Week 5 DQ1

In your own words, discuss examples of at least 3 of the tenlaws of Boolean algebra.

The law of the double complement states that the complement of the complement of some function f is f. In terms of boolean algebra, f can be either 0 or 1. If it is 1, its complement is 0. If it is 0, its complement is 1. So...

f 0

complement of f 1

complement of the complement of f complement of 1 0 f

You can reverse the 0's and 1's and come up with the same result.

The idempotent laws state that f f f and ff f. This can be shown easily with a truth table but true and true yields true, true * true yields true per the definitions of addition and multiplication for the elements. Similarly false and false yields false, false * false yields false.

f

f

f f

f*f

1

1

1

1

0

0

0

0...

MTH 221

jacob

**Excerpt from file: **Week5DQ1 Inyourownwords,discussexamplesofatleast3ofthetenlawsofBooleanalgebra. Thelawofthedoublecomplementstatesthatthecomplementofthecomplementofsome functionfisf.Intermsofbooleanalgebra,fcanbeeither0or1.Ifitis1,itscomplementis0.If itis0,itscomplementis1.So... f0 complementoff1

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Surround your text in `*italics*`

or `**bold**`

, to write a math equation use, for example, `$x^2+2x+1=0$`

or `$$\beta^2-1=0$$`

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Asked: 8 months ago