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The format, meaning, and translation of the pseudo operators is as follows: The specifics of the check will not be covered at this point as it involves bne and break instructions. In addition to executing a division instruction, this pseudo instruction also checks for a zero divide. It is a 3 address format, but is still a pseudo instruction. The second format of the div operator is a pseudo instruction. The format and meaning of this operator is: The operator divides R s by R t and stores the result in the register pair with the quotient in the lo and the remainder in the hi. The first format is the only real format of this operator. Now that the fundamentals of integer division have been covered, there are two MIPS division operators that will be looked at. If the programmer wants to round the number, this can be implemented using the remainder (see problems at the end of Chapter 5). This means that in MIPS integer arithmetic when the quotient is taken from the low register the results will be truncated. In MIPS, when integer division is done, the lo register will contain the quotient, and the hi register will contain the remainder. In this equation, the value 5 is called the divisor, the 17 is the dividend, 3 is the quotient, and 2 is the remainder. The result of 17 divided by 5 would be the following: Remember how division was done when it was introduced to you in elementary school.
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To understand division, we will again begin with a base 10 example. The reader is thus asked to just believe that two registers are needed, and that MIPS will again use the registers hi and lo. The reason for this has to do with how the hardware calculates the result, and is harder to explain without considering the hardware used, which is beyond the scope of this textbook. An improper fraction is a fraction where the numerator (top number is greater than or equal to the denominator (bottom number).Division, like multiplication requires two registers to produce an answer. Improper fraction button is used to change a number of the form of 1 4/5 to the form of 9/5. A proper fraction is a fraction where the numerator (top number) is less than the denominator (bottom number).
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Proper fraction button is used to change a number of the form of 9/5 to the form of 1 4/5. When you choose the one the other is switched off. Proper fraction button and Improper fraction button work as pair. If the fraction of decimal is part of a calculation, omit clicking equals and continue with the calculation. Click the fraction format button, enter a decimal, click equals and then click on a fraction form and then click equals. Also to change a decimal of the form 0.5 to the fraction 1/2, or change a decimal of the form 1.75 to a mixed number of the form 1 3/4 or to the fraction 7/4, or a fraction of the form 7/4 to the mixed number 1 3/4. 3/4 DEC x 6 =.įraction format button is used to work with all fractions. If the fraction or mixed number is only part of the calculation then omit clicking equals and continue with the calculation per usual. Click on the decimal format button, enter a fraction or mixed number, then click equals. Also to change a fraction of the form 3/4 to the decimal 0.75, or a fraction of the form 7/4 or a mixed number of the form 1 3/4 to the decimal 1.75. When you choose the one the other is switched off.ĭecimal format button is used for all decimal work. Enter a number, then click fraction space, click another number and then click on the fraction bar button, lastly enter another number.ĭecimal format button and Fraction format button work as pair. You can use fraction space button to create a number of the form 5 3/4. Click a number and then click fraction bar, then click another number.