2. CONVERSION OF NUMBER SYSTEMS FAHEEM ANWAR MANAGER NETWORKS ACADEMY PTCL ACADEMY

3. NUMBER SYSTEMS Many Numbers systems exist: o Binary ( 0,1) o Decimal (0,1,2,3,4,5,6,7,8,9) o Octal (0,1,2,3,4,5,6,7) o Hexadecimal (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F)

4. NUMBER CONVERSION Binary to Decimal Conversion Decimal to Binary Conversion

5. Binary to Decimal Conversion EXAMPLE: 1 Convert 101101 Binary number in to Decimal Number 1 0 1 1 0 1 32 + 0 + 8 + 4 + 0 + 1 = 45 1111 = 8+4+2+1= 15 100111 = 32+0+0+4+2+1= 39

6. Binary to Decimal Conversion EXAMPLE: 2 Convert 11111111 Binary number in to Decimal Number 1 1 1 1 1 1 1 1 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255

7. Decimal to Binary Conversion EXAMPLE: 3 Convert 59 Decimal number in to Binary Number 00111011 So the Number is 111011

8. Decimal to Binary Conversion EXAMPLE: 4 Convert 191 Decimal number in to binary Number 10111111 So the Number is 10111111

9. CONCLUSION There are numerous methods of Binary-Decimal Number conversion Simplest method Conversion up to 8 Binary digits Maximum Decimal number is 255 For a Decimal Number greater than 255, a 9 th bit is required Every next Bit added Doubles the combinations