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Data Storage & Representation How data is stored in the Computer
Data As you may recall data is raw facts that cannot take the form of letters, numbers, text , sound and images. There are two types of data Discrete  Data DATA Continuous  Data
DECIMAL  NUMBER  SYSTEM Before we explain the concept of the binary system, let us review the number system we are familiar with.  Our decimal number system consists of ten digits: 0,1,2,3,4,5,6,7,8,9 and for this reason it is referred to as the base 10 number system or denary. The base of any number may be indicated as a subscript on the extreme right of the number e.g.45510
Types of numbers in the denary system Natural numbers or whole numbers such as -1,2,3,10,108 etc. Integers are numbers that have no fractional parts and are either positive or negative. -19,88,-9etc. Real numbers are numbers with a decimal point or include a fractional part. 10.8, -8.9 etc The magnitude of  a number refers to how large a number is. It does not depend on the sign of a number. E.gthe magnitude of -10 and 10 is 10.
Binary Addition To Lean 5 binary sums Octal number system Hexadecimal number system Binary subtraction
Representing Signed Numbers Signed numbers are both positive and negative integers. (an integer is a whole number with no fractional part) Ways of representing signed numbers are Sign and magnitude One’s complement Two’s complement Binary coded decimal
Sign & Magnitude representation The leftmost bit is used to represent the sign (positive or negative) and the remaining bits represent the magnitude. A ‘0’ sign bit indicates that the number is positive. A ‘1’ sign bit indicates that the number is negative. 		00101101 Sign bit magnitude
4 bit binary representation of the decimal system The range of numbers that can be represented using four bits is -7 to +7

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Data storage & representation

  • 1. Data Storage & Representation How data is stored in the Computer
  • 2. Data As you may recall data is raw facts that cannot take the form of letters, numbers, text , sound and images. There are two types of data Discrete Data DATA Continuous Data
  • 3.
  • 4.
  • 5.
  • 6. DECIMAL NUMBER SYSTEM Before we explain the concept of the binary system, let us review the number system we are familiar with. Our decimal number system consists of ten digits: 0,1,2,3,4,5,6,7,8,9 and for this reason it is referred to as the base 10 number system or denary. The base of any number may be indicated as a subscript on the extreme right of the number e.g.45510
  • 7. Types of numbers in the denary system Natural numbers or whole numbers such as -1,2,3,10,108 etc. Integers are numbers that have no fractional parts and are either positive or negative. -19,88,-9etc. Real numbers are numbers with a decimal point or include a fractional part. 10.8, -8.9 etc The magnitude of a number refers to how large a number is. It does not depend on the sign of a number. E.gthe magnitude of -10 and 10 is 10.
  • 8. Binary Addition To Lean 5 binary sums Octal number system Hexadecimal number system Binary subtraction
  • 9. Representing Signed Numbers Signed numbers are both positive and negative integers. (an integer is a whole number with no fractional part) Ways of representing signed numbers are Sign and magnitude One’s complement Two’s complement Binary coded decimal
  • 10. Sign & Magnitude representation The leftmost bit is used to represent the sign (positive or negative) and the remaining bits represent the magnitude. A ‘0’ sign bit indicates that the number is positive. A ‘1’ sign bit indicates that the number is negative. 00101101 Sign bit magnitude
  • 11. 4 bit binary representation of the decimal system The range of numbers that can be represented using four bits is -7 to +7