Posts Tagged lessons
📅 July 19, 2017
📅 July 14, 2017
📅 July 13, 2017
In order for the light to turn on, both switches must be on, but if either switch is turned off or if both switches are turned off, then the light is off.
📅 November 18, 2014
This requires a good understanding of the binary place value system, and the better it is memorized, the easier binary division will be.
Also, binary division offers extensive practice with binary subtraction. We saved binary division until after we had introduced at least two methods for binary subtraction because the most involving part of binary division is the subtraction itself.
Sometimes, we must also add a radix point for values not easily divisible by the given number. If this happens, keep in mind that an exact value might not be possible, as in the case of irrational numbers, so it will be necessary to stop at a certain number of digits for a close approximation. The exact point at which this occurs will depend upon experience…or if your fingers get tired, or if you run out of pencil lead, or if you get lost in the seemingly endless series of zeros.
⌚ November 3, 2014
In Lesson 10, we saw how to perform binary subtraction using a set of rules for each column of bits.
Now that we have seen how to use signed numbers in binary, we can subtract in binary by performing algebraic addition using the two’s complement method.
Neither technique is more correct than the other. They are two different ways that produce the same result.
Personally, I find the two’s complement method to be easier to compute than the longhand method. It might sound conflicting to “subtract” by “adding,” but that is what we are doing when we add two signed numbers together with opposite signs. (+5) + (-3) = 2, which is the same as 5 – 3 = 2. Same result, but two different thought processes.
⌚ October 27, 2014
Signed numbers are either positive or negative in value. If the number is preceded by a minus sign, then the number is negative. If no sign is present or if the number is preceded by a plus sign, then the number is positive.
-5 Negative 5 +5 Positive 5 5 Positive 5 (+ symbol omitted) -100 Negative 100 8 Positive 8
(The value zero has no sign because nothing is nothing. Therefore, +0 and -0 are pointless.)
We can express signed numbers in binary in the same way, but there are a few points to be aware of to ensure correct mathematical results.