Converting Between Number Bases
Muhtasari
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.
Malengo
- 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.
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Tathmini ya Somo
Hongera kwa kukamilisha somo la Converting Between Number Bases. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- 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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