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

Question

2 months ago

4

y numbers?

1 answer:

pickupchik [329] · Answer 1 · 2026-02-17T20:35:46+03:00

Response:

Refer to Clarification

Clarification:

The question lacks completeness as the options are missing.

Nonetheless, the question can still be resolved

Provided

0011, 0110 and 1111

Initially, I will convert each binary to its 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 except for 3, 6, and 15 answers the query