Design a circuit Help??

Design a circuit to distinguish all prime numbers that less than 16. Show me your circuit and logical history. Use 1 bulb to distinguish the prime number and 1 numeric output to display the hexadecimal number. Any Ideas on how to do this? Please help..
That depends on how input is feeded (I suppose it is 4 inputs representing binary numbers) and how "numeric output" is controlled (I suppose it is 7 outputs each controlling one section of 7-section display)
Design a circuit??? Do you mean hardware or a simulation?
I'm with cnoeval on this.

Design a circuit? You mean with logic gates?

I don't know if this can help you out. I haven't fully implemented it yet, but if you have to design a circuit through c++ ( Which I tried with this ) this is as close as I got.

I hope it's of some use.

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
#include <iostream>

class Gate
{
public:
	Gate() {}
	Gate(Gate *g1, Gate *g2)
	{
		A = g1->GetState(); B = g2->GetState();
	}
	virtual void DoLogic() =0;
	bool GetState()
	{
		return C;	// Return state
	}
	void SetPin(bool p, bool i)	// Set pin A and B with Input
	{
		if(p)
		{
			B = i;		// 1 is Pin B
			DoLogic();	// Update Gate
		}
		else
		{
			A = i;		// Pin A is 0
			DoLogic();
		}
	}
	bool GetPin(bool p) { if(p) return B; else return A; }
	void LinkPin(bool dp, Gate *sg, bool sp)
	{
		
	}
protected:
	bool A; // Pin A
	bool B; // Pin B
	bool C; // OUT
};

class Link
{
public:
	Link(Gate *o, Gate *i, bool p)
	{
		OUT = o; IN = i; PIN = p;	
	}
	void Update()
	{
		IN->SetPin(PIN, OUT->GetState());
	}
private:
	Gate *IN;
	Gate *OUT;
	bool PIN;
};

std::ostream& operator<<(std::ostream& os, Gate& g) // Not fully sure
{													 // But it works
	os << g.GetState(); // I imagine putting value into cout
	return os;			// Then printing it out
}

class NOT : public Gate
{
public:
	NOT() {}
	NOT(bool a)
	{
		A = a;
		DoLogic();
	}
	NOT(Gate *g1)
	{
		A = g1->GetState();
		DoLogic();
	}
	void DoLogic()
	{
		if(A) C = 0;	// Gate logic
		else C = 1;		// Set output
	}
};

class AND : public Gate
{
public:
	AND() {}
	AND(bool a, bool b)
	{
		A = a; B = b;
		DoLogic();
	}
	AND(Gate *g1, Gate *g2)
	{
		A = g1->GetState(); B = g2->GetState();
		DoLogic();
	}
	void DoLogic()
	{
		if(A && B) C = 1;
		else C = 0;
	}
private:
};

class NAND : public Gate
{
public:
	NAND() {}
	NAND(bool a, bool b)
	{
		A = a; B = b;
		DoLogic();
	}
	NAND(Gate *g1, Gate *g2)
	{
		A = g1->GetState(); B = g2->GetState();
		DoLogic();
	}
	void DoLogic()
	{
		if(!(A&&B)) C = 1;
		else C = 0;
	}
};

class OR : public Gate
{
public:
	OR() {}
	OR(bool a, bool b)
	{
		A = a; B = b;
		DoLogic();
	}
	OR(Gate *g1, Gate *g2)
	{
		A = g1->GetState(); B = g2->GetState();
		DoLogic();
	}
	void DoLogic()
	{
		if(A || B) C = 1;
		else C = 0;
	}
};

class NOR : public Gate
{
public:
	NOR() {}
	NOR(bool a, bool b)
	{
		A = a; B = b;
		DoLogic();
	}
	NOR(Gate *g1, Gate *g2)
	{
		A = g1->GetState(); B = g2->GetState();
		DoLogic();
	}
	void DoLogic()
	{
		if(!(A || B)) C = 1;
		else C = 0;
	}
};

class XOR : public Gate
{
public:
	XOR() {}
	XOR(bool a, bool b)
	{
		A = a; B = B;
		DoLogic();
	}
	XOR(Gate *g1, Gate *g2)
	{
		A = g1->GetState(); B = g2->GetState();
		DoLogic();
	}
	void DoLogic()
	{
		if(A^B) C = 1;
		else C = 0;
	}
};

void TestCircuit()
{
	NOT n1(true);			// Create a NOT gate
	Link l1(&n1, &n1, 0);	// Create a Link from carry to PIN A
	
	int iters; iters = 0;	// Count cycles
	int counta, countb;		// How many times 0 or 1
	counta = 0; countb = 0;
	while(iters < 100)
	{
		std::cout << "\rNOT1: " << n1
				  << "\tIterations: "<< iters
				  << "\t0: " << counta
				  << "\t1: " << countb;
				  
		l1.Update();	// Update the PINS
		
		if(n1.GetState()) countb++;
		else counta++;
		
		iters++;
	}
}

int main()
{
	// Test all expressions
	AND a1(false,false); // 0,0 were ambiguous
	std::cout << "AND1 = " << a1 << "\n";
	AND a2(0,1);
	std::cout << "AND2 = " << a2 << "\n";
	AND a3(1,0);
	std::cout << "AND3 = " << a3 << "\n";
	AND a4(1,1);
	std::cout << "AND4 = " << a4 << "\n\n";
	
	NAND na1(false,false);
	std::cout << "NAND1 = " << na1 << "\n";
	NAND na2(0,1);
	std::cout << "NAND2 = " << na2 << "\n";
	NAND na3(1,0);
	std::cout << "NAND3 = " << na3 << "\n";
	NAND na4(1,1);
	std::cout << "NAND4 = " << na4 << "\n\n";
	
	OR o1(&a1,&na1);
	std::cout << "OR1 = " << o1 << "\n";
	OR o2(&a2,&na2);
	std::cout << "OR2 = " << o2 << "\n";
	OR o3(&a3,&na3);
	std::cout << "OR3 = " << o3 << "\n";
	OR o4(&a4,&na4);
	std::cout << "OR4 = " << o4 << "\n\n";
	
	NOR no1(&a1,&na1);
	std::cout << "NOR1 = " << no1 << "\n";
	NOR no2(&a2,&na2);
	std::cout << "NOR2 = " << no2 << "\n";
	NOR no3(&a3,&na3);
	std::cout << "NOR3 = " << no3 << "\n";
	NOR no4(&a1,&na4);
	std::cout << "NOR4 = " << no4 << "\n\n";
	
	XOR xo1(&a1,&na1);
	std::cout << "XOR1 = " << xo1 << "\n";
	XOR xo2(&a2,&na2);
	std::cout << "XOR2 = " << xo2 << "\n";
	XOR xo3(&a3,&na3);
	std::cout << "XOR3 = " << xo3 << "\n";
	XOR xo4(&a4,&na4);
	std::cout << "XOR4 = " << xo4 << "\n\n";
	
	XOR xo5;
	Link l1(&a1, &xo5, 0);
	Link l2(&a3, &xo5, 1);
	l1.Update();
	l2.Update();
	std::cout << "XOR5 = " << xo5 << "\n";
	
	XOR xo6;
	Link l3(&a1, &xo6, 0);
	Link l4(&a4, &xo6, 1);
	l3.Update();
	l4.Update();
	std::cout << "XOR6 = " << xo6 << "\n\n";
	
	Link l5(&xo6, &xo5, 0);	// Link XOR6 OUT to XOR5 PIN A
	Link l6(&xo6, &xo6, 1);	// Link XOR6 OUT to XOR6 PIN B
	
	TestCircuit();
	std::cout << "\n\n";
	
	AND Test(&a1, &a2);
	Test.LinkPin(0, &a2, 1);
	std::cout << "TEST: " << Test << "\n\n";

	return 0;
}
Topic archived. No new replies allowed.