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).
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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