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Codes

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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Codes

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  1. Codes • Octal Power • Hexadecimal • ASCII • BCD Code 83 82 81 80 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

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

  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: 1 1 1 710 and Octal range0-7 Example: 100111010= 100 111 010 Octal Values: 4 7 2

  4. Octal Conversion binary:Octal: 011 010 1102 3268  3 2 6  256 128 64 32 16 8 4 2 1 3 x 82 + 2 x 81 + 6 x 80

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

  6. Octal Addition 3458 +2368 =6038 Justification….. 3458=22910 and 2368=15810 22910+15810 = 38710 and 6038=3+6x64=38710

  7. BCD Addition 1000 + 1001 =0001 0111

  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 16Bytes.

  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 • 10001101 • 100100001001 • 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

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