Electrical Circuit Design - Desklib

Running head: ELECTRICAL CIRCUIT DESIGN
ELECTRICAL CIRCUIT DESIGN
Name of the Student
Name of the University
Author Note

1ELECTRICAL CIRCUIT DESIGN
Response to question 1:
s
As the arrow moves right to left it gets shorter in length. Hence, the 25 traffic lights from A
to Y will also behave accordingly. In the bottom figure 4 states are shown in total as the
arrow becomes shorter and in the last state all the lights are off i.e. the arrow is not displayed.
State Lights On
State 1 11 (A,D,J,Q,W,K,L,M,N,O,P)
State 2 9(B,F,L,S,X,M,N,O,P)
State 3 7(C,H,N,U,Y,O,P)
State 4 0
Hence, the transition between states occur according to number of lights on/off and based on
which lights are on/off. The state output is 1 when the arrow is displayed, otherwise it is 0. In
the first three states the state output is 1 and in the last state it is 0. The state inputs are
considered as number of lights that are on in that state.

2ELECTRICAL CIRCUIT DESIGN
State diagram:
Response to question 2:
A number is a prime number if it is exactly divisible by 1 and that number itself. Now, a
combinational circuit has been designed to detect a 4-bit binary number is prime or not.
The four-bit number is A = a4 a3 a2 a1.
Here, the MSB of the number is a1 and LSB is a4. The truth table gives the prime number for
which the output is 1.
Decimal equivalent Binary (a4 a3 a2 a1) Output (True=1, False=0)
0 0000 0
1 0001 0
2 0010 1
3 0011 1
State 4
State 1
State 3
State 2
9/1
7/1
0/0
11/1

3ELECTRICAL CIRCUIT DESIGN
4 0100 0
5 0101 1
6 0110 0
7 0111 1
8 1000 0
9 1001 0
10 1010 0
11 1011 1
12 1100 0
13 1101 1
14 1110 0
15 1111 0
K-Map:
a4a3
a2a1