Question

What is 10112 in decimal?

Answer 1

To convert 10112 from binary to decimal, we multiply each digit by the corresponding power of 2 and sum them up.

Step-by-step explanation:

To convert 10112 from binary to decimal, we need to multiply each digit by the corresponding power of 2 and then sum them up. Starting from the rightmost digit, the powers of 2 are 2^0, 2^1, 2^2, 2^3, etc. In this case, we have:

• 1 x 2^0 = 1
• 1 x 2^1 = 2
• 0 x 2^2 = 0
• 1 x 2^3 = 8
• 0 x 2^4 = 0
• 1 x 2^5 = 32
• 1 x 2^6 = 64

Adding up all the results, we get:

1 + 2 + 0 + 8 + 0 + 32 + 64 = 107

Therefore, 10112 in decimal is equal to 107.