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Category > Programming Posted 05 May 2017 My Price 8.00

The number of unique bit patterns using i bits

1a. What is the minimum number of bits that are required to uniquely represent the characters of English alphabet? (Consider upper case characters alone)

The number of unique bit patterns using i bits is 2i We need at least 26 unique bit patterns. The cleanest approach is to compute log2 26 and take the ceiling .This yields 5 as the answer. Trial and error is also an acceptable solution.

1b. how many more characters can be uniquely represented without requiring additional bits?

With 5 bits, we can represent up to 32 (25) unique bit patterns; we can represent

32 - 26 = 6 more characters without requiring additional bits.

2 Using 7 bits to represent each number, write the representations of 23 and -23 in signed

Magnitude and 2's complement integers.

 

Signed Magnitude

1's Complement

2's Complement

 

23

0010111

0010111

0010111

 

-23

1010111

1101000

1101001

Answers

ComputerScienceExpert
(11)
Status NEW Posted 05 May 2017 06:05 AM My Price 8.00

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