Logout

2.1.12

Construct truth tables using the above operators. (AND, OR, NOT, NAND, NOR and XOR)

 

Teaching Note:

For example, Maria won’t go to school if it is cold and raining or she has not done her homework.

Not more than three inputs are used.

LINK Thinking logically.

TOK Reason as a way of knowing.


 

Sample Question:

sdfsdfsf

The important thing to note with this particular assessment statement is that you are not to define as a dictionary would (as with the last assessment statement), rather you are to define the various Boolean operators by drawing the appropriate truth table.  Not that that’s not such a big deal; just do be prepared to do so.  One point to make is that when drawing the truth table, you should include all four columns; both the and/or and the not and/not or.


AND and NAND

 

A

 

B

 

table 1

 

table 2

0

0

0

1

0

1

0

1

1

0

0

1

1

1

1

0




OR and NOR

 

A

 

B

 

table 3

 

table 4

0

0

0

1

0

1

1

0

1

0

1

0

1

1

1

0



(OR again, and) XOR

 

A

 

B

 

table 3

 

AB

0

0

0

0

0

1

1

1

1

0

1

1

1

1

1

0



NOT

 

A

_

A

0

1

1

0

 

Full Examples With Three Inputs:

truth table example

truth table example

truth table example

truth table example

truth table example with a not also

truth table example

truth table example