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