MATH : LOGIC

CONJUNCTION



solar eclipse phenomenon is condition of conjunction.
conjunction table of thruth is represented below

W	Q	L ( W ^ Q )
0	0	0
0	1	0
1	0	0
1	1	1

Here, symbolizesa logic operation called conjunction.
L is function of the conditions W & Q
if W & Q is 0, then L is 0
if W is 0 & Q is 1, then L is 0
if W is 1 & Q is 0, then L is 0
if W & Q is 1, then L is 1
by this understanding, we have L = W ^ Q, where ^ symbolizes a logic operation called conjunction and can be read as "and".
this operation is very similar to the multiplication of number since from the truth table we find that.
0 x 0 = 0
0 x 1 = 0
1 x 0 = 0
1 x 1 = 1

Example :
find the truth value of the statement W ^ Q, with the following pairs of W and Q
W = Energy cannot be created
Q = Energy cannot be destroyed

Answer :
 L = Energy cannot be created and energy cannot be destroyed