Question
Simplify Boolean algebra
f(X,Y,Z)=(X’Y+XZ)(X+Y’)
f(X,Y,Z)=(X’Y+XZ)(X+Y’)
Answers
Use the distributive properties:
(X’Y+XZ)(X+Y’)
=X(X’Y+XZ) + Y’(X’Y+XZ)
=(XX'Y + XXZ) + (X'YY' + XY'Z)
=(Y+XZ) + (X'+XY'Z) [XX'=YY'true, XX=X]
=Y + X' + XZ + XZY'
=Y + X' + XZ [XZ+XZY' = XZ (absorption)]
Now your turn to do some work:
check the above simplification using a truth table on the original expression, and the simplified version.
(X’Y+XZ)(X+Y’)
=X(X’Y+XZ) + Y’(X’Y+XZ)
=(XX'Y + XXZ) + (X'YY' + XY'Z)
=(Y+XZ) + (X'+XY'Z) [XX'=YY'true, XX=X]
=Y + X' + XZ + XZY'
=Y + X' + XZ [XZ+XZY' = XZ (absorption)]
Now your turn to do some work:
check the above simplification using a truth table on the original expression, and the simplified version.
Related Questions
Algebra 1
Simplify the radical
_____
5_/700
I'm confused on what to do with the 5...
simplify algebra expression
Algebra Readiness (Pre-Algebra) B unit 5 lesson 2
5 questions
Simplify algebra expressions practice
in algebra Simplify the expression. Please show your work (3i)(7i)
Boolean algebra is:(1 point)Responsesalgebra using hexadecimal numbers.algebra using hexadecimal num...
Boolean algebra is:(1 point)Responsesalgebra using hexadecimal numbers.algebra using hexadecimal num...
Boolean algebra is:
(1 point)
Responses
algebra using hexadecimal numbers.
algebra using h...
Boolean algebra is: (1 point)
algebra using hexadecimal numbers.
a collection of transistors....
Boolean algebra is:(1 point)Responsesalgebra using hexadecimal numbers.algebra using hexadecimal num...