Number Bases
Gbogbo ọrọ náà
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.
Ebumnobi
- Understand the following number bases:
- decimal (base 10)
- binary (base 2)
- hexadecimal (base 16).
- Understand that computers use binary to represent all data and instructions.
- Explain why computers use binary to represent data and instructions Explain why hexadecimal is often used in computer science.
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
Mepee maapụ uche na ngwa
Akwụkwọ Ọmụmụ
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
Nweta ngwa Green Bridge CBT na ekwenti gi ma o bu kompiuta maka ulo akwukwo IGCSE zuru oke: akwukwo ule ndi gara aga, usoro nyocha, eserese uche, kaadi omumu na nkuzi olu.
Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Number Bases. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- How many different digits does the hexadecimal number system use? A. 2 B. 10 C. 15 D. 16 Answer: D
- What is the decimal value of the hexadecimal digit C? A. 11 B. 12 C. 13 D. 14 Answer: B
- 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
- 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
- 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
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Number Bases? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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