COMP110 Worksheet 4

Please edit this README.md file with your answers to the worksheet questions.

Question 1

a

A	B	C	A AND B AND NOT C
FALSE	FALSE	FALSE	FALSE
FALSE	FALSE	TRUE	FALSE
FALSE	TRUE	FALSE	FALSE
FALSE	TRUE	TRUE	FALSE
TRUE	FALSE	FALSE	FALSE
TRUE	FALSE	TRUE	FALSE
TRUE	TRUE	FALSE	TRUE
TRUE	TRUE	TRUE	FALSE

b

A	B	C	A AND NOT (B AND NOT C)
FALSE	FALSE	FALSE	FALSE
FALSE	FALSE	TRUE	FALSE
FALSE	TRUE	FALSE	FALSE
FALSE	TRUE	TRUE	FALSE
TRUE	FALSE	FALSE	TRUE
TRUE	FALSE	TRUE	TRUE
TRUE	TRUE	FALSE	FALSE
TRUE	TRUE	TRUE	TRUE

c

A	B	C	(A OR NOT B) AND (A OR C)
FALSE	FALSE	FALSE	FALSE
FALSE	FALSE	TRUE	TRUE
FALSE	TRUE	FALSE	FALSE
FALSE	TRUE	TRUE	FALSE
TRUE	FALSE	FALSE	TRUE
TRUE	FALSE	TRUE	TRUE
TRUE	TRUE	FALSE	TRUE
TRUE	TRUE	TRUE	TRUE

d

A	B	C	D	A AND NOT (B OR NOT C) AND (NOT A AND D)
FALSE	FALSE	FALSE	FALSE	FALSE
FALSE	FALSE	TRUE	FALSE	FALSE
FALSE	TRUE	FALSE	FALSE	FALSE
FALSE	TRUE	TRUE	FALSE	FALSE
TRUE	FALSE	FALSE	FALSE	FALSE
TRUE	FALSE	TRUE	FALSE	FALSE
TRUE	TRUE	FALSE	FALSE	FALSE
TRUE	TRUE	TRUE	FALSE	FALSE
FALSE	FALSE	FALSE	TRUE	FALSE
FALSE	FALSE	TRUE	TRUE	FALSE
FALSE	TRUE	FALSE	TRUE	FALSE
FALSE	TRUE	TRUE	TRUE	FALSE
TRUE	FALSE	FALSE	TRUE	FALSE
TRUE	FALSE	TRUE	TRUE	FALSE
TRUE	TRUE	FALSE	TRUE	FALSE
TRUE	TRUE	TRUE	TRUE	FALSE

Question 2

a

b

c

d

Question 3

a

A	B	NOT (A OR B)	NOT A AND NOT B
FALSE	FALSE	TRUE	TRUE
FALSE	TRUE	FALSE	FALSE
TRUE	FALSE	FALSE	FALSE
TRUE	TRUE	FALSE	FALSE

b

A	B	NOT (A AND B)	NOT A OR NOT B
FALSE	FALSE	TRUE	TRUE
FALSE	TRUE	TRUE	TRUE
TRUE	FALSE	TRUE	TRUE
TRUE	TRUE	FALSE	FALSE

c

A	B	C	(A AND B) OR (A AND C)	A AND (B OR C)
FALSE	FALSE	FALSE	FALSE	FALSE
FALSE	FALSE	TRUE	FALSE	FALSE
FALSE	TRUE	FALSE	FALSE	FALSE
FALSE	TRUE	TRUE	FALSE	FALSE
TRUE	FALSE	FALSE	FALSE	FALSE
TRUE	FALSE	TRUE	TRUE	TRUE
TRUE	TRUE	FALSE	TRUE	TRUE
TRUE	TRUE	TRUE	TRUE	TRUE

d

A	B	C	(A OR B) AND (A OR C)	A OR (B AND C)
FALSE	FALSE	FALSE	FALSE	FALSE
FALSE	FALSE	TRUE	FALSE	FALSE
FALSE	TRUE	FALSE	FALSE	FALSE
FALSE	TRUE	TRUE	TRUE	TRUE
TRUE	FALSE	FALSE	TRUE	TRUE
TRUE	FALSE	TRUE	TRUE	TRUE
TRUE	TRUE	FALSE	TRUE	TRUE
TRUE	TRUE	TRUE	TRUE	TRUE

Question 4

a

A	B	NOT (A AND B)	NOT A OR NOT B
FALSE	FALSE	TRUE	TRUE
FALSE	TRUE	FALSE	FALSE
TRUE	FALSE	FALSE	FALSE
TRUE	TRUE	FALSE	FALSE

b

type(X) = INT	X > 7	(X = int AND X > 7) OR ( X = float AND X > 7)	(X = int or X = float ) and X > 7
TRUE	FALSE	FALSE	FALSE
TRUE	TRUE	TRUE	TRUE
FALSE	FALSE	FALSE	FALSE
FASLE	TRUE	TRUE	TRUE

c

X = 0	Y = 0	X = 0 AND Y = 0	NOT (NOT X OR NOT Y)
FALSE	FALSE	FALSE	FALSE
FALSE	TRUE	FALSE	FALSE
TRUE	FALSE	FALSE	FALSE
TRUE	TRUE	TRUE	TRUE

d

X > 10	Y > 0	X > 10 OR (X > 0 AND Y > 0)	X > 0 AND (X > 10 OR Y > 0)
FALSE	FALSE	FALSE	FALSE
FALSE	TRUE	TRUE	TRUE
TRUE	FALSE	TRUE	TRUE
TRUE	TRUE	TRUE	TRUE