Binary Review
- 1. BINARYDeveloped by Peter Smith
- 2. The binary system uses only 2 values “0 & 1” to represent numbers in positions representing increasing powers of 2.We all are accustomed to thinking & working in the decimal system, which is based on the number 10.Peter Smith2Thinking in Binary
- 3. To most humans, the number 124represents 100 + 20 + 4.To the computer, this number is 1111100, which is 64 (26) + 32 (25) + 16 (24) + 8 (23) + 4 (22) + 0 + 0Peter Smith3Thinking in Binary
- 4. Each position in a binary number represents, right to left, a power of two beginning with 20 & increasing by one power as it moves left: 20, 21, 22, 24, etc.Peter Smith4Thinking in Binary
- 5. You’ll need to convert binary to decimal & vice versa to compute subnets & hosts.So, it’s time for a quick review lesson in binary-to-decimal conversion.There are 8 bits in an octet & each bit can only be a 1 or a 0.Peter Smith5Converting to Decimal
- 6. What then do you suppose is the largest decimal number that can be expressed in an octet?Peter Smith6Converting to DecimalEight 1’s (1111 1111)
- 7. Therefore, the largest decimal number that can be stored in an IP address octet is 255.The significance of this should become evident later in this presentation.Peter Smith7Converting to Decimal
- 8. Peter Smith8Converting to Decimal2726252423222120111111111286432168421 The binary number 1111 1111 converts into the decimal number:128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255Now, for double the money, what is its equivalent decimal value?