Oh, dude, in Boolean algebra, 1 plus 1 equals 1 because we're dealing with binary logic where everything is either true (1) or false (0). So, when you add two true values together, you still get true. It's like saying if you have two chocolate bars, you still end up with one chocolatey mess.
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In Boolean algebra, 1 represents true or high voltage, and 0 represents false or low voltage. The addition operation in Boolean algebra is equivalent to the logical OR operation. When we add 1 + 1 in Boolean algebra, it is the same as performing a logical OR operation on two true values, which results in a true value. Therefore, 1 + 1 equals 1 in Boolean algebra because the output is true when either input is true.
Well, isn't that just a happy little mistake! In Boolean algebra, 1 plus 1 equals 1 because we are working with a system where values can only be 0 or 1. When we add 1 and 1 together, the result goes beyond 1 and wraps back around to 1, like a circle of positivity and possibility. Just remember, in the world of Boolean algebra, even when things seem to add up differently, there's always a way to find beauty and balance in the equations.
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).
1 and 0
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.
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Boolean algebra generally deals with design of h/w circuits forms a basis of the computer scientists,since computers can understand only machine level language which is of zeros and one so understanding of boolean algebra is important i think.more over boolean algebra also deals with minimalization of the logic design which has considerably reduced the size of hardware so according to me each and every computer scientist shouldhave a basic understanding of boolean algebra.
You have Boolean operators (such as AND & OR) on variables, rather than mathematical operations (+ - etc). The variables can only have one of two states (values) though (True/False, on/off, 1/0).