# Write an equation parallel to the given line

To avoid this vicious circle certain concepts must be taken as primitive concepts; terms which are given no definition. When the line concept is a primitive, the behaviour and properties of lines are dictated by the axioms which they must satisfy. CRC properties are defined by the generator polynomial length and coefficients. The protocol specification usually defines CRC in hex or polynomial notation.

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This CRC is implemented in hardware as a shift register as shown in the following picture. The problem is that in many cases shift register implementation is suboptimal.

It only allows the calculation of one bit every clock. If a design has bit wide datapath, meaning that every clock CRC module has to calculate CRC on bit of data, this scheme will not work. Somehow this serial shift register implementation has to be converted into a parallel N-bit wide circuit, where N is the design datapath width, so that every clock N bits are processed.

I started researching the available literature on parallel CRC calculation methods and found only a handful of papers ,  that deal with this issue.

Most sources are academic and focus on the theoretical aspect of the problem. They are too impractical to implement in software or hardware for a quick code generation. C, Java, Perl, Verilog, etc. Each value is one-hot encoded, that is there is only one bit set. The output is M-bit wide, which the desired CRC width.

The participating inputs are XORed together.I am designing an Ethernet application where I am required to form the packet payload at a rate of bits each clock. However, each clock, from 1 to 4 of the bit words forming the bits will be valid. Write the equation for a line that is a parallel or perpendicular to a line given in slope-intercept form and goes through a specific point.

benjaminpohle.com is a free interactive C tutorial for people who want to learn C, fast. Mathematics Glossary» Glossary Print this page. Addition and subtraction within 5, 10, 20, , or Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range , , , or , respectively. Click on Submit (the arrow to the right of the problem) and scroll down to “Find the Angle Between the Vectors” to solve this problem.

You can also type in more problems, or click on the 3 dots in the upper right hand corner to drill down for example problems. Free parallel line calculator - find the equation of a parallel line step-by-step.

Practice finding the equation of a line passing through two points. How do you write the equation of a line that is parallel to a given line? The new line must have the same slope as the given line, but the y-intercepts will be different. What is the point-slope form for the equation of a line? Mathematics Glossary» Glossary Print this page. Addition and subtraction within 5, 10, 20, , or Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range , , , or , respectively.
Write equations of parallel & perpendicular lines | Analytic geometry (practice) | Khan Academy