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23 Cards in this Set
- Front
- Back
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A*0 =?
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0
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A*A' = ?
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0
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A + 0 =?
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A
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A + A'=?
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1
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A*1=?
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A
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(A')'=?
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A
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A+1=?
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1
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A*A=?
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A
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A+A=?
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A
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A+AB=?
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A
proof: A+AB=A A(1+B)= A |
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A+A'B=?
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A+B
proof: A+A'B=A+B A+AB+A'B A+B(A+A') A+B |
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A'+AB =?
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A'+B
A'+AB=A'+B A'+A'B+AB A'+B(1) A'+B |
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A(A+B)=?
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A
A(A+B)=A AA+AB A+AB A(1+B) A |
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(A+B)'=?
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A'*B'
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(A*B)'=?
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A'+B'
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How do you simplify boolean?
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Put expression is sum of products form
Simplify. Best thing to do is to use Kmaps first then see if you can simplify. |
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What are the rules to K-Map simplification?
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1,2,4,8 loops; 2^N
Each group should be as large as possible and may over lap. There should be as few groups as possible. Can only be vertical or horizontal. |
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What is demorgans law
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(A+B)'= A'B'
(AB)'= A'+B' Starting from top. Remember that (A+B)''=A+B |
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What does an XOR gate look like and how is it represented?
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Like a OR gate with a right parenthesis to its left.
A circle with a plus in the middle. |
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Explain XOR
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Opposite values = 1
A'B+AB' = A XOR B |
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What does an XNOR gate look like and how is it represented?
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Like a XOR gate with a negative dot to its right.
The symbol is a circle with a dot in the middle. |
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Explain XNOR
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The same values (00, 11) or the opposite of XOR turn it on.
= (A XOR)' =A XNOR B =A'B'+AB |
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How many inputs are allowed in a mux at a time?
How many selectors inputs? |
inputs = 2^n
selectors: n |
