DLD

Logic Gates Timing Diagram

Logic Gates Timing Diagram The operation of a logic gate can also be represented with a timing diagram. Images below shows the output that results from three binary input signals for an AND gate, OR gate, and XOR gate respectively. Remember that the AND gate outputs a one only if all its inputs equal one, the OR gate outputs a one if any input equals …

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Introduction to Boolean algebra

Boolean algebra (or Boolean logic) is a logical calculus of truth values, developed by George Boole. It resembles the algebra of real numbers as taught in high school, but with the numeric operations of multiplication xy, addition x + y, and negation -x replaced, respectively, by the logical operations of conjunction x?y, disjunction x?y, and …

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Boolean algebra Symbols

Boolean algebra Symbols Analogous behavior can be shown between Boolean algebra and mathematical algebra, and as a result, similar symbols and syntax can be used. For example, the following expressions hold true in math. This looks like the AND function allowing an analogy to be drawn between the mathematical multiply and the Boolean AND functions. …

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Laws & Rules of Boolean algebra

Laws & Rules of Boolean algebra The manipulation of algebraic expressions is based on fundamental laws. Some of these laws extend to the manipulation of Boolean expressions. For example, the commutative law of algebra which states th at the result of an operation is the same regardless of the order of operands holds true for Boolean algebra too. This is shown …

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Adders

Adders Most mathematical operations can be handled with addition. For example, subtraction can be performed by taking the two’s complement of a binary value, and then adding it to the binary value from which it was to be subtracted. Two numbers can be multiplied using multiple additions. Counting either up or down (incrementing or decrementing) can be …

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De-Multiplexers

De-Multiplexers The previous section described how multiplexers select one channel from a group of input channels to be sent to a single output. Demultiplexers take a single input and select one channel out of a group of output channels to which it will route the input. It’s like having multiple printers connected to a computer. A document can only …

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