Binary Lesson 1Binary Lesson 1NybblesNybbles

Base TenBase Ten

Normal NumbersNormal Numbers Each place has one of these Each place has one of these

values:values: 0 1 2 3 4 5 6 7 8 90 1 2 3 4 5 6 7 8 9

147 = 1*100 + 4*10 + 7147 = 1*100 + 4*10 + 7 Or 1*10^2 + 4*10^1 + 7*10^0Or 1*10^2 + 4*10^1 + 7*10^0

Base TenBase Ten

11 44 77

Ones placeNumber of ones

10^0

Tens placeNumber of tens

10^1

Hundreds placeNumber of hundreds

10^2

Base TwoBase Two

Binary NumbersBinary Numbers Each place has one of these Each place has one of these

values:values: 0 10 1

11 = 1 * 2 + 1 = 311 = 1 * 2 + 1 = 3 Or 1*2^1 + 2^0Or 1*2^1 + 2^0

Base TwoBase Two

11 00 11

Ones placeNumber of ones

2^0

Twos placeNumber of twos

2^1

Fours placeNumber of fours

2^2

Counting to 7Counting to 7 Base TwoBase Two Base TenBase Ten 00 0 0 11 1 1 1010 2 2 1111 3 3 100100 4 4 101101 5 5 110110 6 6 111111 7 7

Four Bits Make a NybbleFour Bits Make a Nybble

11 00 00 11

8s 4s 2s 1s

Counting to 15Counting to 15 Base Two Base TenBase Two Base Ten Base Two Base TenBase Two Base Ten 00 0 0 1000 1000 8 8 11 1 1 1001 1001 9 9 1010 2 2 1010 1010 10 10 1111 3 3 1011 1011 11 11 100100 4 4 1100 1100 12 12 101101 5 5 1101 1101 13 13 110110 6 6 1110 1110 14 14 111111 7 7 1111 1111 15 15