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Author: Admin | 2025-04-28
Have 1 eight , No fours, 1 two, No units = 1010 = 23+ 21.Example 2: Decimal 13 to binary code1 eight , 1 four, 0 two, 1 units = 1101.Example 3: Decimal 7 to binary code0 eight , 1 four, 1 two, 1 units = 0111.Answers to try it yourself questions1001 binary = 91100 binary = 12Bytes and Octets and Hexadecimal NumbersIn computers, coding and networking 8 bit numbers are common.An 8 bit number is known as an octet, and also more commonly it is called a byte. See Wiki for details.Binary to Decimal and Decimal to Binary Conversion 8 Bit NumbersAn 8 bit binary number can represent a maximum of decimal 255= binary 11111111.Calculated as follows:1*128 +1*64+1*32+1*16+1*8+1*4+1*2+1= decimal 255Here is another 8 bit binary number –01101011. To convert it to decimal we write the number with the column numbers above, as follows:Note: Error in image above should be 2 power 2 and not 3.if we convert our columns to decimal equivalents using the following chart.then the binary number 01101011 = 1*1 +1*2+0*4+1*8+0*16+1*32+1*64+0*128=64+32+8+2+1= 107Notice it consists purely of 1’s and 0’s.To convert this number into decimal we need to understand what each 1 represents.If we write the column values above the numbers then it becomes easy to convert the binary number to decimal.Decimal to Binary Conversion ExampleA final larger example convert decimal 200 to binary code200=128+64+8=27+ 26+ 23 =11001000Once you are happy with the process then you can use a binary to decimal calculator like the one on windows.This converts binary numbers to decimaland this converts decimal numbers to binaryUnderstanding Hexadecimal NumbersA hexadecimal number (base 16) requires 4 bits and and has a maximum value of 15. It uses the symbols 0-9,A,B,C,D,E,F.They are represented in binary form as follows:0000=00001=10010=20011=30100=4..1010=A1011=B1100=C1101=D1110=E1111=FA byte (8 bits) can be represented as two hexadecimal numbers.soFF=binary
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