# Number Systems.pptx

May. 27, 2023
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### Number Systems.pptx

• 2. Number Systems A Number System defines how a number can be represented using distinct symbols. When we type some letters or words, the computers translates them in numbers as computers can understand only numbers. Number systems are the technique to represent numbers in the computer system architecture, every value that you are saving or getting into/ from computer memory has a defined number system. Each number system is associated with a base or radix The decimal number system is said to be of base or radix 10
• 3. Number Systems… Number system can be categorized as Binary number system Decimal number system Octal number system Hexadecimal number system
• 4. Number Systems… Binary System (Base 2) The word binary is derived bini (two). In this system the base= 2 and we use only two digits {0,1}. Decimal System (Base 10) The word decimal is derived from Latin decem (ten). In this system the base= 10 and we use ten symbols {0,1,2,3,4,5,6,7,8,9}.
• 5. Number Systems… Octal System (Base 8) The word octal is derived from Latin octo (eight). In this system the base= 8 and we use ten symbols {0,1,2,3,4,5,6,7}. Hexadecimal System (Base 16) The word hexadecimal is derived from Latin hex (six) and decem (ten). In this system the base= 16 and we use sixteen symbols {0,1,2,3,4,5,6,7.8.9,A,B,C,D,E,F}. The symbols A,B,C,D,E,F are equivalent to 10,11,12,13,14,15 respectively.
• 7. Binary to Decimal Conversion
• 10. Decimal to Binary Conversion