A T3 В C F1 T2 T4 D F2 4.49 For the circuit shown in Fig. P4.1, 1. (a) Write and verify a gate-level HDL model of the circuit. 2. (b) Compare your results with those obtained for Problem 4.1 .

4.1 Investigate if the following Boolean “identity” is correct, or not. If it is not correct, formulate the correct version of the identity (?′?+?)′=?+?′?′. [2]4.2 Use the identities of Boolean algebra to verify the following identity: [4]?(?+?)+??′+??′+?=?+?+?4.3 Consider the logic gate circuit below:a) Formulate the Boolean expression corresponding to the output of the logic circuit diagram above. [2]b) Hence, show that the Boolean expression formulated in part (a) reduces to ??+?. [3]c) Draw the logic gate circuit diagram corresponding to the reduced expression inpart (b) above. 3.1 Let r, s, t denote the statements “Joe is registered for MCI511S”, “Joe will go to the zoo next week”, “Joe is registered for PBT512S”, respectively. Translate the symbolic statement (∼?∨?)→∼? into words. [2]3.2 Write the negation of the statement “If Joe writes the exam, he will go the airport but he will not catch the flight”. [2]3.3 Determine the truth value of the compound statement (?∧∼?)∨∼?, if p…

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Design a circuit that takes a 4-bit number as input. if the input is odd number or zero, the output should be equal to input + 1. if the input is even number, the output should be equal to 3.( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).