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RSB [31]
2 years ago
9

Express the following binary numbers in hexadecimal. (a) %100011100101 (b) %1011001111 (show work)

Computers and Technology
1 answer:
Lapatulllka [165]2 years ago
7 0

Answer:

(100011100101)_{2} = (8E5)_{16} = %8E5

(1011001111) = (2CF)_{16} = %2CF

Explanation:

Binary and hexadecimal values have the following pair equivalences.

(0000)_{2} = (0)_{16}

(0001)_{2} = (1)_{16}

(0010)_{2} = (2)_{16}

(0011)_{2} = (3)_{16}

(0100)_{2} = (4)_{16}

(0101)_{2} = (5)_{16}

(0110)_{2} = (6)_{16}

(0111)_{2} = (7)_{16}

(1000)_{2} = (8)_{16}

(1001)_{2} = (9)_{16}

(1010)_{2} = (A)_{16}

(1011)_{2} = (B)_{16}

(1100)_{2} = (C)_{16}

(1101)_{2} = (D)_{16}

(1110)_{2} = (E)_{16}

(1111)_{2} = (F)_{16}

We convert from binary to hexadecimal selecting groups of 4 binary from the binary code, from the least significant bits(at the right) to the most significant bits(at the left). The conversion is an hexadecimal "string" from the last group you converted to the first. So:

(a) %100011100101

(0101)_{2} = (5)_{16}

(1110)_{2} = (E)_{16}

(1000)_{2} = (8)_{16}

So

(100011100101)_{2} = (8E5)_{16}

(b) %1011001111

(1111)_{2} = F_{16}

(1100)_{2} = C_{16}

(10)_{2} = (0010)_{2} = 2_{16}

(1011001111) = (2CF)_{16}

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Read 2 more answers
Define a function typeHistogram that takes an iterator ""it"" (representing a sequence of values of different types) and builds
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Answer:

def typeHistogram(it,n):

   d = dict()

   for i in it:

       n -=1

       if n>=0:

           if str(type(i).__name__) not in d.keys():

               d.setdefault(type(i).__name__,1)

           else:

               d[str(type(i).__name__)] += 1

       else:

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   return list(d.items())

it = iter([1,2,'a','b','c',4,5])

print(typeHistogram(it,7))

Explanation:

  • Create a typeHistogram function that has 2 parameters namely "it" and "n" where "it" is an iterator used to represent a sequence of values of different types while "n" is the total number of elements in the sequence.
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  • Check if n is greater than 0 and current string is not present in the dictionary, then set default type as 1 otherwise increment by 1.
  • At the end return the list of items.
  • Finally initialize the iterator and display the histogram by calling the typeHistogram.
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