Digital teknique

4-1.        SIMPLIFY WITH ALJABAR BOOLEAN

A.      X = ABC + A/.C    = C (AB + A/)

B.       Y = (Q + R) (Q/+R/)

        =Q.Q/ + Q.R/ +Q/.R +R.R/

        =Q.R/+Q/.R

C.    W = ABC +A.B/.C + A/

          =AC (B+B/) +A/

          =AC +A/

          =C + A/

D.    Q = (RST)/.(R +S+ T)/

          =R/ +S/ + T/. (R/.S/.T/)

          =R/.S/.T/ + R/.S/.T/ + R/.S/.T/

E.     X= A/.B/.C/ + A/.B.C +ABC+A.B/.C/+A.B/.

        =B/.C/ (A/+A) + BC(A/+A) + A.B/.C

        =B/.C/ + BC + A.B/.C

           =B/.C/ + C(B+A.B/)

           =B.C/ + C(B+A)

           =B.C/ + B.C+A.C

           =B+AC

F.      Z = ( B+C/).(B/+C) +( A/+B+C/)/

          =B.B/+BC + B/.C/ + C/.C+(A//.B/.C//)

          =BC + B/.C/ +A.B/.C

          =BC +B/ (C/+AC)

          =BC + B/(C/+A)

          =BC + B/.C/ +A.B/

G.       Y= (C+D)/+ A/.C .D/ +A.B/.C/ +A/.B/.C.D + AC.D/

           =C/.D/ +A/.C.D/ +AB/.C/ +A/.B/.CD + AC.D/

           =D/(C/+A/C+AC) B/(AC/+A/CD)

           =D/(C+D) B/

           =D/C.B/

H.   X = AB(C/.D)/ + A/.B.D+B/.C/.D/

          =AB(C+D/) +A/.BD +B/.C/.D/

          =ABC+AB.D/ +A/BD +B/.C/D/

          =ABC + A/BD + D/(AB +B/C/)

          =B/(AC+A/D) + D/(AB +B/C/)

4-6 

A manufacturing plant needs to have a horn sound signal quitting time. the horn sound should be activated when either the following is met.

1. it's after 5 o'clock and all machines are shut down

2. it's Friday, the production run for day is complete, and all machines are shut down

design the logic circuit that will control the horn (hint: use for logic input variables to represent the various conditions. for examples input A will be high only when  the time of the day is 5 o'clock or later..

ANSWER :

A = 5 O'CLOCK

B = MACHINES ARE SHUT DOWN

C = FRIDAY

D = PRODUCT IS COMPLETES

X= A.B/.C.D + A.B/.C.D + A.B/.C/.D + A/.B.C.D

=A.B/ (C.D + C/.D) + A/.B.C.D

=A.B/.D+A/.B.C.D

SOAL 4-49

1.      A/B/C/D/ + A/B/C/D + A/B/CD + A/B/CD/ + A/BC/D/ + A/BC/D + ABCD/ + AB/CD + AB/CD/

=A/B/(C/D/+C/D+CD+CD/) + A/B(C/D/+C/D) + ABCD/ + AB/(CD+CD/)

=A/B/(C/+C) + A/BC/ + ABCD/ + AB/C

=A/B/+A/BC/+ABCD/+AB/C

=A/(B/+BC/) + ABCD/ + AB/C

=A/(B/+C/) +ABCD/ + AB/C

=A/B/+A/C/+ABCD/+AB/C

=B/(A/+AC) + A/C/ + ABCD/

=B/(A/+C) + A/C/ + ABCD/

=B/A/ + B/C + A/C/ + ABCD/

2.    A/B/C/D/+A/B/CD+A/B/CD/+A/BC/D/+A/BCD/+AB/C/D/+AB/CD+AB/CD/

       =A/B/(C/D/+CD+CD/)+A/B(C/D/+CD/)+AB/(C/D/+CD+CD/)

       =A/B/(1+CD/)+ABD/+AB/(1+CD/)

       =A/B/+A/B/CD/+ABD/+AB/(1+CD/)

       =A/B/+A/B/CD/+ABD/+AB/+AB/CD/

       =B/(A/+A/CD/)+A+ACD/)+ABD/

       =B/(1+CD)+ABD/

       =B/+B/CD+ABD/

       =B/+ABD/

3. A/B/C+A/B/C+ABC/+AB/C/+AB/C
   =C/(A/B/+AB+AB/)+C(A/B/+AB/)
   =C/(1+AB/)+CB/
   =C/+C/AB/+CB/
   =C/+B/(C/A+C)
   =C/+B/(C+A)
   =C/+B/C+B/A
   =C/+B/C+B/A
   =C/+B+B/A
   =C/+B+A

Boolean Algebra With DeMorgan's Theorems

a. (A/.B.C/)/              = A//+B/+C// = A+B/+C
b. (A/+B/.C)/             = A//(B//+C/) = A(B+C/) = AB+AC/
c. (A.B.C/.D/)/           = A/+B/+C//+D// = A/+B/+C+D
d. (A+B/)/                  = A/.B// = A/.B
e. (A/.B/)/                   = A//+B// = A+B
f. (A/+C/+D/)/           = A//.C//.D// = A.C.D
g. (A(B+C/)/.D)/        = A/+B//.C///+D/ = A/+B.C/+D/

h. ((M+N/).(M/+N))/ = (M.N/)/+(M/.N)/ = (M/.N)+(M.N/)
i. (A//.B//.C/.D)/         = A///+B///+C//+D/ = A/+B/+C+D/

STEPS TO MAKE A CAPTION

STEPS TO MAKE A CAPTION
In addition we can create a table of contents automatically, we can also create a list of images is automatically.
Here I will try to explain,
Before we make a list of images, we first have to insert images into the text that we want to give the image.
Step-by-step;
1. Insert
2. Picture
   example : 

To make the name of the image, we can perform the command:
1. Reference
2. Insert caption
3. New label

example : 

 

Then we can create a list of images, the steps are:
1. Reference
2. Insert table of figures
3. formal

                                                                

 So it wiil be as shown below :

STEPS TO MAKE A TABLE OF CONTENTS

Hi friends .....
How are you ..?
There's a new one on my blog ya ...
Previous most of us, if you make a table of contents that manually .. and it was very busy.
Nahhh .... Here I will explain how to create a table of contents automatically.

STEPS TO MAKE A TABLE OF CONTENTS
1. Open MS.Word, Type in writing to be included to table of content.
example:

 
2. Block writing to be given special treatment, and define hedingnya.
example:

 So it wiil be as shown below :

 3. If you want to change the type of figures CHAPTER Kehuruf Roman or otherwise, perform the command:
1. Home
2. multilevel list
3. Define new multilevel list
4. Enter formatting for number
5. Choose a number style roman numerals

 So it wiil be as shown below :

 

we make number subsequent pages

example : 

  

4. Furthermore, to create a table of contents following command:

1. click the references
2. Select the table of contents
3. Select the insert table of contents
4. Select the type of formal

So it wiil be as shown below :