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# (Solved): a) Each of the following statements in Boolean Algebra is true; explain why in each case the stateme ...

a) Each of the following statements in Boolean Algebra is true; explain why in each case the statement is true using your addition and times tables from above. There are two possible inputs for A since it can only take on the values of 0 or 1. i) A+0=A ii) A+1=1 iii) A+ A = A v) Ax1= A iv) A+A=1 (A is the complement of A) iii) A+ (AxB) = A+B vi) AxA=A b) Each of the following statements in Boolean Algebra is true; explain why in each case the statement is true. Since each input for A and/or B can only take on the values of 0 and 1 there are four possible inputs for the compound statements. i) A+ (AxB) = A ii) (A+B)+(A x B) = A + B a) Each of the following statements in Boolean Algebra is true; explain why in each case the statement is true using your addition and times tables from above. There are two possible inputs for A since it can only take on the values of 0 or 1 . i) ii) iii) iv) ( is the complement of ) v) vi) b) Each of the following statements in Boolean Algebra is true; explain why in each case the statement is true. Since each input for A and/or B can only take on the values of 0 and 1 there are four possible inputs for the compound statements. i) ii) iii)

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