Q3 a) Prove the following identity by algebraic manipulation: AB + A'C+ BC - AB + A'C b) For the following function, i Rewrite the following in the Sum of Minterms (SOM) form and in the Product of Maxterms form. ii. Show the truth Table f(x, y, z) = xy'(z+x')+y'(z'+x)

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A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…

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A:

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A: Given:

Q: Computer Science Question

A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…

Q: Computer Science Question

A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…

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A: Given:

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A:

Q: n function F; together with don’t care conditions d, and then express the simplified function in…

A: F (A, B, C, D) = Π (5, 6, 7, 12, 14, 15), d (A, B, C, D) = Π (3, 9, 11)

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Q: Computer Science Question

A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…

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A: Introduction

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A:

Q: 2. Generate truth table for the following functions: (a) F(X,Y,Z)=∑(1,3,6,7) (b) F(X,Y,Z)=π(1,3,4)…

A:

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A: #Python code for _ in range(int(input())):     mod = 999000000     n,m,q=map(int,input().split())…

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A: Output :-

Q: Computer Science Question

A: for _ in range(1):     mod = 998244353     n,m,q=map(int,input().split())…

Q: 5. Simplify the following Boolean functions f, together with the DON'T CARE conditions D, and then…

A:

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Q: Provide an explanation for the answer

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Q: F1(A,B,C,D)=Σ (0, 2, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15) (A=MSB, D=LSB)

A: F(A,B,C,D)= B+D'