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education/computer engineering/ECE2700/Digital Hardware.md
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@ -36,18 +36,18 @@ 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. As an example, the below table shows how one might convert from $(857)_{10}$ to base 2.
| Equation | Remainder | | Equation | Remainder | |
| --------------- | --------- | | --------------- | --------- | --- |
| $857 / 2 = 428$ | $1$ | | $857 / 2 = 428$ | $1$ | |
| $428 / 2 = 214$ | $0$ | | $428 / 2 = 214$ | $0$ | |
| $214 / 2 = 107$ | $0$ | | $214 / 2 = 107$ | $0$ | |
| $107 / 2 = 53$ | $1$ | | $107 / 2 = 53$ | $1$ | |
| $53 / 2 = 26$ | $1$ | | $53 / 2 = 26$ | $1$ | |
| $26 / 2 = 13$ | $0$ | | $26 / 2 = 13$ | $0$ | |
| $13 / 2 = 6$ | $1$ | | $13 / 2 = 6$ | $1$ | |
| $6 / 2 = 3$ | $0$ | | $6 / 2 = 3$ | $0$ | |
| $3 / 2 = 1$ | $1$ | | $3 / 2 = 1$ | $1$ | |
| $1 / 2 = 0$ | $1$ | | $1 / 2 = 0$ | $1$ | |
The final answer is $1101011001$. The least significant bit is the remainder of the first division operation, and the most significant bit is the remainder of the last operation. The final answer is $1101011001$. The least significant bit is the remainder of the first division operation, and the most significant bit is the remainder of the last operation.
# Definitions # Definitions