Episode 7.05 – Flipping Bits using the Bitwise Inverse and Bitwise-XOR

Inverting or flipping the bits of an integer is the third and last method of “bit bashing” we will discuss. There are two ways to invert bits: either flip all of them at once or use a mask to identify which bits to flip and which to leave alone

Episode 6.04 – Four-Variable Karnaugh Map Example

Many digital designs begin with a truth table. In this episode, we do just that, and then create the simplified sum-of-products expression by way of the Karnaugh map

Episode 5.01 – The Sum-of-Products Expression

Who knew how easy it would be to derive a Boolean expression from a truth table? By following a few simple steps, sum-of-products expressions are quickly converted to and from truth tables. In addition, the SOP expression is a heck of a performer

Episode 2.3 – Hexadecimal or Sixteen ways to nibble at binary

Binary can be challenging. The values tend to have a lot of digits, long sequences of ones or zeros can be difficult to distinguish, and the relative magnitudes of multiple binary values can be difficult to resolve. In this episode, we discuss a couple of the popular methods to quickly represent binary in a more human readable form

Episode 2.10 – Gray Code Conversion and Applications

We continue our discussion of Gray code by presenting algorithms used to convert between the weighted numeral system of unsigned binary and the Gray code ordered sequence. We also show how to implement these algorithms in our code

Episode 3.01 – Adding and Subtracting Ones and Zeros

It may sound trivial, but in this episode we’re going to learn to add and subtract…in binary. This will serve as a basis for learning about negative binary representations and the circuitry needed to perform additions in hardware

Episode 7.06 – Stupid Binary Tricks

Having learned how to program bitwise operations, it is now time to flex our bit bashing muscles by investigating some creative ways to perform common programming functions

Episode 6.03 – Makin’ Rectangles

Let’s expand the capabilities of Karnaugh maps to combine more than just two rows of the truth table into a single product

The Association between Agitation and Dysphagia Diet Levels of Persons with Traumatic Brain Injury

Agitation after a traumatic brain injury (TBI) can have a major impact on the rehabilitation process. Agitation can also impact one’s ability to swallow correctly (dysphagia.) A decrease in cognitive function and behavioral control that characterizes agitation may interfere with the understanding of the normal swallowing process: the procedures and maneuvers, and the sensation and awareness of the bolus. This loss of cognitive ability may require a modification to the patient’s diet. The purpose of this study was to determine the association between agitation after a traumatic brain injury and diet restrictions. The methods included reviewing archived data from the TBI Practice-Based Evidence Study held at The Dodd Hall Rehabilitation Hospital at The Ohio State University. Data from ten patients were analyzed. The patients’ agitation levels from three time segments per day were plotted against their diet consistency. Data points from the patients’ FIM™ Cognitive scores were also plotted to show the patients’ cognitive progression. A range of patterns were observed, suggesting that therapists may have made diet levels less restricted due to a variety of factors, such as an improvement with the physical structures related to the swallowing process. The results of this study can help inform clinicians about the recovery process of patients with traumatic brain injury.College of Arts and Sciences Research ScholarshipSocial and Behavioral Sciences AwardNo embargoAcademic Major: Speech and Hearing Scienc

Episode 4.07 – Identities of Boolean Algebra

We are familiar with algebraic laws such as multiply zero by anything, and we get zero. In this episode, we see how a Boolean expression containing a constant, a duplicated signal, or a signal being combined with its inverse will simplify…always