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Find the value of the following, leaving your answers in base two. Number one
(1011 in base two)²

Respuesta :

varshamittal029

The value of (1011 in base two)² is 1111001.

Step 1 : Convert 1011 (Base 2) to decimal number (Base 10).

(1 x 2³) + (0 x 2²) + (1 x 2¹) + (1 x 2ᐤ)

=  1 + 2 + 0 + 8

       = 11

Step 2 : Calculate the square of 11 in decimal number (Base 10).

(1110)² = 121

Step 3 : Convert 121 (Base 10) to binary number (Base 2)

  • Divide 121 by 2.
  • Note the remainder
  • Divide the obtained dividend by 2.
  • Repeat the process until you get 0 as the dividend.
  • Note the remainder values from bottom to top.

       

        Dividend                                 Remainder

        121/2 = 60                                       1

        60/2 = 30                                       0

        30/2 = 15                                        0

        15/2 = 7                                           1

        7/2 = 3                                             1

        3/2 = 1                                              1

        1/2 = 0                                              1

Therefore, 12110 = 1111001

Therefore, using binary to decimal conversion, we get the answer as 121, which when converted to base 2, we get the answer as 1111001.

Learn more about Number System Conversions here: https://brainly.com/question/20819492?referrer=searchResults

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