What are these?. Binary Clock ICE3M May 7, 2007 Ms. Nelson.

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Presentation transcript:

What are these?

Binary Clock ICE3M May 7, 2007 Ms. Nelson

Telling Time in Binary 1 or 0 2 or 0 4 or 0 8 or 0 16 or 0 32 or = 45 seconds! Similarly, the clock is currently showing = 12 for the hour, and = 7 for the minutes Therefore the current time is 12:07 and 45 seconds.

Computers and Storage  Everything inside your computer is boiled down to tiny on/off switches  Traditionally, we use 0 for off and 1 for on  Ever noticed this on on/off switches?  Numbers are stored this way too

Counting with 0’s and 1’s  Pretend we only had 0’s and 1’s to work with, and not 2, 3, 4, 5, 6, 7, 8, 9.  How many numbers can you come up with?  0, 1, 10, 11 (but not 12, 13, 14… have to skip all the way up to 99)  100, 101, 110, 111  1000…. can you continue this pattern?

Matching Up

The Power of the Powers of 2  1 (decimal) ≈ 1 (binary) ≈ 2 0  10 (decimal) ≈ 2 (binary) ≈ 2 1  100 (decimal) ≈ 4 (binary) ≈ 2 2  1000 (decimal) ≈ 8 (binary) ≈ 2 3  Any number can be expressed as a sum of powers of 2  e.g. 13 = = ≈ 1101 (bin)  This is your shortcut!

Back to the Time  It’s now 2:26 and 34 seconds  How do we represent that?  2 becomes 10  26 becomes  34 becomes  The current time is:

Your Task…  Write a program in Turing that…  Gets the current time from the system  Look in the command reference for “Time”  Prints it out to the console in binary format  e.g., 2:26:34 prints out as:  10    Our next project will involve LED lights