Question

1110 base 2 + 1011 base 2 = ____ base 4?

Answer 1

To solve this problem, we need to first add the two binary numbers and then convert the result to base 4.

Here's how to add the two binary numbers:

1110

+ 1011

------

10101

The sum of 1110 base 2 and 1011 base 2 is 10101 base 2.

To convert 10101 base 2 to base 4, we can group the binary digits into pairs from right to left:

10 10 1

| | |

V V V

1 0 1

Each pair represents a digit in base 4. So, the answer is:

10101 base 2 = 101 base 4

Therefore, 1110 base 2 + 1011 base 2 = 101 base 4.