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Number systems
Fichas del conjunto (10)
- 1Natural NumberA natural number are integers that start from 0.
They can be referred to as counting numbers as they are used to increment values.
They are denoted as N. - 2Integer NumbersAn integer is a whole number (not a fractional number) that can be positive, negative or zero.
They are denoted a Z, is defined below:
Z = {..., -3, -2, -1, 0, 1, 2, 3} - 3Rational NumbersA rational number is one that can be defined as a fraction.
Fractions being made up of 2 integers, the value being the ratio between the two.
They are denoted as Q, and represents all the possible integer-to-natural-number ratios p/q. - 4Irrational numbersIrrational numbers are numbers that cannot be represented as fractions or ratios as the decimal will contain infinite repeating values.
- 5Real NumbersA real number is a positive or negative number with or without a fractional part.
Integers, rational and irrational numbers are all real numbers.
The defining feature of a real number is that the fractional part can be any length.
They are denoted as R - 6Ordinal NumbersOrdinal numbers are used to identify a position relative to other numbers.
For example when numbers are placed in a list they are used to tell there position - First, Second, Third.
They are often used with cardinal numbers, which identify the size of the list. - 7Unsigned binaryThis is the ‘normal’ binary system that we are used to working with.
It only allows you to work with positive binary numbers. Negative are not used in this. - 8Signed binarySigned binary number representation is a number system that allows both positive and negative numbers to be used.
Two’s complement is a number system that is recognised for binary. Allowing both positive and negative numbers to be represented. - 9Adding unsigned binary numbersAdd numbers is the same as long multiplication.
0+0=0
0+1=1
1+1=10
1+1+1=11
3==11
2==10 - 10Multiplying unsigned binary integersMultiplying the 1st number by each of the digits of the second number in turn starting from the right hand side.
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- A level Computing Fichas sobre Number systems, creado por Noah Barker el 06/09/2022.
- Creado por
- Noah Barker
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