1-33You can see from the positional values that usually fewer symbol positions are required to express anumber in hex than in decimal. The following example shows this comparison:625_{16} is equal to 1573_{10}MSD and LSDThe most significant and least significant digits will be determined in the same manner as the othernumber systems. The following examples show the MSD and LSD of whole, fractional, and mixed hexnumbers:Addition of Hex NumbersThe addition of hex numbers may seem intimidating at first glance, but it is no different thanaddition in any other number system. The same rules apply. Certain combinations of symbols produce acarry while others do not. Some numerals combine to produce a sum represented by a letter. After a littlepractice you will be as confident adding hex numbers as you are adding decimal numbers.Study the hex addition table in table 1-6. Using the table, add 7 and 7. Locate the number 7 in bothcolumns X and Y. The point in area Z where these two columns intersect is the sum; in this case 7 + 7 =E. As long as the sum of two numbers is 15_{10} or less, only one symbol is used for the sum. A carry will beproduced when the sum of two numbers is 16_{10} or greater, as in the following examples:

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