1. Chapter 1  Number Systems Decimal System Binary System Octal System Hexadecimal System  Binary weighted cods Signed number binary order  1’s and 2’s complement  Codes Decimal codes  Binary arithmetic Arithmetic operation Floating point representation Binary Logic  Logic Cates

2. Number Systems Decimal Base 10 Numbers(0-9) Binary Base 2 Numbers (0,1) Octal Base 8 Numbers (0-7) Hexade cimal Base 16 Numbers (0-9) A,B,C,D,E,F

3. Conversions Decimal number Integer Binary Octal Hexa Fraction Binary Octal Hexa 101001 231 61 0.40651 0.6875 0.513 0.78125 0.1011 0.C8 41 153 97

4. Conversions Binary number Integer Decimal Octal Hexa Fraction Decimal Octal Hexa 105 673 3A5 0.40651 0.1011.001010100.11010001 0.6875 D1 1101001 110111011 1110100101

5. Binary Numbers Number of binary combinations If number of bit is 3 the number of binary combinations is:- N=3 2 Binary weighted codes 11110111 (LSB) (MSB)

6. Chapter 1 6 Decimal (Base 10) Binary (Base 2) Octal (Base 8) Hexadecimal (Base 16) 00 0000000 01 0000101 02 0001002 03 0001103 04 0010004 05 0010105 06 0011006 07 0011107 08 0100010 08 09 0100111 09 10 0101012 0A 11 0101113 0B 12 0110014 0C 13 0110115 0D 14 0111016 0E 15 0111117 0F 16 1000020 10 Good idea to memorize! Numbers in Different Bases