Question

What is the decimal value of the binary number 0011 1100?

(1 point)
Responses

34

34

56

56

60

60

68

Answer 1

To convert the binary number 0011 1100 to decimal, we can break it down as follows:

The binary number is 0011 1100. We can split it into two parts for clarity:

- The left part: 0011 (which is 3 in decimal)
- The right part: 1100 (which is 12 in decimal)

Now we can calculate the total decimal value by evaluating the contribution from each bit in the binary number.

From the rightmost bit (the least significant bit):

- 0 × 2^0 = 0
- 0 × 2^1 = 0
- 1 × 2^2 = 4
- 1 × 2^3 = 8
- 1 × 2^4 = 16
- 1 × 2^5 = 32
- 0 × 2^6 = 0
- 0 × 2^7 = 0

Now let's sum them up:

0 + 0 + 4 + 8 + 16 + 32 + 0 + 0 = 60

Thus, the decimal value of the binary number 0011 1100 is **60**.

So the correct response is **60**.