Q1: (A) Prove the following Boolean equation using the theorems of Boolean algebra. A+B (ABA) B (B) Find the state table, state equations, and output equation for the following sequential logic circuit. X J B K A K B CLK- Q2: (A) Design a ripple counter to count the sequence: 0, 1, 2, 3 and repeat, using J-K flip-flops of asynchronous CLEAR and PRESET inputs to initialize the counter to state 0. (B) Implement the following Boolean equations using 4X1 Multiplexers and one NOT gate only. Y = A + BC Z = AC + B

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Q1: (A) Prove the following Boolean equation using the theorems of Boolean algebra.
A+B (ABA) B
(B) Find the state table, state equations, and output equation for the following sequential logic
circuit.
X
J
B
K
A
K
B
CLK-
Q2: (A) Design a ripple counter to count the sequence: 0, 1, 2, 3 and repeat, using J-K flip-flops of
asynchronous CLEAR and PRESET inputs to initialize the counter to state 0.
(B) Implement the following Boolean equations using 4X1 Multiplexers and one NOT gate only.
Y = A + BC
Z = AC + B
Transcribed Image Text:Q1: (A) Prove the following Boolean equation using the theorems of Boolean algebra. A+B (ABA) B (B) Find the state table, state equations, and output equation for the following sequential logic circuit. X J B K A K B CLK- Q2: (A) Design a ripple counter to count the sequence: 0, 1, 2, 3 and repeat, using J-K flip-flops of asynchronous CLEAR and PRESET inputs to initialize the counter to state 0. (B) Implement the following Boolean equations using 4X1 Multiplexers and one NOT gate only. Y = A + BC Z = AC + B
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