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CCNA Math Practice-Binary Octets

CCNA Math Practice-Binary Octets. Practice your CCNA Math by using these slides as flash cards -Binary edition-. Common Binary to Decimal Conversions. 00000001 0000 0001 1 * 2^0= ? This looks a bit odd… The Answer is: 1. Common Binary to Decimal Conversions. 00000010 0000 0010

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CCNA Math Practice-Binary Octets

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  1. CCNA Math Practice-Binary Octets Practice your CCNA Math by using these slides as flash cards -Binary edition-

  2. Common Binary to Decimal Conversions • 00000001 • 0000 0001 • 1 * 2^0= ? • This looks a bit odd… • The Answer is: • 1

  3. Common Binary to Decimal Conversions • 00000010 • 0000 0010 • 1 * 2^1= ? • As small as even can be… • The Answer is: • 2

  4. Common Binary to Decimal Conversions • 00000100 • 0000 0100 • 1 * 2^2= ? • Two squared is… • The Answer is: • 4

  5. Common Binary to Decimal Conversions • 00001000 • 0000 1000 • 1 * 2^3= ? • The next step up would be 16… • The Answer is: • 8

  6. Common Binary to Decimal Conversions • 00010000 • 0001 0000 • 1 * 2^4= ? • 256 / 16 = ? • Four Squared • The Answer is: • 16

  7. Common Binary to Decimal Conversions • 00100000 • 0010 0000 • 1 * 2^5= ? • 2 * 16 = ? • Third largest bit value for a byte • The Answer is: • 32

  8. Common Binary to Decimal Conversions • 01000000 • 0100 0000 • 1 * 2^6= ? • 256 / 4 = ? • Second largest bit value for a byte • The Answer is: • 64

  9. Common Binary to Decimal Conversions • 10000000 • 1000 0000 • 1 * 2^7= ? • 256 / 2 = ? • The Answer is: • 128 • Class B Subnets w/9 bits: • 510 Useable Subnets (Class B w/ 9 bits subnetting) and 126 hosts per subnet

  10. Common Binary to Decimal Conversions • 11000000 • 1100 0000 • 128 + 64 = ? • The Answer is: • 192 • Class C Subnets: • 2 Useable Subnets (ClassC) with 62 hosts per subnet

  11. Common Binary to Decimal Conversions • 11100000 • 1110 0000 • 256 - 32 = ? • The Answer is: • 224 • Class C Subnets: • 6 Useable Subnets (ClassC) with 30 hosts per subnet

  12. Common Binary to Decimal Conversions • 11110000 • 1111 0000 • 256 - 16 = ? • The Answer is: • 240 • Class C Subnets: • 14 Useable Subnets (ClassC) with 14 hosts per subnet

  13. Common Binary to Decimal Conversions • 11111000 • 1111 1000 • 2^5 Subnets created... • 240 + 8 = ? • The Answer is: • 248 • Class C Subnets: • 30 Useable Subnets (ClassC) with 6 hosts per subnet

  14. Common Binary to Decimal Conversions • 11111100 • 1111 1100 • Good Subnet Mask for Point-to-Point Links… • 240 + 8 + 4 = ? • The Answer is: • 252 • Class C Subnets: • 62 Useable Subnets (ClassC) with 2 hosts per subnet

  15. Common Binary to Decimal Conversions • 11111110 • 1111 1110 • 240 + 8 + 4 + 2= ? • 255 - 1 = ? • The Decimal Answer is: • 254 • Class B Subnets: • 126 Useable Subnets (ClassB) with 510 hosts per subnet

  16. Common Binary to Decimal Conversions • 11111111 • 1111 1111 • Maximum value for a byte… • Most Subnet Masks include one of these • The Answer is: • 255 • Class B Subnets: • 254 Useable Subnets (ClassB) with 254 hosts per subnet

  17. Common Binary to Decimal Conversions • 00000011 • 0000 0011 • Only four could be more… • 2 + 1 = ? • The Answer is: • 3 • Wildcard Mask for 255.255.255.252

  18. Common Binary to Decimal Conversions • 00000111 • 0000 0111 • Almost 2^3… • 8 - 1 = ? • The Answer is: • 7 • Wildcard Mask for 255.255.255.248

  19. Common Binary to Decimal Conversions • 00001111 • 0000 1111 • Almost 16… • 16 - 1 = ? • The Answer is: • 15 • Wildcard Mask for 255.255.255.240

  20. Common Binary to Decimal Conversions • 00011111 • 0001 1111 • Add all of these ones, and get one less than next 1 is worth… • 32 - 1 = ? • The Answer is: • 31 • Wildcard Mask for 255.255.255.224

  21. Common Binary to Decimal Conversions • 00111111 • 0011 1111 • Almost 64… • 64 - 1 = ? • The Answer is: • 63 • Wildcard Mask for 255.255.255.192

  22. Common Binary to Decimal Conversions • 01111111 • 0111 1111 • First Octet of the Loopback Address… • 128 - 1 = ? • The Answer is: • 127 • Wildcard Mask for 255.255.255.128

  23. Changing to a few common Decimals • Feel free to use a sheet of paper to work on the next few slides. • The following are a few decimals that are frequently converted to binary.

  24. Common Decimal to Binary Conversions • Decimal 10 to Binary • >=128? No 0… • >=64? No 00… • >=32 or >=16? No 0000…. • >=8? Yes 00001… • 10-8=2 • The answer is: • 00001010

  25. Common Decimal to Binary Conversions • Decimal 168 to Binary • >=128? Yes 1… • 168-128=40 • >=64? No 10… • >=32? Yes 101… • 40-32=8 • >=16? No 1010… • >=8? Yes • The answer is: 10101000

  26. Common Decimal to Binary Conversions • Decimal 172 to Binary • 172>=128? Yes 1… • 172-128=44 • 44>=64? No 10… • 44>=32? Yes 101…44-32=12 • 12>=16? No 1010… • 12>=8? Yes 10101… • 12-8=4 • The answer is: 10101100

  27. CCNA Math Practice Nice Job! The End…for now

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