1. Codes Octal Power Hexadecimal ASCII BCD Code 83 82 81 80
A B C D E F

2. Code conversions Similar to Dec-to Binary: Start dividing by 8
Decimal to Octal
Similar to Dec-to Binary:
Start dividing by 8
and build Octal figures from Remainders:
24010=3608 8
240 30 3 6

3. Code conversions Binary –to-Octal
3 bits of binary could provide weight of 810, that is equivalent to Octal;i.e:
Bits: b2 b1 b0
Wts: 4 2 1
Bin:  710 and Octal range 0-7
Example: =
Octal Values:

4. Octal Conversion  binary: Octal: 011 010 1102 3268  
3 x x x 80

5. Binary Addition
1110 1410
10111110
110 012510
1001
1110
101011
110110

6. Octal Addition 3458 +2368 =6038 Justification…..
3458= and 2368=15810
= 38710
and 6038=3+6x64=38710

7. BCD Addition =

8. Byte
Most computers handle and store binary data and information in groups of eight bits, so a special name is given to a string of 8 bits..Byte.
A Byte therefore always consists of eight bits data. A 32 bits data has 4 Bytes of data and similarly 128 bits of data has 16 Bytes.

9. Questions
What is the largest decimal value that can be represented in a binary using two bytes?
How many bytes are needed to represent the decimal value of 846,569 in BCD?

10. Assignment 1 Convert binary into decimals:
10110
Convert decimal into Binary: 37 14
189

11. Assignment 1
What is the largest decimal value that can be represented by an eight-bit binary number?
Convert each Octal into Binary:
743
256
1204