Maximum number in decimal that can be represented by 4 bits (binary) is

Electrical Engineering XYZ MCQs

Maximum number in decimal that can be represented by 4 bits (binary) is:

1. 15
2. 4
3. 16
4. 7

Correct answer: 1. 15

Explanation:

In binary, each bit represents a power of 2. With 4 bits, you can have combinations of 2^0, 2^1, 2^2, and 2^3.

• 2^0 = 1
• 2^1 = 2
• 2^2 = 4
• 2^3 = 8

Adding up these values: 1 + 2 + 4 + 8 = 15

So, the maximum decimal number that can be represented by 4 bits in binary is 15. Therefore, the correct option is the first one, “15”.