Computer Science - 9210 OxfordAQA

Binary Arithmetic

Muhtasari

A processor cannot do arithmetic the way you were taught it at primary school, because it has no digits from 2 to 9 to work with. It has 0 and 1, and out of those two symbols and one rule about carrying it builds every sum, every difference, every price total and every frame of every game you have ever played. The surprising part is how small that rule is: binary addition has four cases, and you already know three of them.

This lesson teaches you to add two binary numbers by hand and to shift a binary number left or right, which is the trick a processor uses to multiply and divide by powers of two at almost no cost. You will also learn what gets thrown away when a shift runs off the end of an eight bit register, because knowing what a shift destroys is what separates a candidate who can perform one from a candidate who can be trusted to use one.

Malengo

  1. Be able to add together two binary numbers.
  2. Be able to apply a binary shift to a binary number.
  3. Describe situations where binary shifts can be used.

Ramani ya mawazo

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Maelezo ya Somo

Column addition in denary works by adding one column at a time from the right, writing down a single digit and carrying anything that will not fit into the next column left. Binary addition works in precisely the same way. The only difference is that a binary column overflows much sooner, because the largest digit available is 1.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Binary Arithmetic. 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.

  1. In binary addition, what is written down and what is carried when a column contains 1 + 1? A. Write 1, carry 0 B. Write 0, carry 1 C. Write 2, carry 0 D. Write 1, carry 1 Answer: B
  2. What is 00001100 + 00000110 in binary? A. 00010010 B. 00010100 C. 00001110 D. 00011000 Answer: A
  3. A logical left shift of 1 place has what effect on the denary value of a binary number? A. Halves it B. Doubles it C. Adds 1 to it D. Leaves it unchanged Answer: B
  4. The binary number 00011000 is given a logical right shift of 2 places. What is the result? A. 00000110 B. 01100000 C. 00001100 D. 00000011 Answer: A
  5. Which calculation can be carried out using a single binary shift? A. Multiply by 10 B. Multiply by 16 C. Multiply by 3 D. Multiply by 100 Answer: B

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Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Binary Arithmetic? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.

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