BINARY-CODES

Introduction to Binary Codes

• Presentation by Group 2

• Overview of Binary Codes

Origins of Binary Codes

• Inventor: Gottfried Wilhelm Leibniz

  • Year: 1679

  • Conceptualized binary code as part of philosophy and mathematics.

  • Purpose: To represent all numbers using only two symbols: 0 and 1.

Definition of Binary

• Binary System:

  • Also known as the Base 2 number system.

  • Numeric values represented by combinations of 0s and 1s.

  • Equivalent to OFF (0) and ON (1).

  • Simplest form of computer code and programming data.

Understanding Binary Code

• Bit Definition:

  • Binary - (bit): Minimum unit of binary information in a computer.

  • States: Can only be ON (1) or OFF (0).

Functionality of Binary Numbers

• Primary Language of Computing: Binary system as the core language in computers.

• Binary Number Composition: Consists of a series of eight bits, known as a byte.

• Positional Value: The position of each bit determines its decimal value, allowing for conversion from binary to decimal.

Reading Binary Code

• Binary Values:

  • Positions: 128, 64, 32, 16, 8, 4, 2, 1

  • Example: 01101000 corresponds to sequence of ON/OFF states.

Operations in Binary Math

Binary Addition

• Process: Adding two binary numbers.

  • Similar to decimal addition.

  • Carrying over occurs if the sum exceeds 1 (2 in decimal).

Binary Subtraction

• Process: Subtracting binary numbers.

  • Follows arithmetic subtraction rules, using only 0s and 1s.

Conversion from Binary to Decimal

• Importance: Essential for interpreting binary data into human-readable decimal format.

• Requires understanding of conversion methods based on binary numeral representation.