Computer Science - 9210 OxfordAQA

Number Bases

Akopọ

You have ten fingers, so you count in tens, and so does everybody who has ever written a price or a date. There is nothing mathematically special about ten. It is an accident of anatomy, and the moment you notice that, the question changes from why would anyone count in twos to what would you count in if you were built out of switches.

This lesson covers the three number bases the specification names: decimal, base 10; binary, base 2; and hexadecimal, base 16. You will learn what a base actually is, why computers use binary to represent all data and instructions, why the same bit pattern can be a number, a letter, a pixel or part of a sound depending only on how it is read, and why hexadecimal is so often used in computer science. That last one has a trap in it that the specimen mark scheme explicitly rejects, and it is worth knowing before you write the obvious answer.

Awọn Afojusun

  1. Understand the following number bases:
  2. decimal (base 10)
  3. binary (base 2)
  4. hexadecimal (base 16).
  5. Understand that computers use binary to represent all data and instructions.
  6. Explain why computers use binary to represent data and instructions Explain why hexadecimal is often used in computer science.

Àwòrán ọpọlọ

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Akọ̀wé Ẹ̀kọ́

The base of a number system is how many different digits it uses, and therefore how much each place is worth compared with the one to its right.

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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.

  1. How many different digits does the hexadecimal number system use? A. 2 B. 10 C. 15 D. 16 Answer: D
  2. What is the decimal value of the hexadecimal digit C? A. 11 B. 12 C. 13 D. 14 Answer: B
  3. Which is the main reason computers use binary? A. Binary numbers are shorter than decimal ones B. Electronic components have two states that can be told apart reliably C. Binary uses less memory than decimal D. People find binary easier to read Answer: B
  4. Which answer would NOT be accepted as a reason for using hexadecimal instead of binary? A. It is easier to read B. It is quicker to type in C. It uses less memory D. It is less likely to be entered inaccurately Answer: C
  5. The bit pattern 01000001 is stored in memory. Which statement is correct? A. It must be the integer 65 B. It must be the character A C. It could be text, an image, a sound, an integer or an instruction D. It cannot be part of an image Answer: C

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