逻辑函数Y(如下图)的最简与—或表达式为?

逻辑函数Y(如下图)的最简与—或表达式为? 图片说明

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace Q756543
{
    class Program
    {
        static bool Compare(Func<bool, bool, bool, bool> f1, Func<bool, bool, bool, bool> f2)
        {
            for (int i = 0; i < 8; i++)
            {
                bool a = i % 2 != 0;
                bool b = (i / 2) % 2 != 0;
                bool c = (i / 4) % 2 != 0;
                if (f1(a, b, c) != f2(a, b, c)) return false;
            }
            return true;
        }
        static void Main(string[] args)
        {
            Func<bool, bool, bool, bool> Y = new Func<bool, bool, bool, bool>((a, b, c) => (a && b) || (!a && b) || (a && b && c) );
            Console.WriteLine(Compare(Y, (a, b, c) => b || !a ));
            Console.WriteLine(Compare(Y, (a, b, c) => b || (a & c) ));
            Console.WriteLine(Compare(Y, (a, b, c) => a || b ));
            Console.WriteLine(Compare(Y, (a, b, c) => b ));
        }
    }
}

False
False
False
True
Press any key to continue . . .

所以选D

Y = AB+A'B+ABC = B(A+A'+AC) = B(1+AC) = B