MULTIPICATION -2 X -2 = 4
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Sabtu, 29 Desember 2012
Digital teknique
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
=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
=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
Senin, 05 November 2012
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/
Jumat, 02 November 2012
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
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 :
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