Chapter 16 Binary and Hexadecimal Numbers

§16.2 thru 16.3 – Addition and Subtraction of Binary Numbers Binary = Base 2 Addition and subtraction are similar to base 10 – Can be checked using base 10 conversion – Will not learn 1’s complement method To find 101 – , find – 101 and make it negative Not responsible for negative answers

§16.5 – Conversion from decimal to binary Image on p. 530 provides the following algorithm – Changing a Number from Decimal to Binary 1.Write the number in decimal form 2.Divide it by 2 3.Write the quotient below and the remainder to the right 4.Continue this process until final quotient is 0 5.The binary form of the decimal number is obtained by reading the remainders from the bottom to the top

§16.7 – Hexadecimal System Hexadecimal = Base 16 – 16 ‘digits’ are needed: 0, 1, 2, 3, 4,,5, 6, 7, 8, 9, A, B, C, D, E, F Expanded form and converting to decimal Converting Decimal to Hexadecimal (image p. 533) 1.Write the number in decimal form 2.Divide it by 16 3.Write the quotient below and the remainder to the right 4.Continue this process until final quotient is 0 5.The hexadecimal form of the decimal number is obtained by reading the remainders from the bottom to the top

§16.8 – Addition and Subtraction of Hexadecimal Numbers Addition and subtraction are similar to base 10 – Can be checked using base 10 conversion – Will not learn complementary pairs method To find AD – 1231, find 1231 – AD and make it negative Not responsible for negative answers

§16.9 – Binary to Hexadecimal Conversion One way to convert Binary to Hex – Binary to Decimal to Hex Shortcut exists because 2 4 = 16 – Every 4 digits in binary equate to one digit in hex Convert binary to hex Convert hex to binary

§16.10 – Hexadecimal Code for colors Colors in computers are stored in hex – Primary colors: Red, Green, Blue Red:FF0000 Green:00FF00 Blue:0000FF – Colors can be made with different ‘quantities’ of Red, Green, and Blue