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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) $A+0=A$ ii) $A+1=1$ iii) $A+A=A$ iv) $A+Aˉ=1$ ( $Aˉ$ is the complement of $A$ ) v) $A×1=A$ vi) $A×A=A$ 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) $A+(A×B)=A$ ii) $(A+B)+(A×B)=A+B$ iii) $A+(Aˉ×B)=A+B$

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