Veda Bites are swipeable micro-lessons — each one teaches exactly one
idea. Here's a taste from this kit; the app has the full deck.
💡 Key Idea
What makes it an algorithm
A procedure so precise that no step needs judgement.
An algorithm is a step-by-step procedure that arrives at an answer. What makes it an algorithm rather than a hint is precision: each step says exactly what to do, so nothing is left to judgement.
↳ An algorithm can be followed without deciding anything.
⚙️ Process
The five steps
Align, add, carry, repeat, finish.
↳ Step 5 is the one people forget.
➗ Formula
When the carry fires
Ten or more in a column, and never 2.
If a column totals less than ten, write the total and set the carry to 0. If it reaches ten or more, write the units digit and set the carry to 1. The largest a column can be is $9+9+1=19$, so one new group of ten is the most that can ever form.
↳ A column reaches at most 19.
💡 Key Idea
gcd and hcf are the same thing
Two names for one number.
The greatest common divisor of two numbers and their highest common factor are the same number. This topic finds it straight from the definition rather than from prime factors.
↳ Greatest divisor, highest factor.
⚙️ Process
Divisors of a number, in two steps
Start empty, test everything, append on discovery.
↳ The list comes out sorted for free.
✏️ Example
Executing it on 18
Six divisors, eighteen tests.
↳ The list only ever grows.