205k views
4 votes
Express 50 in base 10 in five binary digits?

1) 11000
2) 11001
3) 11010
4) 11011

User Templar
by
7.5k points

1 Answer

1 vote

Final answer:

To express 50 in base 10 using five binary digits, convert it from base 2 to base 10. Multiply each digit by the corresponding power of 2 and add them up to get the decimal representation.

Step-by-step explanation:

Expressing a number in base 10 means representing it using decimal digits (0-9). To express 50 in base 10 using five binary digits, we need to convert it from base 2 to base 10.

The correct binary representation of 50 is 110010.

Each digit in binary represents a power of 2 from right to left. Starting from the right, the first digit represents 2^0, the second digit represents 2^1, the third digit represents 2^2, and so on.

To convert from binary to base 10, we multiply each digit by the corresponding power of 2 and add them up.

In this case, we have: 0 x 2^0 + 1 x 2^1 + 0 x 2^2 + 0 x 2^3 + 1 x 2^4 = 0 + 2 + 0 + 0 + 16 = 18.

Therefore, the correct binary representation of 50 in base 10 using five binary digits is 110010.

User Onofricamila
by
7.2k points