Question

Covert the following binary numbers to decimal numbers and show your calculations:

a) 101011000111
b) 10011111​

Answer 1

Step-by-step explanation:

Note that there are 12 digits in part a., so there are 12 positions.

Multiply the number in the first position by 2⁰ (=1), the second position by 2¹ (=2), the third position by 2² (=4) and so on.

1 x 1 = 1

1 x 2 = 2

1 x 4 = 4

0 x 8 = 0

0 x 16 = 0

0 x 32 = 0

1 x 64 = 64

1 x 128 = 128

0 x 256 = 0

1 x 512 = 512

0 x 1024 = 0

1 x 2048 = 2048

Now, add up the above answers to get the answer to 101011000111 binary converted to decimal!!

1 + 2 + 4 + 0 + 0 + 0 + 64 + 128 + 0 + 512 + 0 + 2048

$2759 _{10}$

Hope you get your answer!!

Solve it b) part by yourself!!

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