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@ -27,8 +27,21 @@ To determine the integer value, a very similar formula can be used.
$$ V(B) = b_{n-1} * 2^{n-1} + b_{n-2} * 2^{n-2} \cdots b_{1} * 2^1 + b_0 * 2^0 $$ $$ V(B) = b_{n-1} * 2^{n-1} + b_{n-2} * 2^{n-2} \cdots b_{1} * 2^1 + b_0 * 2^0 $$
- 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 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). - The *least significant bit* (LSB) is usually the right-most bit. The highest value bit, or the *most significant bit* (MSB).
- A - A nibble is 4 bits, and a byte is 8 bits
## Conversions
### Base 10 to Binary
Repeatedly divide by 2, and track the remainder.
As an example, the below table shows how one might convert from $(857)_{10}$ to base 2.
| Equation | Remainder |
| --------------- | --------- |
| $857 / 2 = 428$ | $1$ |
| $428 / 2 = 214$ | $0$ |
| $214 / 2 = 107$ | $0$ |
| $107 / 2 = 53$ | $1$ |
| $53 / 2 = 26$ | $ |
| | |
# Definitions # Definitions
- **Xtor** is an abbreviation for *transistor* - **Xtor** is an abbreviation for *transistor*
- **Moore's Law** states that the number of transistors on a chip doubles every two years. - **Moore's Law** states that the number of transistors on a chip doubles every two years.