A postal service uses short and long bars to represent the Postal Addressing Code - CEP. The short bar corresponds to zero and the long bar to 1. The first and last bar are not part of the code. The conversion table for the code is shown below.

$$
\begin{array}{ll}
11000=0 & 01100=5 \\
00011=1 & 10100=6 \\
01010=2 & 00001=7 \\
00101=3 & 10001=8 \\
00110=4 & 10010=9
\end{array}
$$

(a) Write the CEP 36470130 in the form of a barcode.

(b) Identify the CEP that represents the barcode below:

## ||||||||||||||||||||||||||||||||||||
(a) First, we write the ZIP code in the form of 0's and 1's:

![](https://cdn.mathpix.com/cropped/2024_05_01_b9d1398cc05f7e479435g-4.jpg?height=100&width=888&top_left_y=2274&top_left_x=641)

We can now write the barcode for this ZIP code:

![](https://cdn.mathpix.com/cropped/2024_05_01_b9d1398cc05f7e479435g-4.jpg?height=91&width=694&top_left_y=2487&top_left_x=635)

Remember that the first and last bars are not part of the code.
(b) First, we write the barcode in the form of 0's and 1's:

![](https://cdn.mathpix.com/cropped/2024_05_01_b9d1398cc05f7e479435g-5.jpg?height=149&width=763&top_left_y=585&top_left_x=795)

We can now write the ZIP code: 20240020.

#