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Given a binary number X = 1001011101000101, find the binary representation of the X * 2 (X multiplied by 2).

Question

Given a binary number X = 1001011101000101, find the binary representation of the X * 2 (X multiplied by 2).

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Solution 1

To multiply a binary number by 2, you simply shift all the digits one place to the left, similar to how you would multiply a decimal number by 10. The rightmost digit (also known as the least significant bit) becomes 0.

So, if X = 1001011101000101, then X * 2 would be represented in binary as:

10010111010001010

Solution 2

To multiply a binary number by 2, you simply shift all the digits one place to the left, similar to how you would multiply a decimal number by 10. The rightmost digit (also known as the least significant bit) becomes 0.

So, if we have X = 1001011101000101, shifting all digits one place to the left gives us:

X * 2 = 10010111010001010

So, the binary representation of X * 2 is 10010111010001010.

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