Question

convert (111011)^2 into its equivalent decimal number​

Answer 1

Answer:

32 + 16 + 8 + 0 + 2 + 1 = 59. This is the decimal equivalent of the binary number 111011.

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Answer 2

Given,

(111011)^2

To Find,

Convert (111011)^2 into its equivalent decimal number​.

Solution,

We have to convert the binary number (111011)^2 into its equivalent decimal form. The binary system only uses two digits i.e. 0 and 1. On the other hand, the decimal system uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

To convert binary into decimal, each digit in the binary number is multiplied by $2^{n}$ and the result is added. Where, $n = 0, 1, 2, 3, 4,$ and so on.

We have to assign n to each digit, starting from the right-hand side or the LSB (least significant bit) position.

Now,

$111011_{2}$

$= 1$ x $2^{5} + 1$ x $2^{4} + 1$ x $2^{3} + 0$ x $2^{2}$ $+ 1$ x $2^{1} + 1$ x $2^{0}$

$= 32 + 16 + 8 + 2 + 1$

$= 59$

Hence, its equivalent decimal number​ is 59.