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Consider the binary string 1101 1110 0001. This is equivalent to
1. B9A16
2. DE116
3. 129B16
4. A2916

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Correct Answer - Option 2 : DE116

The correct answer is DE116.

  • 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

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