#include #include //C++ functions can't return C-style arrays by value thats why vectors (idk) int YES(int x) { return x; } int NOT(int x) { return x ? 0 : 1; } int AND(int x, int y) { return YES(x) ? (YES(y) ? 1 : 0) : 0; } int OR(int x, int y) { return NOT(AND(NOT(x),NOT(y))); } int NAND(int x, int y) { return NOT(AND(x, y)); } int XOR(int x, int y) { return AND(OR(x, y), OR(NOT(x), NOT(y))); } int NOR(int x, int y) { return NOT(x) ? (NOT(y) ? 1 : 0) : 0; } int XNOR(int x, int y) { return OR(AND(x, y), AND(NOT(x), NOT(y))); } bool lowerThan(int x, int y) { return x ? false : (XOR(x, y)); //return(x < y)?1:0; } bool greaterThan(int x, int y) { return y ? false : (XOR(x, y)); //return(x > y)?1:0; } bool equalTo(int x, int y) { return XNOR(x, y); //return(x==y)?1:0; } std::vector Anding(std::vector no1, std::vector no2) { std::vector temp = { AND(no1[0], no2[0]), AND(no1[1], no2[1]),AND(no1[2], no2[2]),AND(no1[3], no2[3]),AND(no1[4], no2[4]),AND(no1[5], no2[5]),AND(no1[6], no2[6]),AND(no1[7], no2[7]) }; return temp; } std::vector Xoring(std::vector no1, std::vector no2) { std::vector temp = { XOR(no1[0], no2[0]), XOR(no1[1], no2[1]),XOR(no1[2], no2[2]),XOR(no1[3], no2[3]),XOR(no1[4], no2[4]),XOR(no1[5], no2[5]),XOR(no1[6], no2[6]),XOR(no1[7], no2[7]) }; return temp; } std::vector leftShifting(std::vector a) { std::vector temp = { a[1], a[2], a[3], a[4], a[5], a[6], a[7], 0 }; return temp; } bool helper(std::vector ct) { return OR(OR(OR(YES(ct[0]), YES(ct[1])), OR(YES(ct[2]), YES(ct[3]))), OR(OR(YES(ct[4]), YES(ct[5])), OR(YES(ct[6]), YES(ct[7])))) ? (OR(OR(OR(YES(ct[1]), YES(ct[2])), OR(YES(ct[3]), YES(ct[4]))), OR(OR(YES(ct[5]), YES(ct[6])), OR(YES(ct[7]), YES(ct[0])))) ? true : false) : false; } // RECURSIVE FUNC std::vector bAdd(std::vector no1, std::vector no2) { std::vector xt = Xoring(no1, no2), ct = leftShifting(Anding(no1, no2)), sum = Xoring(xt, ct); return helper(ct) ? bAdd(ct, xt) : sum; } std::vector TwoComplements(std::vector no) { std::vector one = { 0,0,0,0,0,0,0,1 }, temp = { NOT(no[0]), NOT(no[1]), NOT(no[2]), NOT(no[3]), NOT(no[4]), NOT(no[5]), NOT(no[6]),NOT(no[7]) }; return bAdd(temp, one); } std::vector bSub(std::vector no1, std::vector no2) { return bAdd(no1, TwoComplements(no2));// (no1 + (minus)no2) = (no1 + complement(no2)) } void print(std::vector val) { std::cout << val[0] << " " << val[1] << " " << val[2] << " " << val[3] << " " << val[4] << " " << val[5] << " " << val[6] << " " << val[7]; } int main(void){ std::vector no1 = { 0,1,0,1,1,1,1,0 }, no2 = { 0,0,0,1,0,1,1,1 }, ares = bAdd(no1, no2), sres = bSub(no1, no2); std::cout << "A YES\n0 " << YES(0) << "\n1 " << YES(1) << "\n\nA NOT A\n0 " << NOT(0) << "\n1 " << NOT(1) << "\n\nA B A AND B\n0 0 \t" << AND(0, 0) << "\n0 1 \t" << AND(0, 1) << "\n1 0 \t" << AND(1, 0) << "\n1 1 \t" << AND(1, 1) << "\n\nA B A OR B\n0 0 \t" << OR(0, 0) << "\n0 1 \t" << OR(0, 1) << "\n1 0 \t" << OR(1, 0) << "\n1 1 \t" << OR(1, 1) << "\n\nA B A NAND B\n0 0 \t" << NAND(0, 0) << "\n0 1 \t" << NAND(0, 1) << "\n1 0 \t" << NAND(1, 0) << "\n1 1 \t" << NAND(1, 1) << "\n\nA B A XOR B\n0 0 \t" << XOR(0, 0) << "\n0 1 \t" << XOR(0, 1) << "\n1 0 \t" << XOR(1, 0) << "\n1 1 \t" << XOR(1, 1) << "\n\nA B A NOR B\n0 0 \t" << NOR(0, 0) << "\n0 1 \t" << NOR(0, 1) << "\n1 0 \t" << NOR(1, 0) << "\n1 1 \t" << NOR(1, 1) << "\n\nA B A XNOR B\n0 0 \t" << XNOR(0, 0) << "\n0 1 \t" << XNOR(0, 1) << "\n1 0 \t" << XNOR(1, 0) << "\n1 1 \t" << XNOR(1, 1) << "\n\n-----------lower------------\nIs lowerThan(0,0)? --> " << std::boolalpha << lowerThan(0, 0) << "\nIs lowerThan(0,1)? --> " << std::boolalpha << lowerThan(0, 1) << "\nIs lowerThan(1,0)? --> " << std::boolalpha << lowerThan(1, 0) << "\nIs lowerThan(1,1)? --> " << std::boolalpha << lowerThan(1, 1) << "\n\n-----------greater------------\nIs greaterThan(0,0)? --> " << std::boolalpha << greaterThan(0, 0) << "\nIs greaterThan(0,1)? --> " << std::boolalpha << greaterThan(0, 1) << "\nIs greaterThan(1,0)? --> " << std::boolalpha << greaterThan(1, 0) << "\nIs greaterThan(1,1)? --> " << std::boolalpha << greaterThan(1, 1) << "\n\n----------equal-----------\nIs equalTo(0,0)? --> " << std::boolalpha << equalTo(0, 0) << "\nIs equalTo(0,1)? --> " << std::boolalpha << equalTo(0, 1) << "\nIs equalTo(1,0)? --> " << std::boolalpha << equalTo(1, 0) << "\nIs equalTo(1,1)? --> " << std::boolalpha << equalTo(1, 1) << "\n\n-------ADDITION--------\nNo1 --> ", print(no1), std::cout << "\nNo2 --> ", print(no2), std::cout << "\nAns --> ", print(ares), std::cout << "\n\n------SUBTRACTION------\nNo1 --> ", print(no1), std::cout << "\nNo2 --> ", print(no2), std::cout<< "\nAns --> ", print(sres); }

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