The number of bits required for a binary code to represent 305 different possibilities is
A) 8 bits
B) 2 bits
C) 9 bits
D) 3 bits

Name: The number of bits required for a binary code to represent 305 different possibilities is A) 8 bits B) 2 bits C) 9 bits D) 3 bits
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Question

Quizplus · Accepted Answer

To represent 305 different possibilities in binary, you need to find the smallest number of bits where $2^n \geq 305$. $2^8 = 256$ is not enough, but $2^9 = 512$ is sufficient. Therefore, 9 bits are required.

The Number of Bits Required for a Binary Code to Represent