Muhammad Anas Khan Jamati's video: CS101 - Introduction to Computing Lecture 08

Binary Numbers & Logic Operations 1.To become familiar with number system used by the microprocessors - binary numbers To become able to perform decimal-to-binary conversions To understand the NOT, AND, OR and XOR logic operations – the fundamental operations that are available in all microprocessors Binary (Base 2) number system consists of just two digits 0,1 Decimal (Base 10) number system consists of ten symbols or digits 0,1,2,3,4,5,6,7,8,9 Other popular number systems Octal base = 8 8 symbols (0,1,2,3,4,5,6,7) Hexadecimal base = 16 16 symbols (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F) Because this system is natural for digital computers The fundamental building block of a digital computer – the switch – possesses two natural states, ON & OFF. It is natural to represent those states in a number system that has only two symbols, 1 and 0, i.e. the binary number system In some ways, the decimal number system is natural to us humans. Why? Bit stands for Binary Digit Byte = 8 Bits