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Binary Lesson 1 Nybbles

This lesson introduces the concepts of Base Ten and Base Two, focusing on normal numbers and their values in each place, such as ones, tens, and hundreds in Base Ten, and ones and twos in Base Two. It explains how to convert between decimal and binary forms, counts binary numbers up to 15, and demonstrates the significance of nybbles. Additionally, the lesson provides interactive iClicker questions for better understanding, allowing learners to practice conversions and enhance their knowledge of binary counting.

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Binary Lesson 1 Nybbles

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  1. Binary Lesson 1Nybbles

  2. Base Ten • Normal Numbers • Each place has one of these values: • 0 1 2 3 4 5 6 7 8 9 • 147 = 1*100 + 4*10 + 7 • Or 1*10^2 + 4*10^1 + 7*10^0

  3. Base Ten 147 Hundreds placeNumber of hundreds 10^2 Ones placeNumber of ones 10^0 Tens placeNumber of tens 10^1

  4. Base Two • Binary Numbers • Each place has one of these values: • 0 1 • 11 = 1 * 2 + 1 = 3 • Or 1*2^1 + 2^0

  5. Base Two 101 Fours placeNumber of fours 2^2 Ones placeNumber of ones 2^0 Twos placeNumber of twos 2^1

  6. Counting to 7 Base Two Base Ten 0 0 1 1 10 2 11 3 100 4 101 5 110 6 111 7

  7. Four Bits Make a Nybble 4s 2s 1s 8s 1001

  8. Counting to 15 Base Two Base Ten Base Two Base Ten 0 0 1000 8 1 1 1001 9 10 2 1010 10 11 3 1011 11 100 4 1100 12 101 5 1101 13 110 6 1110 14 111 7 1111 15

  9. iClicker Questions Nybbles

  10. What is 7 in binary? • 10 • 100 • 1000 • 1101 • 0111 1 of 5

  11. What is 101 in decimal? • 1 • 2 • 5 • 6 • 7 2 of 5

  12. Convert the decimal value 10 to binary: • 1 • 10 • 2 • 1000 • 1010 3 of 5

  13. Convert the binary value 10 to decimal: • 1 • 10 • 2 • 1000 • 1010 4 of 5

  14. Convert the binary value 1011 to decimal: • 1 • 10 • 11 • 13 • 14 5 of 5

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