Binary-Numbers-Worksheet.pdf - ELEC 88.81 Name Binary Numbers ... - Free Printable

Since the user has set all options (ExplainAnswer, TeachTopic, GeneratePractice) to false, I will proceed directly to solving the problems presented in the worksheet image and provide only the Final Answer as requested.

The worksheet asks to convert binary numbers to their decimal equivalents. There are five tables, each containing 8 rows of binary data. I will calculate the decimal value for each row based on the place values provided in the headers ($128, 64, 32, 16, 8, 4, 2, 1$).

Table 1:
- Row 1: $0+0+0+0+0+0+0+1 = 1$
- Row 2: $0+0+0+0+0+0+1+0 = 2$
- Row 3: $0+0+0+0+0+1+0+0 = 4$
- Row 4: $0+0+0+0+1+0+0+0 = 8$
- Row 5: $0+0+0+1+0+0+0+0 = 16$
- Row 6: $0+0+1+0+0+0+0+0 = 32$
- Row 7: $0+1+0+0+0+0+0+0 = 64$
- Row 8: $1+0+0+0+0+0+0+0 = 128$

Table 2:
- Row 1: $0+0+0+0+0+0+0+1 = 1$
- Row 2: $0+0+0+0+0+0+1+1 = 3$
- Row 3: $0+0+0+0+0+1+1+1 = 7$
- Row 4: $0+0+0+0+1+1+1+1 = 15$
- Row 5: $0+0+0+1+1+1+1+1 = 31$
- Row 6: $0+0+1+1+1+1+1+1 = 63$
- Row 7: $0+1+1+1+1+1+1+1 = 127$
- Row 8: $1+1+1+1+1+1+1+1 = 255$

Table 3:
- Row 1: $0+0+0+0+0+0+1+0 = 2$
- Row 2: $0+0+0+0+0+1+1+0 = 6$
- Row 3: $0+0+0+0+1+1+1+0 = 14$
- Row 4: $0+0+0+1+1+1+1+0 = 30$
- Row 5: $0+0+1+1+1+1+1+0 = 62$
- Row 6: $0+1+1+1+1+1+1+0 = 126$
- Row 7: $1+1+1+1+1+1+1+0 = 254$
- Row 8: $0+0+0+0+0+0+0+0 = 0$

Table 4:
- Row 1: $0+0+0+0+0+1+0+0 = 4$
- Row 2: $0+0+0+0+1+0+1+0 = 16+2=18$ ? Wait, let me re-read the table carefully.
Row 1: `0 0 0 0 0 1 0 0` -> 4
Row 2: `0 0 0 0 1 0 1 0` -> 16 + 2 = 18? No, looking at the pattern, it seems like a specific sequence. Let's look closer at Table 4.
Actually, let me re-examine Table 4 visually.
Row 1: `0 0 0 0 0 1 0 0` -> 4
Row 2: `0 0 0 0 1 0 1 0` -> 16 + 2 = 18. This seems odd for a simple worksheet. Let me check if I misread the columns.
Ah, I see. The columns are labeled 128, 64, 32, 16, 8, 4, 2, 1.
Let's re-calculate Table 4 carefully.
Row 1: `0 0 0 0 0 1 0 0` -> 4
Row 2: `0 0 0 0 1 0 1 0` -> 16 + 2 = 18.
Row 3: `0 0 0 1 0 1 0 0` -> 16 + 4 = 20.
Row 4: `0 0 1 0 1 0 0 0` -> 32 + 8 = 40.
Row 5: `0 1 0 1 0 0 0 0` -> 64 + 16 = 80.
Row 6: `1 0 1 0 0 0 0 0` -> 128 + 32 = 160.
Row 7: `0 0 0 0 0 0 0 0` -> 0
Row 8: `0 0 0 0 0 0 0 0` -> 0
This looks correct based on the visual input.

Table 5:
- Row 1: `0 0 0 0 0 0 1 1` -> 3
- Row 2: `0 0 0 0 0 1 1 0` -> 6
- Row 3: `0 0 0 0 1 1 0 0` -> 12
- Row 4: `0 0 0 1 1 0 0 0` -> 24
- Row 5: `0 0 1 1 0 0 0 0` -> 48
- Row 6: `0 1 1 0 0 0 0 0` -> 96
- Row 7: `1 1 0 0 0 0 0 0` -> 192
- Row 8: `0 0 0 0 0 0 0 0` -> 0

I have calculated all the values. Now I will format them clearly.

Final Answer:
Here are the decimal equivalents for the binary numbers in the worksheet:

First Table:
1. 1
2. 2
3. 4
4. 8
5. 16
6. 32
7. 64
8. 128

Second Table:
1. 1
2. 3
3. 7
4. 15
5. 31
6. 63
7. 127
8. 255

Third Table:
1. 2
2. 6
3. 14
4. 30
5. 62
6. 126
7. 254
8. 0

Fourth Table:
1. 4
2. 18
3. 20
4. 40
5. 80
6. 160
7. 0
8. 0

Fifth Table:
1. 3
2. 6
3. 12
4. 24
5. 48
6. 96
7. 192
8. 0