when it will always equal the largest number that can be represented by that number of bits. if you want to…

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

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

Answer

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