The correct answer is DE116.
Key Points
- The hexadecimal number system consists of the symbols 0 - 9, A - F.
- Hexadecimal uses decimal numbers and six extra symbols.
- There are no numerical symbols that represent values greater than nine, so letters taken from the English alphabet are used, specifically A, B, C, D, E, and F, where Hexadecimal A = decimal 10, and hexadecimal F = decimal 15.
- A binary number is just a string of zeros and ones: 11011011.
- Three bits, each being on or off, can represent the eight numbers from 0 to 7, this is known as the octal number system.
| Hexadecimal number | Binary representation |
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
| A | 1010 |
| B | 1011 |
| C | 1100 |
| D | 1101 |
| E | 1110 |
| F | 1111 |
- Steps to Convert Binary to Hex:
- Start from the least significant bit (LSB) at the right of the binary number and divide it up into groups of 4 digits. (4 digital bits is called a "nibble").
- Convert each group of 4 binary digits to its equivalent hex value (see table above).
- Concatenate the results together, giving the total hex number.
- The binary code is given in question 1101 1110 0001 ⇒ DE116
