1. ## Bases

Hi!

I'm having trouble trying to figure out the process to solve problems that have bases. I really want to know the steps in how to solve these. Can you please help me with the problems below? Thank you!

Find the numbers preceding and succeeding each of the following:

a. EE0twelve

b. 100000two

c. 555six

d. 100seven

e. 1000five

2. Originally Posted by mathmagic
Find the numbers preceding and succeeding each of the following:
a. EE0twelve
b. 100000two
Here are two hints:
The preceding in part a is $ETE_{12}$. Why? Add 1.

The preceding in part b is $11111_{2}$. Why? Add 1.

3. ## Bases

Hi!

I'm sorry, so how did you get the preceding answer ETEtwelve? Does the E equal to 11 and T equal to 10 or something? I'm just trying to understand exactly how it works. Thanks for your help!

4. $ETE_{12} = 11 \cdot 12^2 + 10 \cdot 12 + 11 \cdot 12^0$
$\left( {11 \cdot 12^2 + 10 \cdot 12 + 11 \cdot 12^0 } \right) + 1 =$ $\left( {11 \cdot 12^2 + 10 \cdot 12 + 12 \cdot 12^0 } \right) = \left( {11 \cdot 12^2 + 11 \cdot 12 + 0 \cdot 12^0 } \right) = EE0_{12}$

5. ## Bases

Okay, I see it now...thanks so much!