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woodpecker

Truth tables

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Does anyone understand them? Having a hard time grasping how the output portion actual adds up.

Here is an example:

A B A.B A+A.B
0 0 0 0
0 1 0 0
1 0 0 1
1 1 1 1


above is the truth table. How does A.B = 0 0 1 1 and hw the hell does A+A.B = 0 0 1 1

I'm missing something and it isnt coming to me.

thanks in advance,

Billy
SONIC WOODY #146

There is a fine line between cockiness and confidence -- which side of the line are you on?

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It is all correct. Provided that boolean '+' yields 1 when at least one between A and B is 1 and that boolean "·" yields 1 only when both A and B are 1, we have the A·B column which is correct.
Then we have the "+" operation between "A" and "A·B", in fact we have 1 only when at least one between "A" and "A·B" is 1:

A _ B _ A·B _ A+A·B
0 _ 0 __ 0 ___ 0
0 _ 1 __ 0 ___ 0
1 _ 0 __ 0 ___ 1
1 _ 1 __ 1 ___ 1

Please consider that B is NOT any of direct member of boolean sum but comes into play only to determine the result of "A·B": FIRST you do "A·B" and THEN you do "A+(A·B)", where "A·B" is the second member.
Stay safe out there
Blue Skies and Soft Walls
BASE #689 - base_689AT_NO_123_SPAMyahoo.com

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<>

Yes...





As Base said:-
A AND B is the same as A&B is the same as A.B (so both A and B must = 1 for the output to be 1 otherwise it's 0)

A OR B is the same as A+B (so if either A is 1 or B is 1 then the output is 1 otherwise it's 0)

(.)Y(.)
Chivalry is not dead; it only sleeps for want of work to do. - Jerome K Jerome

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