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The document summarizes key concepts about number bases from Chapter 1 of a Mathematics Form 5 textbook. It discusses representing numbers in bases 2 (binary), 8 (octal), and 5 (quinary), including place value, expanded notation, and converting between different number bases.
A short introduction to bases. (note: throughout, square brackets indicate the greatest integer of the enclosed quantity) When we write the number 1251, we are expressing the quantity. 1 × 103 + 2 × 102 + 5 × 101 + 1 × 100. When we express a number in this way, we say that 10 is the base.
Introduction and Base 10. What does it mean to use base 10? It means that when we write a number, such as 639, the 9 is in the 1s place, the 3 is in the 10s place, and the 6 is in the 100s place. If we think of 1 = 100, 10 = 101, and 100 = 102 then we are saying: 639 = 6 102 + 3 101 + 9 100. In general a number in base 10 has the expression:
number bases - Free download as Word Doc (.doc), PDF File (.pdf) or read online for free. form 5 maths.
A number base is the number of digits or combination of digits that a system of counting uses to represent numbers. A base can be any whole number greater than 0. The most commonly used number system is the decimal system, commonly known as base 10.
Mathematics Form 5
1 Lecture 3: Number bases. Information in a computer is best visualized as a string of 1’s and 0’s. If the informa-tion is a number, it is natural to store the number using (perhaps a small modification of) base 2. Before going on, we recall how we represent numbers in different bases.
