Question

In binary, the second digit from the right is multiplied by the firstzerothsecond power of two, and the fourthfifthsixth digit from the right is multiplied by the fourth power of two.

Answer 1

In binary, we can convert to decimal number, multiplied by the power of two

Step-by-step explanation:

We are going to convert binary to decimal:

First step: We must write our binary (1010011)

Second step: We are going to enumerate from right to left.

( 1 0 1 0 0 1 1 )

6 5 4 3 2 1 0

Third step: We are going to do a table with the power of two.

2^0 = 1, 2^1 = 2

2^2 = 4, 2^3 = 8

2^4 = 16, 2^5 = 32

2^6 = 64

Fourth step: We will match the result.

64,32,16,8,4,2,1

( 1 0 1 0 0 1 1 )

Last step: We are going to multiply the power of two result X binary numbers and then to add it.

64 x 1 = 64, 32 x 0 = 0

16 x 1 = 16, 8 x 0 = 0

4 x 0 = 0, 2 x 1 = 2

1 x 1 = 1

We add 64 + 16 + 2 + 1 = 83 <-- the decimal number.