convert 110010 to base 10
2
I'm not sure about this one is it 60 or 62 I did all the steps, but it seems like I'm still missing something
The answer is "50".
For binary conversions start from the right most digit and move to the left.
1)The first digit is zero or one.
2)The second digit is zero or two (2).
3)The third is zero or four (4).
4)The fifth is zero or eight (8).
5)The sixth is zero or sixteen (16).
6)The seventy is zero or thirty two(32).
7)The eight is zero or sixty four (64).
Note: each higher digit is “2” taken to the next higher exponential value; starting with the zero power.
1)2 to the zero power = 1
2)2 to the first power = 2
3)2 to the second power = 4
4)Etc.…
I see where I made a mistake thanks!
To convert the binary number 110010 to base 10, you can follow these steps:
1. Start by writing down the binary number: 110010
2. Start from the rightmost digit (least significant bit) and assign each bit a power of 2, starting from 0. For example, the rightmost bit has a power of 2^0, the next bit has a power of 2^1, and so on.
3. Multiply each bit by its corresponding power of 2. In this case, you would multiply the leftmost bit (1) by 2^5, the next bit (1) by 2^4, the next bit (0) by 2^3, and so on.
4. Add up all the results from step 3. In this case, the calculation would be:
(1 * 2^5) + (1 * 2^4) + (0 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0)
5. Simplify each term in the calculation:
(1 * 32) + (1 * 16) + (0 * 8) + (0 * 4) + (1 * 2) + (0 * 1)
6. Calculate the sum:
32 + 16 + 0 + 0 + 2 + 0
7. The final answer is 50. Therefore, the base 10 equivalent of the binary number 110010 is 50.
Regarding your confusion about whether the answer is 60 or 62, it's possible that there was an error in one of the steps or calculations. Please double-check the multiplication and addition steps to ensure accuracy.