Boolean Logic
Akopọ
Underneath every calculation a computer performs there are switches, and each switch can only be open or closed. Out of that one crude ingredient, arranged with enough care, comes arithmetic. This is not a metaphor. A circuit built from three kinds of gate, none of which knows anything about numbers, can be wired so that it adds two binary digits together and produces the right answer every time, and one such circuit appears on the specimen paper for this qualification.
This lesson gives you the three gates the specification examines, NOT, AND and OR, together with their truth tables. You will build truth tables for circuits made of combinations of them, interpret the results to work out what a circuit is actually for, write a Boolean expression that describes a circuit, and go the other way by designing a circuit that implements an expression. Everything here is small, exact and checkable, which makes it some of the most reliably scoreable content in the whole specification.
Awọn Afojusun
- Construct truth tables for the following logic gates:
- NOT
- AND
- OR. NOT AND OR Construct truth tables for simple logic circuits.
- Interpret the results of simple truth tables. Create, modify and interpret simple logic circuit diagrams.
- Be able to write a Boolean expression to represent a logic circuit and to draw a logic circuit that implements a Boolean expression.
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Oriire fun ipari ẹkọ lori Boolean Logic. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- Which gate gives an output of 1 only when both of its inputs are 1? A. NOT B. AND C. OR D. None of these Answer: B
- How many rows are needed in a truth table for a logic circuit with three inputs? A. 3 B. 4 C. 6 D. 8 Answer: D
- What is the output of an OR gate when both of its inputs are 0? A. 0 B. 1 C. It depends on the previous input D. The gate has no output Answer: A
- In the notation used by this specification, how is A AND B written? A. A + B B. A with a bar over it C. A and B joined by a dot D. A minus B Answer: C
- A circuit has output Q given by NOT A ANDed with B. What is Q when A = 1 and B = 1? A. 0 B. 1 C. Undefined D. It alternates Answer: A
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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Boolean Logic? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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