Question

when it will always equal the largest number that can be represented by that number of bits. if you want to add 1 to that number, you need to add another bit. its like 9, 99, and 999 in the decimal system. as it turns out, the highest number that can be represented by n bits is the same as 2^n - 1: bits (n) highest number (2^n - 1) 1 1 (2^1 - 1) 2 3 (2^2 - 1) 3 7 (2^3 - 1) 4 15 (2^4 - 1) what do you think: what does 11111 represent in decimal? choose 1 answer: 15 24 31 63

Explanation:

Step1: Identify number of bits

The binary number 11111 has 5 bits.

Step2: Use formula for highest - number representation

The formula for the highest number that can be represented by $n$ bits is $2^{n}-1$. Here $n = 5$, so we calculate $2^{5}-1$.
\[2^{5}-1=32 - 1=31\]

Answer:

C. 31