Information about Introduction to boolean algebra

1 + 1 = 1. DUH! Boolean Algebra, one of the backbones of computing. By http://www.mediotype.com - Unlock the power of math and get ready for computer wizardry.

Order of operations Please Excuse My Dear Aunt Sally PEMDAS Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (4+2-1*5) + 3*2 = ? 2*2/4 = ? M

A Quick Word On Variables var·i·a·ble /ˈve(ə)rēəbəl/ Noun: An element, feature, or factor that is liable to vary or change. M

A Quick Word On Variables (cont) Variables In algebraic expressions, letters represent variables. These letters are actually numbers in disguise. In this expression, the variables are x and y. We call these letters "variables" because the numbers they represent can vary—that is, we can substitute one or more numbers for the letters in the expression. M

A Quick Word On Variables (cont) Algebra 3 + x = 10 -3 -3 x = 10 - 3 x=7 It's a place holder. M

Questions? diveinto@mediotype.com M

Basic Operations AND x∧y = x*y $x AND $y $x && $y x∧y • • • OR x∨y = x + y - x*y x OR y x || y x∨y • • • NOT ¬x = 1 - x !$x ¬x • • M

Basic Operations AND x∧y = x*y $x AND $y $x && $y x∧y • • • OR x∨y = x + y - x*y x OR y x || y x∨y • • • NOT ¬x = 1 - x !$x ¬x • • M

AND, &&, ∧ Truth table x∧y = x*y M

OR, ||, ∨ Truth table x∨y = x + y - x*y M

NOT, !, ¬ Truth table ... or is it ¬x = 1 - x M

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1. TRUE AND TRUE = ? 2. !TRUE || FALSE = ? 3. (FALSE OR FALSE) AND TRUE = ? 4. !TRUE = ? 5. TRUE && TRUE && FALSE = ? 6. TRUE ∧ FALSE ∨ TRUE = ? 7. (TRUE AND TRUE) AND (TRUE OR FALSE) = ? 8. ¬FALSE ∨ FALSE = ? Exercise M

Derived operations NOR !($x) OR $y x → y = (¬x ∨ y) • • XNOR !(x XOR y) x ≡ y = ¬(x ⊕ y) • • XOR $x XOR $y x ⊕ y = (x ∨ y) ∧ ¬(x ∧ y) • • M

NOR, → Truth table x → y = (¬x ∨ y) M

XOR, ⊕ Truth table x ⊕ y = (x ∨ y) ∧ ¬(x ∧ y) M

XNOR, ≡ Truth table x ≡ y = ¬(x ⊕ y) M

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1. TRUE XOR TRUE = ? 2. ¬TRUE ⊕ FALSE = ? 3. (FALSE ∨ FALSE) ≡ TRUE = ? 4. TRUE → FALSE = ? 5. TRUE XOR TRUE XNOR FALSE = ? Exercise M

Mathematical rules are based on the defining limits we place on the particular numerical quantities dealt with. When we say that 1 + 1 = 2 or 3 + 4 = 7, we ...

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Lecture 1: An Introduction to Boolean Algebra The operation of almost all modern digital computers is based on two-valued or binary systems. Binary systems

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Steven Givant - Introduction to Boolean Algebras (Undergraduate Texts in Mathematics) jetzt kaufen. ISBN: 9781441923240, Fremdsprachige Bücher - Logik

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Steven Givant, Paul Halmos - Introduction to Boolean Algebras - 2009 - Buchhandel.de - Bücher lokal kaufen

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1 + 1 = 1 An Introduction to Boolean Algebra and Switching Circuits was originally published by Williamsville Publishing Company as part of their popular ...

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Provides a friendly introduction to Boolean algebras; Includes hundreds of exercises and a solutions manual; Contains background chapters on topology and ...

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Boolean Rings.- Boolean Algebras.- Boolean Algebras Versus Rings.- The Principle of Duality.- Fields of Sets.- Elementary Relations.- Order.- Infinite ...

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An introduction to digital logic circuits in electrical engineeering ... Introduction - Why Do You Want to Learn This ... Learn Boolean algebra for logic ...

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