Automating Manufacturing Systems - Process Control and ...

plc boolean - 6.25
the corresponding buttons are pushed.
OUTPUTS
H G F E D C
B
A
INPUTS
1
1
1
1
0
0
0
1
0
1
0
1
0
0
0
1
0
1
0
0
1
1
1
1
Input X on
Input Y on
Input Z on
7. Convert the following Boolean equation to the simplest possible ladder logic.
X = A ⋅ ( A+
A ⋅ B)
8. Simplify the following boolean equations.
a) AB ( + AB) b) AB ( + AB)
c) AB ( + AB) d) AB ( + AB)
9. Simplify the following Boolean equations,
a) ( A+
B) ⋅ ( A+
B)
b)
ABCD + ABCD + ABCD + ABCD
10. Simplify the Boolean expression below.
(( A⋅
B) + ( B+
A)
) ⋅ C + ( B ⋅ C + B⋅
C)
11. Given the Boolean expression a) draw a digital circuit and b) a ladder diagram (do not simplify),
c) simplify the expression.
X = A⋅
B⋅
C+ ( C+
B)
12. Simplify the following Boolean equation and write corresponding ladder logic.
Y = ( ABCD + ABCD+ ABCD + ABCD) + D
13. For the following Boolean equation,
X = A+ B( A + CB + DAC) + ABCD
a) Write out the logic for the unsimplified equation.