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Codes  Octal  Power  Hexadecimal  ASCII  BCD Code 8 3 8 2 8 1 8 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 A B C D E F.

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Presentation on theme: "Codes  Octal  Power  Hexadecimal  ASCII  BCD Code 8 3 8 2 8 1 8 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 A B C D E F."— Presentation transcript:

1 Codes  Octal  Power  Hexadecimal  ASCII  BCD Code A B C D E F

2 Code conversions Decimal to Octal Similar to Dec-to Binary: Start dividing by 8 and build Octal figures from Remainders: =

3 Code conversions Binary –to-Octal 3 bits of binary could provide weight of 8 10, that is equivalent to Octal;i.e: Bits: b2b1b0 Wts:421 Bin: 111  7 10 and Octal range 0-7 Example: = Octal Values: 4 7 2

4 Octal Conversion binary:Octal:   x x x 8 0

5 Binary Addition 1110   

6 Octal Addition =603 8 Justification… = and = = and =3+6x64=387 10

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 1. What is the largest decimal value that can be represented in a binary using two bytes? 2. How many bytes are needed to represent the decimal value of 846,569 in BCD?

10 Assignment 1 1. Convert binary into decimals: Convert decimal into Binary:

11 Assignment 1 3. What is the largest decimal value that can be represented by an eight-bit binary number? 4. Convert each Octal into Binary:


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