Computer Science - 4CP0 PearsonEdexcel

Logic

Bayani Gaba-gaba

A burglar alarm that only sounds when a window is open AND the system is armed, OR when the panic button is pressed, is making a decision with exactly the same building blocks that control billions of transistors inside a CPU. Every decision a digital circuit makes, however complicated it looks from the outside, is built from a tiny handful of logic gates combining binary inputs into a binary output.

In this lesson you will learn what the AND, OR and NOT gates do and how the derived XOR gate is built from them, how to write Boolean expressions for a logic statement, how to build a complete and correct truth table for any expression, and how to turn a real-world problem into a logic statement of your own.

Manufura

Be able to construct and interpret truth tables for a given logic statement (AND, OR, NOT)
Be able to produce logic statements for a given problem

Taswirar tunani

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Katunan tunawa

Gwaji mai sauri kan abin da ake jarraba a wannan batu.

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Takardar Darasi

A logic gate takes one or more binary inputs (each either 0 or 1) and produces a single binary output, based on a fixed rule. A Boolean expression is the written form of that rule, combining input names with the operators AND, OR and NOT. Three gates form the basis of every digital circuit.

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Nazarin Darasi

Barka da kammala darasi akan Logic. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

Which Boolean operator produces an output of 1 only when both of its inputs are 1? A) OR B) NOT C) AND D) XOR Answer: C
How many rows does a complete truth table need for a logic statement with 3 inputs? A) 3 B) 6 C) 8 D) 9 Answer: C
For inputs A=1 and B=0, what is the output of X = A XOR B? A) 0 B) 1 C) Undefined D) 2 Answer: B
Which gate takes only one input? A) AND B) OR C) NOT D) XOR Answer: C
In standard binary counting order, what are the four input rows for a 2-input truth table (A then B)? A) 11, 10, 01, 00 B) 00, 01, 10, 11 C) 00, 10, 01, 11 D) 01, 10, 00, 11 Answer: B

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