Of this tutorial examines how these methods can be extended to larger
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Techniques generalize in useful ways, for example, to the problem of doingĦ4 bit binary to decimal conversion using a 32 bit ALU.
This situation is common on small microcontrollers, and the
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The focus of this tutorial is on writing fast code to convert unsigned 16 bitīinary numbers to decimal on a machine with an 8-bit ALU and no divide Hardware and because, even when such hardware is available, it is of littleĭirect use when dividing numbers larger than the ALU can handle. These assumptions are not always reasonable, bothīecause many commercially successful computers do not include division The arithmetic unit can conveniently do integer division yielding both a Unit is sufficiently large to handle the entire number n, and it assumes that The problem with this C code is that it assumes that the computer's arithmetic Suppose, forĮxample, you have an unsigned binary number that you wish to print out inĭecimal form. These problems have neverīeen insurmountable, but they are particularly annoying when writing programsįor machines with limited capacity in their arithmetic units. Numeric data should be represented in base 10. When dealing with textual input-output because of our convention that printed Programmers on binary computers have always faced computational problems
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