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Questions and Answers
What is the hexadecimal representation of the binary number 1011?
What is the hexadecimal representation of the binary number 1011?
- D
- C
- A
- B (correct)
What is the binary equivalent of the hexadecimal digit 6?
What is the binary equivalent of the hexadecimal digit 6?
- 0101
- 0100
- 0110 (correct)
- 0111
Which of the following is the correct first step when converting a binary number to hexadecimal?
Which of the following is the correct first step when converting a binary number to hexadecimal?
- Mark off groups of 4 digits starting from the right. (correct)
- Mark off groups of 3 digits starting from the left.
- Add extra 0's on the right.
- Refer to the lookup table to start converting each digit.
What is the hexadecimal equivalent of the binary number 0010 0100 1000?
What is the hexadecimal equivalent of the binary number 0010 0100 1000?
Convert the hexadecimal number CAFE to binary.
Convert the hexadecimal number CAFE to binary.
Flashcards
Step 1: Grouping Binary Digits
Step 1: Grouping Binary Digits
Grouping binary digits into sets of four, starting from the rightmost digit. This simplifies the conversion process by breaking down the number into manageable chunks.
Step 2: Using Table for Hexadecimal Conversion
Step 2: Using Table for Hexadecimal Conversion
Using a table to translate each group of four binary digits into its corresponding hexadecimal value. Each group represents a single hexadecimal digit.
Hexadecimal to Binary Conversion
Hexadecimal to Binary Conversion
Directly substituting hexadecimal digits for binary digits based on a chart. This eliminates the need for table lookups, speeding up the conversion process.
Converting Hexadecimal to Binary
Converting Hexadecimal to Binary
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Converting Binary to Hexadecimal
Converting Binary to Hexadecimal
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Study Notes
Binary to Hexadecimal Conversion
- Binary numbers can be converted into hexadecimal
- Group binary digits into sets of four, starting from the rightmost digit.
- Use the corresponding lookup table to convert each group of four binary digits to a single hexadecimal digit.
- Add leading zeros if necessary to complete the groups of four.
Hexadecimal Lookup Table
- Binary | Hexadecimal
- -------- | --------
- 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
Example Conversions
-
Binary: 1010 1001
-
Hexadecimal: A9
-
Binary: 1111 1111
-
Hexadecimal: FF
-
Binary: 0100 0001
-
Hexadecimal: 41
-
Binary: 1001 0010 1101
-
Hexadecimal: 92D
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