Question

g Boolean Algebraic properties _____. a. are used to make boolean expressions more complicated b. are used to convert a Boolean equation to a circuit c. can lead to a simpler expression and thus a simpler circuit d. can be used with integer numbers

Answer 1

Answer:

c. can lead to a simpler expression and thus a simpler circuit.

Explanation:

Boolean logic refers to a theory of mathematics developed by the prominent British mathematician, called George Boole. In Boolean logic, all variables are either true or false and are denoted by the number "1" or "0" respectively; True = 1 or False = 0.

Also, Boolean logic allow users to combine keywords with Boolean operators (quotes, AND, OR, near/n) to give a more personalized and relevant search results.

There are five (5) main Boolean Algebraic properties and these includes;

I. Commutative property: it applies to both multiplication and addition.

• For addition; A + B = B + A
• For multiplication; A.B = B.A

II. Associative property: it applies to both multiplication and addition.

• For addition; A + (B + C) = (A + B) + C
• For multiplication; A(BC) = (AB)C

III. Distributive property: it is formed using the product of a sum.

• A(B + C) = AB + AC

IV. Complement property: it involves a variable and its complement.

• For addition: A + A' = 1
• For multiplication; A.A' = 0

V. Identity property:

• For addition; A + 0 = A
• For multiplication; A.1 = A

In digital electronics, Boolean expressions are used to represent circuits which comprises of Boolean operations and as such simplifying any logic expression without changing or altering any of it's functionalities and properties based on given operations or variables.

Hence, Boolean Algebraic properties can lead to a simpler expression and thus a simpler circuit.