Question

SOLVE BOTH AS TEXT FILE PLEASE DO NOT SEND WRITING ON PAPER. WILL GIVE A THUMBS UP

2. LEDs (Light Emitting Diodes)

   Three LEDs (one red, one green, one blue) turn on when a number 0–7 is passed through. Red turns on with even numbers, green turns on with odd numbers, blue turns on with multiples of 3. Zero means they are all off, seven means they are all on.

   Set–up the appropriate truth table, simplify using K–maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates.

3. Propose and solve your own digital design problem.

Answer 1

For red LED

Truth table for Red LED

	A	B	C	Y
0	0	0	0	0
1	0	0	1	0
2	0	1	0	1
3	0	1	1	0
4	1	0	0	1
5	1	0	1	0
6	1	1	0	1
7	1	1	1	1

k-map for Red LED

	C'	C
A'B'	0	0
A'B	1	0
AB	1	1
AB'	1	0

EXPRESSION:

=========================================================================

For green LED

Truth table for Green LED

	A	B	C	Y
0	0	0	0	0
1	0	0	1	1
2	0	1	0	0
3	0	1	1	1
4	1	0	0	0
5	1	0	1	1
6	1	1	0	0
7	1	1	1	1

k-map for Green LED

	C'	C
A'B'	0	1
A'B	0	1
AB	0	1
AB'	0	1

EXPRESSION:

=========================================================================

For blue LED

Truth table for Blue LED

	A	B	C	Y
0	0	0	0	0
1	0	0	1	0
2	0	1	0	0
3	0	1	1	1
4	1	0	0	0
5	1	0	1	0
6	1	1	0	1
7	1	1	1	1

k-map for Blue LED

	C'	C
A'B'	0	0
A'B	0	1
AB	1	1
AB'	0	0

EXPRESSION:

=========================================================================

LOGIC CIRCUIT