Computer Studies Today Chapter 19 1 Chapter 19. Computer Studies Today Chapter 19 2 »Information stored in a computer is in two states: –ON –OFF.

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Presentation transcript:

Computer Studies Today Chapter 19 1 Chapter 19

Computer Studies Today Chapter 19 2 »Information stored in a computer is in two states: –ON –OFF

Computer Studies Today Chapter 19 3 »They are represented by the binary digits ‘1’ and ‘0’ respectively. »As the number of bits increases, the bit pattern is increased and more information can be stored.

Computer Studies Today Chapter 19 4

5 »Numbers can be represented in different number systems: –Denary number system –Binary number system

Computer Studies Today Chapter 19 6 –Octal number system –Hexadecimal number system

Computer Studies Today Chapter 19 7 »Digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are used to represent numbers. »It is a base-10 number system. »A number is formed by the combination of the digits, for example 21 10, ,

Computer Studies Today Chapter 19 8 Denary Numbers in Expanded Form The denary number in expanded form is:

Computer Studies Today Chapter 19 9 i.e = 4     10 0

Computer Studies Today Chapter The decimal fraction in expanded form is:

Computer Studies Today Chapter i.e = 2  10 –1 + 1  10 –2 + 3  10 –3

Computer Studies Today Chapter »Digits 0 and 1 are used to represent numbers. »It is a base-2 number system. »A number is formed by the combination of the digits, for example 10 2, 110 2,

Computer Studies Today Chapter Binary Numbers in Expanded Form The binary number in expanded form is:

Computer Studies Today Chapter i.e = 1     2 0

Computer Studies Today Chapter The binary fraction in expanded form is:

Computer Studies Today Chapter i.e = 1  2 –1 + 0  2 –2 + 1  2 –3 + 1  2 –4

Computer Studies Today Chapter »Digits 0, 1, 2, 3, 4, 5, 6 and 7 are used to represent numbers. »It is a base-8 number system. »A number is formed by the combination of the digits, for example 123 8, 470 8,

Computer Studies Today Chapter Octal Numbers in Expanded Form The octal number in expanded form is:

Computer Studies Today Chapter i.e = 3    8 0

Computer Studies Today Chapter »Digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and letters A, B, C, D, E, F are used to represent numbers. »It is a base-16 number system.

Computer Studies Today Chapter »A number is formed by the combination of the digits and the letters, for example 2C4D 16, A95 16.

Computer Studies Today Chapter Hexadecimal Numbers in Expanded Form The hexadecimal number 2C3D 16 in expanded form is:

Computer Studies Today Chapter i.e. 2C3D 16 = 2     16 0