What is the maximum decimal value of a binary octet represented as 1111 1111?

Study for the CCNA Certification Exam. Utilize Anki flashcards and multiple choice questions, complete with hints and explanations. Prepare thoroughly for success in your exam!

A binary octet consists of 8 bits, and it can represent values from 0 to 255 in decimal. In the representation of 1111 1111, each digit (bit) corresponds to a specific power of 2, specifically:

  • The first bit (from the right) is (2^0)
  • The second bit is (2^1)

  • The third bit is (2^2)

  • The fourth bit is (2^3)

  • The fifth bit is (2^4)

  • The sixth bit is (2^5)

  • The seventh bit is (2^6)

  • The eighth bit is (2^7)

In the binary representation 1111 1111, all bits are set to 1. Therefore, the calculation to convert it to decimal involves summing the values of each bit where a 1 is present:

[

2^7 + 2^6 + 2^5 + 2^4 + 2^3 + 2^2 + 2^1 + 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 +

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy