Question

Find the sum of 2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0 in binary system and in decimal system.

a) 63, 63
b) 63, 127
c) 127, 63
d) 127, 127

Answer 1

The sum of 2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0 in binary system is 111111 and in decimal system is 63.

Step-by-step explanation:

To find the sum of 2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0 in binary system and decimal system, we need to calculate the values of each term and then add them together.

In binary system, 2^5 is 100000, 2^4 is 10000, 2^3 is 1000, 2^2 is 100, 2^1 is 10, and 2^0 is 1. So the binary sum is 111111.

In decimal system, 2^5 is 32, 2^4 is 16, 2^3 is 8, 2^2 is 4, 2^1 is 2, and 2^0 is 1.

So the decimal sum is 63.