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education/computer engineering/ECE2700/Digital Hardware.md

@@ -17,7 +17,11 @@ Application Specific Integrated Circuits (ASICs) have higher maximum performance
 - A logic circuit is made of connected logic gates
 
 # Binary Numbers
-
+In base 10, a value is expressed by an n-tuple with n digits
+$$ D = d_{n-1}d_{n-2} \cdots d_1 d_0 $$
+This represents the value
+$$ V(D) = d_{n-1} * 10^{n-1} + d_{n - 2} * 10^{n-2} + \cdots + d_1 * 10^1 + d$$
 # Definitions
 - **Xtor** is an abbreviation for *transistor*
 - **Moore's Law** states that the number of transistors on a chip doubles every two years.
+- A tuple is a finite and ordered list of things