1. DIGITAL LOGIC DESIGN TOPIC: NUMBER SYSTEMS OPERATIONS AND CODES:

2. The number system that we use in our day-to-day life is the decimal number system.

10. Common Number Systems SystemBaseSymbols Used by humans? Used in computers? Decimal100, 1, … 9YesNo Binary20, 1NoYes Octal80, 1, … 7No Hexa- decimal 160, 1, … 9, A, B, … F No

11. 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) integersrational numbers Give every number represented a unique representation (or at least a standard representation) Reflect the algebraic and arithmetic structure of the numbers.

12. BOARD WORK BINARY TO DECIMAL CONVERSIONS (some new methods of digit representations )

13. 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 decimal IV.Convert the binary number to decimal. V. (a)10.111 (b)10111101.011 VI.Read lecture 4 explain decimal no systems