By Marshall C. Yovits

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For instance, if the device’s memory consisted of groups of twelve cells, four octal digits could be used to represent any stored value. Hexadecimal numbers (base 16) are used for representing values encoded in four binary digits. Since there are only ten decimal digits, the hexadecimal system borrows the first six letters of the alphabet (A, B, C, D, E, and F). The result is a set of sixteen symbols, as follows: 0 1 2 3 4 5 6 7 8 9 A B C D E F Chapter 1 12 Most modern computers are designed with memory cells, registers, and data paths in multiples of four binary digits.

When the routine concludes, the accumulator contains the binary equivalent of the digit string. 9. START ACCUMULATOR = 0 WEIGHT = 1 INITIALIZE BUFFER POINTER END OF STRING ? 9 Conversion of an ASCII-Decimal String into Binary The following function, named AscDec2Bin() receives as an argument a string of ASCII decimal digits, stored in an array of type char. The decimal digit string is converted into binary and returned to the caller in a variable of type unsigned long. The routine allows using commas as separators in the string of ASCII decimal digits.

START SETUP ACCUMULATOR INITIALIZE BUFFER POINTER VALID DIGIT ? 7 Flowchart for ASCII to Machine Register Conversion 1. Set up and initialize to zero a storage location for holding the value accumulated during conversion. Set up a pointer to the highest order ASCII digit. 22 Chapter 1 2. Test the ASCII digit for a value in the range 0 to 9. End of routine if the ASCII digit is not in this range. 3 Subtract 30H from ASCII decimal digit. 4. Multiply accumulated value by 10. 5. Add digit to accumulated value.

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