Determine the decimal equivalent of hexadecimal number

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Reference no: EM133084239

Problem Sheet

Question 1. You have a bucket that contains 124 balls (124 is a decimal number). How would you express that quantity of balls in the following number systems?
i. Binary
ii. Hexadecimal
iii. Octal
Do the calculations with a paper and a pen and check the answers using Windows calculator.

Question 2. The following questions relate to one or more number systems. Write the name of the number system/s to which each statement applies.
i. Has a base of 10
ii. Has valid digits of 0,1,2......9
iii. C is one of its valid digits
iv. The weighting of its least significant digit is 1
v. The weighting of its 3rd digit from the right is 64
vi. The weighting of its 3rd digit from the right is 256
vii. Cannot represent the decimal equivalent number to 64 in two digits
viii. Has 16 valid digits
ix. Each valid digit can be represented as 4 binary bits

Question 3. Determine the decimal equivalent of hexadecimal number A07? Try to work it out without using a calculator.

Question 4. When converting a decimal number to hexadecimal, octal and binary systems, it is easier to convert to one of the three number systems prior to the other two. Which one should be first and why?

Reference no: EM133084239

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