Number Systems
Muhtasari
Every photo, song, message and game on a computer is, underneath, nothing but ones and zeros. A computer is built from millions of tiny switches, and a switch has only two states: on or off. Binary is the language those switches speak, and once you can read it you can see how any kind of data is really stored.
In this lesson you will convert fluently between denary, binary and hexadecimal, add binary numbers and spot when they overflow, shift bits to multiply and divide by two, and use two's complement to write negative numbers in binary. These are the most reliable marks in the whole paper because the method is fixed: learn it once and you can never be caught out.
Malengo
- 1 Understand how and why computers use binary to represent all forms of data
- 2 (a) Understand the denary, binary and hexadecimal number systems (b) Convert between (i) positive denary and positive binary (ii) positive denary and positive hexadecimal (iii) positive hexadecimal and positive binary
- 3 Understand how and why hexadecimal is used as a beneficial method of data representation
- 4 (a) Add two positive 8-bit binary integers (b) Understand the concept of overflow and why it occurs in binary addition
- 5 Perform a logical binary shift on a positive 8-bit binary integer and understand the effect this has on the positive binary integer
- 6 Use the two’s complement number system to represent positive and negative 8-bit binary integers
Maelezo ya Somo
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Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Number Systems. 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 denary value of the binary number 00011010? A. 24 B. 26 C. 28 D. 52 Answer: B
- Which hexadecimal value equals the binary number 11001001? A. C9 B. 9C C. CB D. B9 Answer: A
- A logical shift one place to the right has what effect on a positive binary number? A. multiplies it by 2 B. divides it by 2 C. adds 1 D. inverts the bits Answer: B
- Why do computers use binary to represent data? A. it stores more data than denary B. their switches have only two states C. it is the same as hexadecimal D. humans find it easy to read Answer: B
- An 8-bit register holds 11111111 and 1 is added. The result is: A. stored correctly as 256 B. an overflow error C. shifted left D. converted to hex Answer: B
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Vitabu Vinavyopendekezwa
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Number Systems? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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