Question

Consider the 4-bit binary numbers 0011, 0110, and 1111. Which of the following decimal values is NOT equal to one of these binary numbers?

Answer 1

Answer:

See Explanation

Explanation:

The question is incomplete as the options are not given.

However, the question can still be solved

Given

0011, 0110 and 1111

First, I'll convert each digit to decimal equivalent as follows

$0011_2 = 0 * 2^3 + 0 * 2^2 + 1 * 2^1 + 1 * 2^0$

$0011_2 = 0 * 8 + 0 *4 + 1 * 2 + 1 *1$

$0011_2 = 0 + 0 + 2 + 1$

$0011_2 = 3$

$0110_2 = 0 * 2^3 + 1 *2^2 + 1 * 2^1 + 0 * 2^0$

$0110_2 = 0 * 8 + 1 *4 + 1 * 2 + 0 * 1$

$0110_2 = 0 + 4 + 2 + 0$

$0110_2 = 6$

$1111_2 = 1 * 2^3 + 1 * 2^2 + 1 * 2^1 + 1*2^0$

$1111_2 = 1 *8 + 1 * 4 + 1 * 2 + 1*1$

$1111_2 = 8 + 4 + 2 + 1$

$1111_2 = 15$

Any number other than 3, 6 and 15 answers the question