Digital Logic Lecture 4 Binary Codes The Hashemite University Computer Engineering Department.
DIGITAL LOGIC DESIGN TOPIC: NUMBER SYSTEMS OPERATIONS AND CODES:
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Transcript of DIGITAL LOGIC DESIGN TOPIC: NUMBER SYSTEMS OPERATIONS AND CODES:
DIGITAL LOGIC DESIGNTOPIC:
NUMBER SYSTEMS OPERATIONS AND CODES:
The number system that we use in our day-to-day life is the decimal number system.
Common Number Systems
System Base SymbolsUsed by humans?
Used in computers?
Decimal 10 0, 1, … 9 Yes No
Binary 2 0, 1 No Yes
Octal 8 0, 1, … 7 No No
Hexa-decimal
16 0, 1, … 9,A, B, … F
No No
• The number the numeral represents is called its value.
• Ideally, a numeral system will:• Represent a useful set of numbers (e.g. all integers, or
rational numbers)• Give every number represented a unique
representation (or at least a standard representation)• Reflect the algebraic and arithmetic structure of the
numbers.
BOARD WORKBINARY TO DECIMAL CONVERSIONS
(some new methods of digit representations )
SUMMARY # 04:(TASKS)
I. Determine the value of each digit in 9699.II. Determine the value of each digit in 678.924.III. Convert the binary number 100100010 to
decimalIV. Convert the binary number to decimal. V. (a)10.111 (b)10111101.011VI. Read lecture 4 explain decimal no systems