Given below are two statements. In the light of the above statements, choose the most appropriate answer from the options given below:

Statement I:The largest decimal number that can be represented using a 7-bit binary number is 128.

Statement II:The minimum number of bits required to store the largest 2-digit decimal number is 7.

ABoth Statement I and Statement II are true

BBoth Statement I and Statement II are false

CStatement I is true but Statement II is false

DStatement I is false but Statement II is true ✓ Correct

Correct answer: (D) Statement I is false but Statement II is true

Explanation

With n bits the largest unsigned value is two raised to n minus one, so 7 bits give a maximum of 127, not 128.

Statement 1 is false because 7 bits represent values 0 to 127, and 128 would need an eighth bit.

Statement 2 is true because the largest 2-digit number 99 lies above 64 and below 128, so 7 bits are the minimum needed.

Six bits reach only 63, which cannot hold 99, confirming that seven bits are required.

Each additional bit doubles the range of distinct values that can be stored.

An 8-bit byte, by the same rule, can represent 0 to 255.

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