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Published byRandolf Skinner Modified about 1 year ago

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**Codes Octal Power Hexadecimal ASCII BCD Code 83 82 81 80**

A B C D E F

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**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

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**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:

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**Octal Conversion binary: Octal: 011 010 1102 3268 **

3 x x x 80

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Binary Addition 1110 1410 10111110 110 012510 1001 1110 101011 110110

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**Octal Addition 3458 +2368 =6038 Justification…..**

3458= and 2368=15810 = 38710 and 6038=3+6x64=38710

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BCD Addition =

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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.

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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?

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**Assignment 1 Convert binary into decimals:**

10110 Convert decimal into Binary: 37 14 189

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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

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Data Representation, Number Systems and Base Conversions

Data Representation, Number Systems and Base Conversions

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