Converting Between Number Bases
Gbogbo ọrọ náà
The specimen paper opens with two questions worth one mark each. Convert 107 to binary. Convert 10011100 to hexadecimal. There is no working to award marks for and no partial credit to hope for: the answer is right or it is not, and no calculator is allowed on either paper. Conversions are the cheapest marks on this qualification and the easiest to throw away.
This lesson covers all six conversions the specification requires, in both directions between binary and decimal, between binary and hexadecimal, and between decimal and hexadecimal. You will learn a reliable method for each, a check for each, and the reason one pair of them is trivially easy while the other two need real work. Everything here stays inside the range the specification fixes: decimal 255, binary 1111 1111 and hexadecimal FF, which are the same whole number written three ways.
Ebumnobi
- Understand how binary can be used to represent whole numbers. Understand how hexadecimal can be used to represent whole numbers. Be able to convert in both directions between:
- binary and decimal
- binary and hexadecimal
- decimal and hexadecimal.
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
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Akwụkwọ Ọmụmụ
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Converting Between 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.
- What is the decimal number 37 in binary? A. 00100101 B. 00101001 C. 00110101 D. 01001010 Answer: A
- What is the binary number 11001010 in hexadecimal? A. AC B. C9 C. CA D. DA Answer: C
- What is the hexadecimal number 2B in decimal? A. 22 B. 41 C. 43 D. 47 Answer: C
- How many bits does one hexadecimal digit correspond to? A. 2 B. 4 C. 8 D. 16 Answer: B
- What is the largest decimal value that can be represented using 8 bits? A. 128 B. 255 C. 256 D. 512 Answer: B
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Akwụkwọ A Na-atụ Aro
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Converting Between Number Bases? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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