a binary number is to be transformed by appending three 0s to the end of the number. for example, 11101 is…

a binary number is to be transformed by appending three 0s to the end of the number. for example, 11101 is transformed to 11101000. 31 mark for review which of the following correctly describes the relationship between the transformed number and the original number? a the transformed number is 3 times the value of the original number. b the transformed number is 4 times the value of the original number. c the transformed number is 8 times the value of the original number. d the transformed number is 1,000 times the value of the original number.

a binary number is to be transformed by appending three 0s to the end of the number. for example, 11101 is transformed to 11101000. 31 mark for review which of the following correctly describes the relationship between the transformed number and the original number? a the transformed number is 3 times the value of the original number. b the transformed number is 4 times the value of the original number. c the transformed number is 8 times the value of the original number. d the transformed number is 1,000 times the value of the original number.

Answer

Explanation:

Step1: Recall binary - number multiplication rule

In binary, appending a 0 to the end of a binary number multiplies it by 2.

Step2: Analyze appending three 0s

Appending three 0s means multiplying by 2 three - times. Since (2\times2\times2 = 2^3=8), the new number is 8 times the original number.

Answer:

C. The transformed number is 8 times the value of the original number.