Category: Number Systems
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Cyclicality of unit digit of a^n
Revision Notes 1. What determines the unit digit of an? Unit digit of any an depends on just the ‘unit digit of a’ (and the rest of the digits of a can be safely ignored) and on n. As n assumes values 1, 2, 3, 4, ……. , the unit digit of an follows a cycle of…
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Divisibility Rules
Revision Notes 1. Divisibility by 2n i.e. by 2, 4, 8, 16, …. When a given number is divided by 2n, the remainder will be same as the remainder when just the last n digits is divided by 2n. If the last n digits, when divided by 2n leaves a remainder of 0 i.e. is completely divisible, then…
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Num Sys – Classification
Revision Notes 1. 0 is a Whole number but not a Natural number. Thus if we need Whole Number solution to 3x + 4y = 24, then (x = 0 and y = 6) is an acceptable solution, but if we needed Natural Number solution to the same equation, then (x = 0 and y…