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T3 Homework 3

The document consists of a series of logic diagram exercises requiring the output and Boolean algebra expressions for six diagrams, along with a truth table completion for one of them. It also includes a task to show outputs from gates and a truth table for a car warning light system based on door and ignition states, followed by a request to draw a logic circuit diagram. The total marks for the exercises are 20.

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ngthanhthao280110
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118 views2 pages

T3 Homework 3

The document consists of a series of logic diagram exercises requiring the output and Boolean algebra expressions for six diagrams, along with a truth table completion for one of them. It also includes a task to show outputs from gates and a truth table for a car warning light system based on door and ignition states, followed by a request to draw a logic circuit diagram. The total marks for the exercises are 20.

Uploaded by

ngthanhthao280110
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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​ ​

Name:​ ​ Class:​ ​Mark:​

1.​ State the output from each of the following six logic diagrams and express the diagram in
the form of Boolean algebra. For example:

(a) [2]

(b) [2]

(c) [2]

(d) [2]

(e)​ Complete the truth table for the final logic diagram in (d) above:​ [2]

A B R = A AND B P = NOT (A AND B)

1 1 1 0

1 0 0 1

0 1 0 1

0 0 0 1

1
​ ​

2.​ Show on the diagram below the output from each of the gates, including ​
the output P.​ [2]

3.​ A car has two doors. If the ignition is on, and either of the doors is not properly closed, a
warning light is displayed.
(a)​ Complete the truth table below.​ [4]
Warning light
Door 1 Door 2 Ignition Working space
on (W)
open (D1) open (D2) on (I)

0 0 0 0 0

0 0 1 0 0

0 1 0 1 0

0 1 1 1 1

1 0 0 1 0

1 0 1 1 1

1 1 0 1 0

1 1 1 1 1

(b)​ Draw a logic circuit diagram for this scenario.​ [4]

​ [Total marks 20]


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