Question

The binary data 0010 is shifted to the left by one position. Identify the operation that gives the result that is identical to the shifted binary data.

a) Adding 2 to the number
b) Subtracting the number from 2
c) Dividing the number by 2
d) μltiplying the number by 2

Answer 1

Left shifting binary data 0010 results in binary 0100, which is the same as multiplying the decimal equivalent (2) by 2. Thus, the correct operation is multiplying the number by 2.

Step-by-step explanation:

The question pertains to a left shift operation on the binary data 0010. When binary data is shifted to the left by one position, each digit is moved one place to the left, and a 0 is introduced at the rightmost end. So if we shift 0010 to the left, we get 0100. In terms of decimal values, this operation is equivalent to multiplying the number by 2 because 0010 is 2 in decimal, and after left shifting, 0100 is 4 in decimal. Therefore, the operation that gives a result identical to the shifted binary data is d) multiplying the number by 2.