What is it?
"In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 and 1." - Wikipedia
Binary Notation Formula
From right to left, starting with the rightmost binary digit index = 0, multiply each binary digit by 2-to-the-power-of-its-index and sum the results.
See the basic math breakdown of how binary 011001 represents the sum of these 6 expressions:
Why does any number to the 'zero' power equal 1? A good and simple explanation can be found in Answer #4 here: http://scienceline.ucsb.edu/getkey.php?key=2626
"In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 and 1." - Wikipedia
Binary Notation Formula
From right to left, starting with the rightmost binary digit index = 0, multiply each binary digit by 2-to-the-power-of-its-index and sum the results.
0*2^5 = 0...which sum to a decimal-based system (also called Hindu-Arabic, or Arabic system) number of 25
1*2^4 = 16
1*2^3 = 8
0*2^2 = 0
0*2^1 = 0
1*2^0 = 1
Answer 4: Let's look at what it means to raise a number to a certain power: it means to multiply that number by itself a certain number of times. Three to the second power is three multiplied by itself 2 times, or 3*3=9. Let's look at a few examples:35 = 3*3*3*3*3 = 24334 = 3*3*3*3 = 8133 = 3*3*3 = 2732 = 3*3 = 931 = 3 = 3But how do you go from 31 to 30? If you look at the pattern, you can see that each time we reduce the power by 1 we divide the value by 3. Using this pattern we can not only find the value of 30, we can find the value of 3 raised to a negative power! Here are some examples:30 = 3/3 = 13-1 = 1/3 = 0.3333... (this decimal repeats forever)3(-2) = 1/3/3 = 0.1111...3(-3) = 1/3/3/3 = 0.037037...See this useful binary reading tool below for your own practice: http://www.advanced-ict.info/interactive/binary.html
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