Why 1 plus 1 equals 1 in Boolean algebra?

Updated: 4/28/2022
User Avatar

Wiki User

11y ago

Best Answer

In Boolean algebra, 1 + 1 is not "1 plus 1", it is "1 or 1". Since 1 is like true and 0 is like false, this is like asking "of the two values 1 and 1, is one of them a 1?", or asking "of the to values true and true, is one of them true?". Because there is at least one 1, the expression is 1 (true).

Other examples:

1 + 0 = 1 (There is at least one 1).

0 + 0 = 0 (There is no 1).

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why 1 plus 1 equals 1 in Boolean algebra?
Write your answer...
Still have questions?
magnify glass
Related questions

Why 1 plus 1 equals 1 in OR gate whereas 1 plus 1 equals 0 carry 1?

Because the 'plus sign' ( + ) in Boolean algebra does not mean the same thing as it does in arithmetic. In the shorthand of Boolean logic operations, the plus sign is used to mean ' OR ' .

According to the Boolean algebra 1 plus A plus B plus C is equal to?

1. With boolean algebra, 1 + n is always equal to 1, no matter what the value of n is.

What is boolean algebra 1 called?

Most likely it is called BOOLEAN ALGEBRA I.

What are the different elements of Boolean algebra?

The prototypical Boolean algebra; i.e. the Boolean algebra defined over the Boolean domain, has two elements in it: 0 and 1. For more information about Boolean algebra, please refer to the related link below.

1 plus 1 equals 2 in case you know that?

1 plus 1 equals 1 (in Boolean logic) 1 plus 1 equals 10 (in base 2)

What is boolean alzebra?

If you mean boolean algebra, in mathematics it refers to the subarea of algebra. In boolean algebra the values of the variables are based on true and false (truth values), denoted as 0 and 1 respectively.

What numbers are used in Boolean algebra?

Boolean algebra uses the numbers 0 and 1 to represent statements which are False and True respectively.

What number system does boolean algebra use?

1 and 0

What are the importance of boolean algebra?

Boolean algebra is an area of algebra in which variables are replaced with 1 or 0 to indicate true or false. This form of algebra became the basis for binary computer programming used in digital electronic development.

What is the importance of boolean algebra to computer students?

Boolean algebra is the very basis for all of computing. Boolean algebra results in only 2 answers, true or false. To computers, these are represented by 0 and 1. This creates the binary system, which is how all computers operate.

What is boolean algebra?

Boolean algebra differs in a major way from ordinary algebra in that boolean constants and variable are allowed to have only two possible values 0 or 1. A Boolean variable is a quantity that may at different times be equal to either 0 or 1. Boolean algebra is used to express the effects that various digital circuits have on logic inputs, and to manipulate logic variable for the purpose of determination of the best method for performing a given circuit function. Because of possibility of only two variables boolean algebra is relatively easy to work with as compared to ordinary algebra. It have only 3 basic operations: 1. Logical Addition- OR 2. Logical Multiplication- AND 3. Logical Complimentation- NOT

ALGEBRA- 1 plus 9 plus 25 equals 41?

1+9+25=35 not 41, this is a false statement