Question

a 4 bit digital word (D) is used to represent an analog signal that varies from 0 V to 15 V. The digital word D corresponding to 7 V will be:
1. 0001
2. 0010
3. 0111
4. 0110

Answer 1

Correct Answer - Option 3 : 0111

Explanation:

• 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

 

Hence 7 is represented as 0111.

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.