vault backup: 2025-01-27 11:24:37

education/computer engineering/ECE2700/Digital Hardware.md

@@ -25,7 +25,8 @@ In a binary or base 2 number system, each digit can be a zero or one, called a *
 $$ D = d_{n-1}d_{n-2} \cdots d_1 d_0 $$
 To determine the integer value, a very similar formula can be used.
 $$ V(B) = b_{n-1} * 2^{n-1} + b_{n-2} * 2^{n-2} \cdots b_{1} * 2^1 + b_0 * 2^0 $$This formula can be generalized as:
-*For radix *
+*For radix $r$*:
+$$ k = k_{n-1} k_{n-2} \cdots k_1 k_0$$
 - The base of a number is often notated in the format of $(n)_b$, EG a base 10 number might be $(14)_{10}$, and a binary number might be $(10)_2$. 
 - The *least significant bit* (LSB) is usually the right-most bit. The highest value bit, or the *most significant bit* (MSB).
 - A nibble is 4 bits, and a byte is 8 bits