1-53Hex to BinaryTo convert a hex number to binary, set up the number in the block format you used in earlierconversions. Below each hex digit, write the four-digit binary equivalent. Observe the following example:Convert ABC_{16} to binary:Solution: ABC_{16} = 101010111100_{2}Hex to OctalJust like the conversion of octal to hex, conversion of hex to octal is a two-step procedure. First,convert the hex number to binary; and second, convert the binary number to octal. Let’s use the sameexample we used above in the hex to binary conversion and convert it to octal:Convert these base 16 numbers to their equivalent base 2 and base 8 numbers:Q87.23_{16}Q88.1B_{16}Q89.0.E4_{16}Q90.45.A_{16}CONVERSION TO DECIMALComputer data will have little meaning to you if you are not familiar with the various numbersystems. It is often necessary to convert those binary, octal, or hex numbers to decimal numbers. Theneed for understanding is better illustrated by showing you a paycheck printed in binary. A check in theamount of ,010,101.00_{2} looks impressive but in reality only amounts to 9.00_{10}

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