Practice for logical operators

The editor for blog posts doesn't have a symbol that looks like the arrow for implication, so these are the symbols I will use here for the logical operators.

^ is AND
v is OR
~ is NOT
=> is IMPLIES

p = 1101
q = 1000
r = 0110

Find the bitstrings that correspond to these logical operations.

a) p v q
b) p ^ ~r
c) r => q
d) ~r => q
e) ~(r => q)
f) p v q ^ r


Answers in the comments.


More practice problems here .

practice for bitwise operators

p = 1001 1010
q = 0110 0110
r = 1011 0001

^ means and
v means or
~ means not

Order of operations: parentheses first, otherwise left to right

Find the following values.

a) p v q
b) p ^ r
c) p v ~q
d) ~p v q
e) r ^ ~q
f) ~(r ^ q)

Answers in the comments.