {
                    second.Fraction = Shift(second.Fraction);
                }
            }
            Console.WriteLine($"Shifted Mantisa of Second  {second.ToString()}");

            if (first.Sign == second.Sign)
            {
                Console.WriteLine("Signs are equal");
                //add


                //diff
                int[] extFrFirst = new int[24];
                for (int i = 0; i < first.Fraction.Length; i++)
                {
                    extFrFirst[i + 1] = first.Fraction[i];
                }
                extFrFirst[0] = first.Normalized;

                int[] extFrSecond = new int[24];
                for (int i = 0; i < second.Fraction.Length; i++)
                {
                    extFrSecond[i + 1] = second.Fraction[i];
                }
                extFrSecond[0] = second.Normalized;
                var res = Add(extFrFirst, extFrSecond);

                int tmp = res.Item2;



                if (tmp == 1)
                {
                    result.Fraction = res.Item1;
                    Console.WriteLine($"Unnormalized  {result.ToString()}");

                    int[] extFr = Shift(res.Item1);

                    result.Fraction   = new int[23];
                    result.Normalized = 1;
                    for (int i = 1; i < extFr.Length; i++)
                    {
                        result.Fraction[i - 1] = extFr[i];
                    }

                    firstPower     += 1;
                    result.Exponent = Add(result.Exponent, new int[8] {
                        0, 0, 0, 0, 0, 0, 0, 1
                    }).Item1;
                }
                else
                {
                    result.Fraction   = new int[23];
                    result.Normalized = res.Item1[0];
                    for (int i = 1; i < res.Item1.Length; i++)
                    {
                        result.Fraction[i - 1] = res.Item1[i];
                    }
                }
            }
            else
            {
                Console.WriteLine("Signs aren't equal");

                //diff
                int[] extFrFirst = new int[24];
                for (int i = 0; i < first.Fraction.Length; i++)
                {
                    extFrFirst[i + 1] = first.Fraction[i];
                }
                extFrFirst[0] = first.Normalized;

                int[] extFrSecond = new int[24];
                for (int i = 0; i < second.Fraction.Length; i++)
                {
                    extFrSecond[i + 1] = second.Fraction[i];
                }
                extFrSecond[0] = second.Normalized;

                //make second negative
                var div = extFrSecond.Select((x) => { if (x == 1)
                                                      {
                                                          return(0);
                                                      }
                                                      else
                                                      {
                                                          return(1);
                                                      } }).ToArray();
                var negativeSecond = Add(div, new int[24] {
                    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
                });

                var res = Add(extFrFirst, negativeSecond.Item1);

                if (res.Item1[0] == 0)
                {
                    //while not zero - normalize
                    int[] newFracton = res.Item1;
                    result.Fraction = newFracton;
                    Console.WriteLine($"Unnormalized  {result.ToString()}");

                    while (newFracton[0] == 0)
                    {
                        newFracton      = ShiftLeftWithZero(newFracton);
                        result.Exponent = Add(result.Exponent, new int[24] {
                            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
                        }).Item1;
                    }
                    result.Fraction   = new int[23];
                    result.Normalized = 1;
                    for (int i = 1; i < newFracton.Length; i++)
                    {
                        result.Fraction[i - 1] = newFracton[i];
                    }
                }
                else
                {
                    result.Fraction   = new int[23];
                    result.Normalized = 1;
                    for (int i = 1; i < res.Item1.Length; i++)
                    {
                        result.Fraction[i - 1] = res.Item1[i];
                    }
                }
            }
            Console.WriteLine($"Normalized Result  {result.ToString()}");

            return(result);
        }