Using the diagonal method, $(256) 2 =$ [[1]].

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Detailed Solution

Using diagonal method,

(256) 2 = 65536.

The given number is 256.
Draw a square of n columns and n rows by counting the number of digits and dividing it into

n 2

sub-squares, then draw a diagonal for each sub-square.
Here, the number is 256 then n = 3.
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Write the digits of the number to be squared along the left vertical side and top horizontal side of the squares.
Do a one-by-one multiplication of each digit to the left of the square and each digit to the top of the column. In the matching sub-square, write the units digit of the product below the diagonal and the tens digit above the diagonal. Question Image

Starting below the lowest diagonal, sum the digits along the diagonals so obtained. Write the units digit of the sum and take carry, the tens digit (if any) to the diagonal.
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Thus,