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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
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