Binary to Octal ConversionTo convert from an integer binary number to octal we follow the following two steps:1. First break the binary number into 3-bit sections from the LSB to the MSB.2. And then convert the 3-bit binary number to its octal equivalent.ExampleConvert 11001011010001 into Octal.You need to apply two steps on this number as follows:1. First break the binary number into 3-bit sections from the LSB to the MSB.2. And then convert the 3-bit binary number to its octal equivalent.3-bit Section of Binary Number 011 001 011 010 001 Equivalent number 3 1 3 2 1Thus, the Octal equivalent to the binary number 11001011010001 = 31321.Octal to Binary ConversionTo convert from octal to binary you should do the opposite of above. The two steps are:1. Take the Octal number and separate the numbers, e.g. 743 will be 7-4-3 2. Convert the Octal number into its 3-bit binary equivalent.Octal number 7 4 33-bit binary equivalent 111 100 011Therefore, the Octal number 743 in binary = 000111100011.Page 1 of 3Least SignificantBit (LSB)Most SignificantBit (MSB)Binary to Hexadecimal ConversionTo convert from an integer binary number to hexadecimal we follow the following two steps:1. First break the binary number into 4-bit sections from the LSB to the MSB.2. And then convert the 4-bit binary number to its hex equivalent.ExampleConvert 1000100100110111 into Hex.You need to apply two steps on this number as follows:1. First break the binary number into 4-bit sections from the LSB to the MSB.2. And then convert the 4-bit binary number to its hex equivalent.4-bit Section of Binary Number 1000 1001 0011 0111Equivalent number 8 9 3 7Thus the Hex equivalent to the binary number 1000100100110111 = 8937.Remember, in hexadecimal the numbers are:Decimal Hex1 12 23 34 45 56 67 78 89 910 A11 B12 C13 D14 E15 FPage 2 of 3Least SignificantBit (LSB)Most SignificantBit (MSB)Hex to Binary ConversionTo convert from hex to binary you should do the opposite of above. The two steps are:1. Take the Hex number and separate the numbers, e.g. 4DA1 will be 4-D-A-1 2. Convert the Hex number into its 4-bit binary equivalent.Hex number 4 D A 14-bit binary equivalent 0100 1101 1010 0001(Remember; A=10, B=11, C=12, D=13, E=14, F=15).Therefore, the Hex number 4DA1 in binary = 0100110110100001.Page 3 of
View Full Document