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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
-23
1010111
1101000
1101001
Estimate the time and difficulty to implement each method. Identify the reliability, access speed, and other costs and benefits. Detect what seems to be the better choice and justify your recommendation.
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The context of businessplanning related decision-making.
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