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The problem asks which binary number represents the ASCII value of "H" given that "G" is represented by $1000111_2$.

Discrete MathematicsBinary NumbersASCIINumber SystemsBinary Addition
2025/4/20

1. Problem Description

The problem asks which binary number represents the ASCII value of "H" given that "G" is represented by 100011121000111_2.

2. Solution Steps

Since "H" is the next letter in the alphabet after "G", its ASCII value will be one greater than the ASCII value of "G". Therefore, we need to add 1 to the binary representation of "G", which is 100011121000111_2.
10001112+12=100100021000111_2 + 1_2 = 1001000_2
We perform binary addition:
1000111
+ 1
----------
1001000

3. Final Answer

The binary representation of "H" is 100100021001000_2. The correct answer is (2).

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