You've uploaded a table that shows
binary numbers (8-bit, split into two 4-bit nibbles) and asks to convert them to
hexadecimal.
The table has columns labeled with powers of 2:
128, 64, 32, 16 | 8, 4, 2, 1 — this is the standard binary place value for an 8-bit number, split into two groups of 4 bits (nibbles).
Each row represents one 8-bit binary number. To convert to hexadecimal:
>
✔ Step 1: Split the 8-bit binary number into two 4-bit parts (left 4 bits and right 4 bits).
>
✔ Step 2: Convert each 4-bit group to its hexadecimal equivalent (0–F).
>
✔ Step 3: Combine the two hex digits.
---
Let’s go row by row:
---
🔹 Row 1: `1 0 0 1 | 1 1 0 0`
- Left: `1001` → 8 + 1 =
9
- Right: `1100` → 8 + 4 =
12 →
C in hex
-
✔ Hex: 9C
---
🔹 Row 2: `1 0 0 1 | 1 1 0 0`
Same as row 1!
- Left: `1001` =
9
- Right: `1100` =
C
-
✔ Hex: 9C
*(Note: This appears to be a duplicate row — maybe a typo? But we’ll process it as-is.)*
---
🔹 Row 3: `0 0 0 0 | 0 0 1 1`
- Left: `0000` =
0
- Right: `0011` = 2 + 1 =
3
-
✔ Hex: 03
---
🔹 Row 4: *(Empty — skip)*
---
🔹 Row 5: `0 1 0 0 | 0 0 0 1`
- Left: `0100` = 4 →
4
- Right: `0001` = 1 →
1
-
✔ Hex: 41
---
🔹 Row 6: *(Empty — skip)*
---
🔹 Row 7: `1 0 1 1 | 1 0 0 0`
- Left: `1011` = 8 + 2 + 1 =
11 →
B
- Right: `1000` = 8 →
8
-
✔ Hex: B8
---
##
✔ Final Answers (for Hex column):
| Binary (8-bit) | Hexadecimal |
|---------------------|-------------|
| 1001 1100 |
9C |
| 1001 1100 |
9C |
| 0000 0011 |
03 |
| (empty) | |
| 0100 0001 |
41 |
| (empty) | |
| 1011 1000 |
B8 |
---
## 💡 Pro Tip:
You can memorize the 4-bit to hex mapping:
```
0000 → 0
0001 → 1
0010 → 2
0011 → 3
0100 → 4
0101 → 5
0110 → 6
0111 → 7
1000 → 8
1001 → 9
1010 → A
1011 → B
1100 → C
1101 → D
1110 → E
1111 → F
```
This makes conversion quick and easy!
---
✔ All done! Let me know if you want decimal conversions too.
Parent Tip: Review the logic above to help your child master the concept of hexadecimal worksheet.
