Programable Logic Controller questions. PLCS

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1. (a) By using a truth table show that the expressions

are equivalent.

(b) Show by plotting truth tables that

NAND gate NOR gate inverter

2. (a) Draw the logic circuit to represent the following Boolean expression

using only NAND gates.

(b) Draw the logic circuit to represent the following Boolean expression

using only NOR gates.

Indicate the outputs of each gate.

F A B A B= + + +

F AB BC AC= . .

≡ ≡

ABC AC BC ABC+ + =

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3. In the ladder diagram shown in FIGURE 1, Y006 is a lamp, X and R

references are relay contacts. Write down the Boolean expression for the

lamp to light.

FIG. 1

4. (a) Add the following HEX numbers converting to binary. Express the

answer in HEX.

(i) 08 + 03

(ii) 0ABC + DA0E.

(b) Write down the 2's complement of:

(i) 00000001

(ii) 00111100

evaluate using the '2's' complement' method. Leave your answers in

binary form.

(i) 17 – 8

(ii) 97 – 125

(d) (i) Write down the bcd form of decimal 845.

(ii) Convert the denary number 818 first to hexadecimal then to

binary.

Show all working.

X001 X005 R001 Y006

X002 X003

R000

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5. State three disadvantages of relays when compared with the use of PLCs

in process control circuits.

6. (a) State what is meant by input and output interfaces in relation to

PLCs.

(b) State briefly what the function of interfaces is in relation to the

different types of process signal.

interface circuit. When a supply voltage of 20 V is applied the LED

carries a current and 2 V is dropped across it. Calculate the value of

the LED current and the value of current through the 3 kΩ resistance.

FIG. 2

3kΩ

470Ω Signal

to micro-

computer

Bi-directional opto-coupler

Internal wiringExternal wiring

Separate supply used for inputs. Note: Either polarity.

Switch

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(d) The circuit shown in FIGURE 3 is part of the interface of a relay

output module. Ib is 1 mA and VCC is 9 V. The relay requires a

minimum of 50 mA to energise.

Complete the values of the assumptions listed below in order to

calculate:

• voltage across R1

• value of R1

• voltage across the relay coil

• voltage across R2

• value of R2

• collector current Ic.

Assumptions:

Logic '1' = V

Logic '0' = V

Transistor forward current gain hfe =

LED current = 10mA

LED voltage drop at 10 mA = V

Base/emitter voltage = V

Collector emitter voltage when transistor is on = 1 V

FIG. 3

R 1

R 2

+V CC

N/O

External Terminals

Logic Signal

0 volts

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