mattskie said:Homework Statement
Show that F=wy'z+x'y'z+w'xy+wx'y+wxy = y'z+yw+yx
Homework Equations
Boolean Algebra..
The Attempt at a Solution
F=y'z(x+x') + yw(x+x') + w'xy
=> y'z+yw+w'xy
=> y'z + y(w+w'x)
=> y'z + y + yw <-----stuck here what do i do? Not sure if this step is right either...
Boolean algebra is a mathematical system used to analyze and manipulate logical statements. It is based on the principles of binary logic, where values can only be true or false.
The basic operations in Boolean algebra are AND, OR, and NOT. These operations are used to combine logical statements and determine their truth values.
Boolean algebra is used in computer science to represent and manipulate digital signals. It is also used in computer programming to create conditional statements and control flow in algorithms.
A truth table is a visual representation of all possible combinations of inputs for a logical statement, along with the resulting output. It is commonly used to evaluate the truth values of more complex logical expressions.
Boolean algebra can be applied in everyday life in decision-making and problem-solving. It can help in evaluating the validity of arguments, making logical deductions, and creating efficient systems and processes.