Computer Science - 9210 OxfordAQA

Converting Between Number Bases

Akopọ

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.

Awọn Afojusun

  1. 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:
  2. binary and decimal
  3. binary and hexadecimal
  4. decimal and hexadecimal.

Àwòrán ọpọlọ

A ti ṣe àwòrán kókó yìí kí o lè rí bí àwọn èrò ṣe so pọ̀.

Ṣí àwòrán ọpọlọ nínú áàpù

Akọ̀wé Ẹ̀kọ́

The specification asks you to be able to convert in both directions between three pairs of bases, which is six conversions in all. They are not equally hard, and knowing which is which saves time.

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Oriire fun ipari ẹkọ lori Converting Between Number Bases. 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.

  1. What is the decimal number 37 in binary? A. 00100101 B. 00101001 C. 00110101 D. 01001010 Answer: A
  2. What is the binary number 11001010 in hexadecimal? A. AC B. C9 C. CA D. DA Answer: C
  3. What is the hexadecimal number 2B in decimal? A. 22 B. 41 C. 43 D. 47 Answer: C
  4. How many bits does one hexadecimal digit correspond to? A. 2 B. 4 C. 8 D. 16 Answer: B
  5. 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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