Binary Numbers Foley SED 514 Section 1 14 01 13 19 1 How do numbers work Counting 0 1 2 3 4 5 6 7 8 9 10 10 Why isn t there a symbol for 10 01 13 19 2 01 13 19 3 Decimal Number What is the value of 123 3 ones 10 2 tens 10 1 hundreds 10 1 x 100 2 x 10 3 x 1 0 1 2 01 13 19 4 01 13 19 5 What if we only had 8 fingers We would not have the numbers 8 9 We would count up to 7 and then 10 Why What would 10 be equal to What would 100 be 01 13 19 6 Octal Numbers What is the value of 123 base8 3 ones 8 2 eights 8 1 sixty fours 8 What is that in decimal 0 1 2 01 13 19 1 x 64 2 x 8 3 x 1 7 What if you only had 2 fingers Only two digits 0 and 1 What is the value of 123 base2 01 13 19 8 Numbers in binary OK what is the value of 111 base2 1 ones 2 1 two 2 1 four 2 What is that in decimal 0 1 2 01 13 19 1 x 4 1 x 2 1 x 1 9 More questions Binary Decimal 101 10001 1010101 123 01 13 19 10 Why do we care about binary Just like a light switch on 1 off 0 We can count and remember with electricity Vacuum tubes and then transistors and finally integrated circuits Key to computers all you need are 1s and 0s Give a number to all letters and you can do anything ASCII 01 13 19 11
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