Question

What is the binary base 2 representation of the number 176?(1 point)
Responses

10110000
10110000

10101010
10101010

01111101
01111101

01111010

Answer 1

To convert the decimal number 176 to its binary base 2 representation, we can repeatedly divide the number by 2 and keep track of the remainders.

1. 176 divided by 2 is 88, remainder 0
2. 88 divided by 2 is 44, remainder 0
3. 44 divided by 2 is 22, remainder 0
4. 22 divided by 2 is 11, remainder 0
5. 11 divided by 2 is 5, remainder 1
6. 5 divided by 2 is 2, remainder 1
7. 2 divided by 2 is 1, remainder 0
8. 1 divided by 2 is 0, remainder 1

Now, we read the remainders backwards: 10110000.

Thus, the binary representation of 176 is **10110000**.

The correct response is:

**10110000**