To be promoted to the level of Lead supervisor/scorekeeper on campus, you must d

Question

To be promoted to the level of Lead supervisor/scorekeeper on campus, you must demonstrate that you can easily and effortlessly convert a configuration of binary switches into their corresponding decimal value. As a reminder, a switch in the DOWN position represents a '1' and a switch in the UP position represents a 'o 4. What does the configuration DOWN-UP-UP-DOWN-UP-DOWN-UP-DOWN-UP-UP represent where the leftmost switch (excess/sign bit) DOWN denotes that the score is negative? What does the configuration DOWN-UP-UP-UP-DOWN-UP-DOWN-UP-DOWN-UP represent where all switches are used to represent numerical information? a. b.

Explanation / Answer

Answer is as follows :

WE know that swith DOWN is 0 and UP is 1.

So

a) We convert given string to following set of bytes :

1 0 0 1 0 1 0 1 0 0

where leftmost bit 1 represent the number is -ve.

So we know that except leftmost bits others are 001010100 is equal to 84 in decimal.

So if we include 1 in this, the no get's -84.

b)

The converted string is 1 0 0 0 1 0 1 0 1 0

i.e. equal to numeric value or decimal value 554

if there is any query or want more explanation, ask me in comments....

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