Hi Guys,
I have some boolean problems, and if you can solve it ... just do it
1)Write the dual of each Boolean expression. (Insert parentheses so that the result is properly interpreted.)
a) A + B . C
b) A . (B + C) + (A(B . C)
c) A + B + (A + B) .C + (A + B + C) . D
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2) Use the axioms and theorems of Boolean algebra to prove the following theorems.
a) (A . B) + (A . B) = A
b) (A . B) + (A . C) + (B . C) = A . C
c) AB + AB = (A + B) . (A + B) = (A + B) . (AB)
d) A + A . B . C = A + B . C
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3) The following expressions are difficult to read as written. Insert Parentheses to clarify them by identifying the operator hierarchy in each function.
a) A + B. C + D . E
b) A . B + C . D + E + F
c) A . B + C . (D + E . F)
________________________
Let us share the solution
I have some boolean problems, and if you can solve it ... just do it
1)Write the dual of each Boolean expression. (Insert parentheses so that the result is properly interpreted.)
a) A + B . C
b) A . (B + C) + (A(B . C)
c) A + B + (A + B) .C + (A + B + C) . D
_______________________________________________
2) Use the axioms and theorems of Boolean algebra to prove the following theorems.
a) (A . B) + (A . B) = A
b) (A . B) + (A . C) + (B . C) = A . C
c) AB + AB = (A + B) . (A + B) = (A + B) . (AB)
d) A + A . B . C = A + B . C
_______________________________________________
3) The following expressions are difficult to read as written. Insert Parentheses to clarify them by identifying the operator hierarchy in each function.
a) A + B. C + D . E
b) A . B + C . D + E + F
c) A . B + C . (D + E . F)
________________________
Let us share the solution