Problem Description:
The task is to decode a binary message using the ASCII table provided in the image. The binary code is given as a series of 8-bit binary numbers, and we need to convert each binary number into its corresponding ASCII character.
Solution Approach:
1.
Understand the Binary Code: Each binary number represents an 8-bit value, which corresponds to a specific ASCII character.
2.
Use the ASCII Table: The ASCII table provided in the image maps each binary number to its respective character (uppercase letters, lowercase letters, punctuation, and space).
3.
Decode Each Binary Number: Convert each binary number into its decimal equivalent and then find the corresponding character in the ASCII table.
4.
Combine the Characters: Once all binary numbers are decoded, combine the characters to form the hidden message.
Step-by-Step Solution:
#### Binary Numbers to Decode:
The binary numbers provided in the image are:
```
01000110 01100001 01101100 01101100
01101001 01110011 01110100 00100000
01101100 01100101 01110011 01110100
01100101 01100101 01100101 00100000
01101100 01101111 01101110 01100101
01110011 01110100 00100000 01100001
```
#### Decoding Each Binary Number:
We will decode each binary number step by step using the ASCII table.
1.
01000110:
- Decimal: \( 68 \)
- Character: `D`
2.
01100001:
- Decimal: \( 97 \)
- Character: `a`
3.
01101100:
- Decimal: \( 108 \)
- Character: `l`
4.
01101100:
- Decimal: \( 108 \)
- Character: `l`
5.
01101001:
- Decimal: \( 105 \)
- Character: `i`
6.
01110011:
- Decimal: \( 115 \)
- Character: `s`
7.
01110100:
- Decimal: \( 116 \)
- Character: `t`
8.
00100000:
- Decimal: \( 32 \)
- Character: ` ` (space)
9.
01101100:
- Decimal: \( 108 \)
- Character: `l`
10.
01100101:
- Decimal: \( 101 \)
- Character: `e`
11.
01110011:
- Decimal: \( 115 \)
- Character: `s`
12.
01110100:
- Decimal: \( 116 \)
- Character: `t`
13.
01100101:
- Decimal: \( 101 \)
- Character: `e`
14.
01100101:
- Decimal: \( 101 \)
- Character: `e`
15.
01100101:
- Decimal: \( 101 \)
- Character: `e`
16.
00100000:
- Decimal: \( 32 \)
- Character: ` ` (space)
17.
01101100:
- Decimal: \( 108 \)
- Character: `l`
18.
01101111:
- Decimal: \( 111 \)
- Character: `o`
19.
01101110:
- Decimal: \( 110 \)
- Character: `n`
20.
01100101:
- Decimal: \( 101 \)
- Character: `e`
21.
01110011:
- Decimal: \( 115 \)
- Character: `s`
22.
01110100:
- Decimal: \( 116 \)
- Character: `t`
23.
00100000:
- Decimal: \( 32 \)
- Character: ` ` (space)
24.
01100001:
- Decimal: \( 97 \)
- Character: `a`
#### Combine the Characters:
After decoding all the binary numbers, the characters are:
```
Dallist lesson test
```
Final Answer:
The hidden message is:
\[
\boxed{Dallist lesson test}
\]
Parent Tip: Review the logic above to help your child master the concept of binary code worksheet.
