Computer Science - 9210 OxfordAQA

Arithmetic Operations In A Programming Language

Bayani Gaba-gaba

A vending machine has 287 cents to give back and a hopper of coins. It cannot hand over 2.87 of anything. It has to work out how many dollars, then how many fifties, then how many twenties, and it does that with two operations that a calculator does not have a button for: whole-number division, and the remainder that whole-number division leaves behind. Almost every time a program has to split a quantity into units, those two do the work.

This lesson covers the five arithmetic operations the specification names: addition, subtraction, multiplication, real division, and integer division including remainders. Four of them behave exactly as they do in mathematics. The fifth is the one that earns marks and solves problems, and the specification devotes its whole additional-information column to explaining it. You will learn what DIV and MOD produce, why the pair of them is usually used together, and the handful of standard tricks that MOD makes possible.

Manufura

  1. Be familiar with and be able to use:
  2. addition
  3. subtraction
  4. multiplication
  5. real division
  6. integer division, including remainders.

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Takardar Darasi

The specification requires you to be familiar with and able to use addition, subtraction, multiplication, real division, and integer division including remainders. The first four hold no surprises: they mean what they mean in arithmetic, and in pseudocode they are written with the ordinary symbols.

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  1. What is the value of 23 DIV 4? A. 3 B. 5 C. 5.75 D. 6 Answer: B
  2. What is the value of 23 MOD 4? A. 0 B. 1 C. 3 D. 5 Answer: C
  3. Which expression tests whether the integer N is a multiple of 3? A. N DIV 3 = 0 B. N MOD 3 = 0 C. N / 3 = 0 D. 3 MOD N = 0 Answer: B
  4. What is the value of 5 + 10 DIV 5? A. 3 B. 7 C. 11 D. 15 Answer: B
  5. A variable Turn holds 2 and is updated by Turn ← (Turn + 1) MOD 3. What does it hold afterwards? A. 0 B. 1 C. 2 D. 3 Answer: A

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