Logical sum / arithmetic /product

suppose I need to construct a truth table for some inputs and it is asking me for the logical sum, arithmetic sum, and logical product. What is the difference between those?


Logical Sum - A computer addition in which the result is 1 when either one or both input variables is 1, and the result is 0 when the input variables are both 0. (answers.com)

Arithmetic sum - 1+1

Logical product - The logical product of two propositions p, q, is their conjunction, p & q. (answers.com)