(a) (b) Design a digital logic circuit that compares two 2-bit numbers, A and B as shown in Figure 1. The circuit should have three outputs as follows: G ("Greater") should be 1 only when A > B E ("Equal") should be 1 only when A= B L ("Lesser") should be 1 only when A

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Question 1
Design a digital logic circuit that compares two 2-bit numbers, A and B as shown in Figure
1. The circuit should have three outputs as follows:
(a)
(b)
G ("Greater") should be 1 only when A > B
E ("Equal") should be 1 only when A = B
L ("Lesser") should be 1 only when A <B
(i)
(ii) Draw Karnaugh maps and minimise
(iii) Obtain implementation expressions for each Karnaugh map
(iv) Draw a logic diagram
Generate a truth table and determine the state the outputs G, E and L for each
possible combination of A and B
A1
AO
B1
ВО
GEL
Figure 1
Implement the system shown in figure 1 using a 4 to 16 way decoder (74LS154)
Transcribed Image Text:Question 1 Design a digital logic circuit that compares two 2-bit numbers, A and B as shown in Figure 1. The circuit should have three outputs as follows: (a) (b) G ("Greater") should be 1 only when A > B E ("Equal") should be 1 only when A = B L ("Lesser") should be 1 only when A <B (i) (ii) Draw Karnaugh maps and minimise (iii) Obtain implementation expressions for each Karnaugh map (iv) Draw a logic diagram Generate a truth table and determine the state the outputs G, E and L for each possible combination of A and B A1 AO B1 ВО GEL Figure 1 Implement the system shown in figure 1 using a 4 to 16 way decoder (74LS154)
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