Question

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

10110000
10110000

01111101
01111101

10101010
10101010

01111010

Answer 1

To convert the decimal number 176 to its binary representation, you can divide the number by 2 and keep track of the remainders:

1. 176 ÷ 2 = 88, remainder 0
2. 88 ÷ 2 = 44, remainder 0
3. 44 ÷ 2 = 22, remainder 0
4. 22 ÷ 2 = 11, remainder 0
5. 11 ÷ 2 = 5, remainder 1
6. 5 ÷ 2 = 2, remainder 1
7. 2 ÷ 2 = 1, remainder 0
8. 1 ÷ 2 = 0, remainder 1

Now, we collect the remainders from bottom to top, which gives us: 10110000.

So, the binary base 2 representation of the number 176 is **10110000**.