News in Blue; BB King’s journey ends, Bill is sent on a new one ….

BB King to play The Great Stage in the Sky from here on out

In a coincidental twist of fate in the life of myself and that of the best guitar player I’ve ever heard play live…the same weekend I’m dreadfully disappointed by The Doheny Blues Festival follows just a day after God upgrade ol BB from a Las Vegas Casino Stage to one in heaven.

Knowing BB, AND God – I’d have to say God wanted a better seat. Lucille – his axe, unfortunately, can’t make the trip, but I like to think a soulful, soaring, lamenting, glorious, velvety voice such as his is something you Can take with you.

If there is no music in heaven; then I don’t want to go there. This begs the iconic Metaphor of “The Crossroads,” … to keep from getting OT I’ll discuss this unique in an upcoming post.

So upsetting to me…not his death…King lived a long life, loved his music, his guitar and most of all – performing live. I’d heard him play The Doheny Blues Festival three times over the course of my life and the festival’s tenure.

As good as Los Lobos was (I nearly missed them, three no-name bands followed)…and instead of paying tribute or even mentioning that the most influential blues singer/songwriter, guitarist of all time had recently passed away, they proceeded to play butchered hacky “blues” like “All Right Now,” literally, pop music 101 – a 12 bar blues in Bb. It was amateur night- all night. “You could Tell,” as Ace Rothstein would say. I heard pitch and ensemble problems to go with what amounted to cheesy cover bands that are technically NOT BLUES ENSEMBLES – weak rock/pop cover bands is what they were.

It busted my spirit for the whole affair. I did not return Sunday for Boz Scaggs. who’d been rescheduled due to weather (I think; that statement is not verified; they WERE INITIALLY SCHEDULED TO PERFORM SATURDAY NIGHT – THAT IS A FACT) I wanted to see them but could not drag myself back to the fest.

My bad. Sorry ’bout that.

Poor King’s body is still warm, and the bands standing in for him ON HIS OWN TURF – proceed to “phone in” weaksauce versions of music that was bad the FIRST TIME it was written.

An insult to his memory – I just couldn’t bring myself to come back – even for Boz Scaggs, whom now I’ve STILL never seen live.

Again…mea culpa.

To write an accurate obit for King is difficult; he led a generally private life, secluded from fame ROUGHLY more than half his life.

Steering clear of racist implications, according to his lawyer, King literally began his life a cotton-pickin ….errr…cotton picker! seriously. Though said to be 89 years old, I don’t think King was ever issued a birth-certificate. I could not verify when he was born OR his real name…leading me to believe he was born into indentured servitude on the Mississippi River Delta in the mid to late 20s.

His parents were most likely slaves in all but name.

“BB King” does not appear to be a stage name, but… born a “cotton-picker” in the Antebellum South; he may have chose his own name, or it was perhaps conferred by friends, family or fellow musicians in his youth.

BB King, according to medical sources, said he’d been in and out of a Vegas hospital for “mini-strokes.”

Thus the circumstances of his birth and death are foggy at best…but for a life well-lived and a towering musical legacy rivaling Louis Armstrong or John Lennon, with longevity and performance talent to rival “Mick n Keef” COMBINED…who cares how King was born? Who cares how he died?

In that vein, does it matter at all? To any of us? How we enter and exit these little lives of ours. Methinks it May NOT SO dear reader.

You never saw me come in, you won’t see me leave—-it is what I do at The Party that counts, #amirite?

For all the gloomy laments in the lyrical aspects of the Blues…there is no sadness to report in this here Obit. Just the love of his music:

Here’s to you, BB ….thanks for all the tunes, for going out to the Crossroads 50 years before me…for never “phoning in” a performance. I saw you enough times to know you were legit. Straight up. Legit. I’ll miss you. So will millions of other musicians and fans you entertained and inspired.

John Q. Public, I implore you see that Lucille makes her way either to The Smithsonian or at WORST, The Rock & Roll Hall of Fame. Somewhere where she will be safe and publicly viewable, though she should never be played again; in THIS writer’s humble opinion….unless he bequeathed his axe to another player. What musicians want to do with their weapons after they can’t swing ’em any longer is for them and them alone to decide.

No one will miss you more than her, old friend.

According to whomever posted the above vid to YouTube, “It was one of his all-time favorite performances.” That’s as hard verify as his DOB, but it fits the narrative. Another poster, uploaded the same video saying “he performed in New York City – at a jail” THIS DOES NOT QUITE FIT THE NARRATIVE.

a) The background, foreground, set & setting look nothing like a city jail or state prison…it looks like a regular ol’ stage
b) There are lots of women in the audience
c) Very few Law Enforcement visible, no one appears to be armed
d) Had King ever been allowed to donate his time and perform at a New York State Penitentiary …. it would not be in The City Proper, but Upstate. Again, one look at the audience tells you this was filmed in New York City; far from The hills and forests of Syracuse, Albany and Buffalo.
e) It is likely a copycat urban legend. Live music performances are OUTRAGEOUSLY rare for all state correctional facilities. The Man in Black was allowed to perform at Fulsom State Prison one of the oldest prisons in the nation – a crown jewel of The California Department of Corrections (an historic site-legendary and infamous), Cash did a bit there himself before making his come up. The show had to’ve been one for the ages. There are a million stories about Fulsom for every prisoner and CO who ever did time there. Cash’s live performance was part marketing stunt and part reward for long-term good behavior on behalf of the employees and inmates of Fulsom. Riots broke out immediately following the show, Fulsom went back on lockdown.

Bust.

Today, music is a strikingly precious thing inside the CDC. Some institutions do not allow inmates to buy or listen to radios. There are no musical instruments because they can be used as weapons. Visit a prison cell-block on any Friday Night where music is banned; and you will here them take-turns singing to their block, in groups or solo. It is lovingly called “American Idol Night” at CJX in Orange County and is the highlight of the week for many of the inmates.
f) the vid is a re-upload of a re-upload…reducing the credibility of the “creator” geometrically. (The oldest upload is embedded above for your listening pleasure – Pure, elegant, sonorous tones from King’s pipes and Lucy’s strings. Transcendent talent)

To the CDC – to all institutions – Take my money, my freedom, starve me, freeze me out, deprive me of sleep, force me to drink awful tap water. Violate my rights, railroad me in court, hit me with antisemitic, homophobic, racist and sexist comments on my way to the Chapel, Put me in constant danger….but please, please please oh please…don’t ever take away my music again. Air, water, food + music and I’m all good. You can keep your bogus “rights” if I can tap a drum pad in my cell and listen to awful top 40 radio…it beats NOTHING. Anything trumps nothing. QED.

Getting “The Blues” is usually misinterpreted as “being sad” or “depressed” or “whining about being underpriviledged or lonely” – through song. INCORRECT. That’s called “Mainstream Country Music.” Blues can express a wide range of emotion; particularly love.

As Rancid reminds us “When I got The Music, I got a place to go.” Nothing sad about that.

RIP B.B. King 1925 (est.) – 2015.

Side note: a work of historical fiction that takes place in the US during WWII starring Bill Feynman will publish soon. I’ve completed the first six chapters. It is my first attempt at such a form of writing; I hope you will enjoy reading it as much as I’m enjoying writing it.

Much Love – Tapper

The Binary Power Series and Java 1.8 ….

A numeric depiction of 18.44 Quintillion

Series follow a specific pattern and obey explicit, ineffable rules, like prime numbers….
1, 3, 5, 7, 11, 13, 17, 19, 23…. Or a times-table such as 9…. 18, 27, 36, 45, 54, 63, 72, 81, 90, 99. You get the idea, right? (I hope so or you’ll find this post incredibly boring).
Computers store information in bits. A bit is one memory cell that is known by the CPU to be TRUE or FALSE, one or zero. In the parlance of electrical engineering, this equates to either “very very low voltage” or “hardly any voltage at all.”
A byte is eight bits: 0000 0000 thru 1111 1111; 1-256

Consider 0000, 0001, 0010, 0011, 0100, 0101, 0111, 1111 -OR- (in English) one, two, three, four five six, seven, eight. To be literal, it’s actually zero through seven, but let’s not get muddy the waters or scare off any readers due to the “maths.” You don’t need to know much math to understand this information…. So a computer needs half of one byte in order to express “seven” to the world “1111.”

Eight bits comprises two to the eighth power (256) possible binary combos. That’s enough to create a color palette acceptable to the human eye, In RGB-space, three eight-bit numbers (0,0,0) being “K” or Black and (255,255,255) being White – or is it vice-versa? You can always go to www.org for quick reference on non-abstract, “code flavors” such as the above assertion. Ok, so three SETs of 256 bits can broadcast “Game of Thrones” on your laptop screen adequaetely. This is what makes 64-bit machines so exciting…64 is a small number….2^64 (which is the definition of a 64-bit sys) ACTUALLY equals about 18.5 QUINTILLION, or 18.5 x a trillion x a trillion. To give you an idea of size…if you started counting as fast as you could from the time you could speak…or comprehend it and count in your head; if you lived an avg. lifespan (~72.9 yrs) you’d be spitting out “one billion” with your last dying breath. A 64-bit system can express and count to a billion in fractions of a millisecond. So what concerns us about this TODAY?
With big data (all the rage) comes big numbers, so I’ve been thinking about them and toying with the limits of large number calculation and output using my laptop’s on-board calculator…it can express a google correctly using a semi-correct scientific notation: “1.e+100” –by that, Microsoft means to say “a one followed by 100 zeroes.” I have no way of knowing HOW they arrive at a correct answer to 10^100 considering that the largest unsigned long integer that can be stored in one memory cell by a 64-bit system is stated above..”a 1 followed by 19 numbers” … this means the Calculator App you use combines multiple long integers and uses extra memory to store anything above 2^64 = 18,446,744,073,709,551,616.

Using the Netbeans IDE, I created a program that asks the user to provide a number to act as a power of two. It then calculates and prints the subsequent results to the screen. Integers are preffered because they are fast, accurate and take up very little memory: 16 bits or 2 bytes, which can express numbers on the range of (-32678 to +32678). Integers (or “ints”) can ONLY BE WHOLE NUMBERS, that is, 1.5 is not an int, nor is e or pie or the square root of two.

Program output for common cases:
How many iterations of the Binary Power Series would you like to see calculated and printed?
0
Ok - you're the boss. No iterations--> no output
How many iterations of the Binary Power Series would you like to see calculated and printed?
1
Binary Power Series 2 to the power of 0 = 1
BUILD SUCCESSFUL (total time: 6 seconds)
How many iterations of the Binary Power Series would you like to see calculated and printed?
2
Binary Power Series 2 to the power of 0 = 1
Binary Power Series 2 to the power of 1 = 2
BUILD SUCCESSFUL (total time: 4 seconds)
How many iterations of the Binary Power Series would you like to see calculated and printed?
4
Binary Power Series 2 to the power of 0 = 1
Binary Power Series 2 to the power of 1 = 2
Binary Power Series 2 to the power of 2 = 4
Binary Power Series 2 to the power of 3 = 8
BUILD SUCCESSFUL (total time: 6 seconds)
How many iterations of the Binary Power Series would you like to see calculated and printed?
8
Binary Power Series 2 to the power of 0 = 1
Binary Power Series 2 to the power of 1 = 2
Binary Power Series 2 to the power of 2 = 4
Binary Power Series 2 to the power of 3 = 8
Binary Power Series 2 to the power of 4 = 16
Binary Power Series 2 to the power of 5 = 32
Binary Power Series 2 to the power of 6 = 64
Binary Power Series 2 to the power of 7 = 128
BUILD SUCCESSFUL (total time: 15 seconds)

How many iterations of the Binary Power Series would you like to see calculated and printed?
16
Binary Power Series 2 to the power of 0 = 1
Binary Power Series 2 to the power of 1 = 2
Binary Power Series 2 to the power of 2 = 4
Binary Power Series 2 to the power of 3 = 8
Binary Power Series 2 to the power of 4 = 16
Binary Power Series 2 to the power of 5 = 32
Binary Power Series 2 to the power of 6 = 64
Binary Power Series 2 to the power of 7 = 128
Binary Power Series 2 to the power of 8 = 256
Binary Power Series 2 to the power of 9 = 512
Binary Power Series 2 to the power of 10 = 1024
Binary Power Series 2 to the power of 11 = 2048
Binary Power Series 2 to the power of 12 = 4096
Binary Power Series 2 to the power of 13 = 8192
Binary Power Series 2 to the power of 14 = 16384
Binary Power Series 2 to the power of 15 = 32768
BUILD SUCCESSFUL (total time: 3 seconds)
How many iterations of the Binary Power Series would you like to see calculated and printed?
32
Binary Power Series 2 to the power of 0 = 1
Binary Power Series 2 to the power of 1 = 2
Binary Power Series 2 to the power of 2 = 4
Binary Power Series 2 to the power of 3 = 8
Binary Power Series 2 to the power of 4 = 16
Binary Power Series 2 to the power of 5 = 32
Binary Power Series 2 to the power of 6 = 64
Binary Power Series 2 to the power of 7 = 128
Binary Power Series 2 to the power of 8 = 256
Binary Power Series 2 to the power of 9 = 512
Binary Power Series 2 to the power of 10 = 1024
Binary Power Series 2 to the power of 11 = 2048
Binary Power Series 2 to the power of 12 = 4096
Binary Power Series 2 to the power of 13 = 8192
Binary Power Series 2 to the power of 14 = 16384
Binary Power Series 2 to the power of 15 = 32768
Binary Power Series 2 to the power of 16 = 65536
Binary Power Series 2 to the power of 17 = 131072
Binary Power Series 2 to the power of 18 = 262144
Binary Power Series 2 to the power of 19 = 524288
Binary Power Series 2 to the power of 20 = 1048576
Binary Power Series 2 to the power of 21 = 2097152
Binary Power Series 2 to the power of 22 = 4194304
Binary Power Series 2 to the power of 23 = 8388608
Binary Power Series 2 to the power of 24 = 16777216
Binary Power Series 2 to the power of 25 = 33554432
Binary Power Series 2 to the power of 26 = 67108864
Binary Power Series 2 to the power of 27 = 134217728
Binary Power Series 2 to the power of 28 = 268435456
Binary Power Series 2 to the power of 29 = 536870912
Binary Power Series 2 to the power of 30 = 1073741824
Binary Power Series 2 to the power of 31 = 2147483648
BUILD SUCCESSFUL (total time: 4 seconds)

….now let’s see what happens when we get close to 64 iterations:

How many iterations of the Binary Power Series would you like to see calculated and printed?
63
Binary Power Series 2 to the power of 0 = 1
Binary Power Series 2 to the power of 1 = 2
Binary Power Series 2 to the power of 2 = 4
Binary Power Series 2 to the power of 3 = 8
Binary Power Series 2 to the power of 4 = 16
Binary Power Series 2 to the power of 5 = 32
Binary Power Series 2 to the power of 6 = 64
Binary Power Series 2 to the power of 7 = 128
Binary Power Series 2 to the power of 8 = 256
Binary Power Series 2 to the power of 9 = 512
Binary Power Series 2 to the power of 10 = 1024
Binary Power Series 2 to the power of 11 = 2048
Binary Power Series 2 to the power of 12 = 4096
Binary Power Series 2 to the power of 13 = 8192
Binary Power Series 2 to the power of 14 = 16384
Binary Power Series 2 to the power of 15 = 32768
Binary Power Series 2 to the power of 16 = 65536
Binary Power Series 2 to the power of 17 = 131072
Binary Power Series 2 to the power of 18 = 262144
Binary Power Series 2 to the power of 19 = 524288
Binary Power Series 2 to the power of 20 = 1048576
Binary Power Series 2 to the power of 21 = 2097152
Binary Power Series 2 to the power of 22 = 4194304
Binary Power Series 2 to the power of 23 = 8388608
Binary Power Series 2 to the power of 24 = 16777216
Binary Power Series 2 to the power of 25 = 33554432
Binary Power Series 2 to the power of 26 = 67108864
Binary Power Series 2 to the power of 27 = 134217728
Binary Power Series 2 to the power of 28 = 268435456
Binary Power Series 2 to the power of 29 = 536870912
Binary Power Series 2 to the power of 30 = 1073741824
Binary Power Series 2 to the power of 31 = 2147483648
Binary Power Series 2 to the power of 32 = 4294967296
Binary Power Series 2 to the power of 33 = 8589934592
Binary Power Series 2 to the power of 34 = 17179869184
Binary Power Series 2 to the power of 35 = 34359738368
Binary Power Series 2 to the power of 36 = 68719476736
Binary Power Series 2 to the power of 37 = 137438953472
Binary Power Series 2 to the power of 38 = 274877906944
Binary Power Series 2 to the power of 39 = 549755813888
Binary Power Series 2 to the power of 40 = 1099511627776
Binary Power Series 2 to the power of 41 = 2199023255552
Binary Power Series 2 to the power of 42 = 4398046511104
Binary Power Series 2 to the power of 43 = 8796093022208
Binary Power Series 2 to the power of 44 = 17592186044416
Binary Power Series 2 to the power of 45 = 35184372088832
Binary Power Series 2 to the power of 46 = 70368744177664
Binary Power Series 2 to the power of 47 = 140737488355328
Binary Power Series 2 to the power of 48 = 281474976710656
Binary Power Series 2 to the power of 49 = 562949953421312
Binary Power Series 2 to the power of 50 = 1125899906842624
Binary Power Series 2 to the power of 51 = 2251799813685248
Binary Power Series 2 to the power of 52 = 4503599627370496
Binary Power Series 2 to the power of 53 = 9007199254740992
Binary Power Series 2 to the power of 54 = 18014398509481984
Binary Power Series 2 to the power of 55 = 36028797018963968
Binary Power Series 2 to the power of 56 = 72057594037927936
Binary Power Series 2 to the power of 57 = 144115188075855872
Binary Power Series 2 to the power of 58 = 288230376151711744
Binary Power Series 2 to the power of 59 = 576460752303423488
Binary Power Series 2 to the power of 60 = 1152921504606846976
Binary Power Series 2 to the power of 61 = 2305843009213693952
Binary Power Series 2 to the power of 62 = 4611686018427387904

Sixty-four is the borderline on accuracy using unsigned long integers (as stated above) so I coded it’s calculation and warning appropriately:

How many iterations of the Binary Power Series would you like to see calculated and printed?
64
Binary Power Series 2 to the power of 0 = 1
Binary Power Series 2 to the power of 1 = 2
Binary Power Series 2 to the power of 2 = 4
Binary Power Series 2 to the power of 3 = 8
Binary Power Series 2 to the power of 4 = 16
Binary Power Series 2 to the power of 5 = 32
Binary Power Series 2 to the power of 6 = 64
Binary Power Series 2 to the power of 7 = 128
Binary Power Series 2 to the power of 8 = 256
Binary Power Series 2 to the power of 9 = 512
Binary Power Series 2 to the power of 10 = 1024
Binary Power Series 2 to the power of 11 = 2048
Binary Power Series 2 to the power of 12 = 4096
Binary Power Series 2 to the power of 13 = 8192
Binary Power Series 2 to the power of 14 = 16384
Binary Power Series 2 to the power of 15 = 32768
Binary Power Series 2 to the power of 16 = 65536
Binary Power Series 2 to the power of 17 = 131072
Binary Power Series 2 to the power of 18 = 262144
Binary Power Series 2 to the power of 19 = 524288
Binary Power Series 2 to the power of 20 = 1048576
Binary Power Series 2 to the power of 21 = 2097152
Binary Power Series 2 to the power of 22 = 4194304
Binary Power Series 2 to the power of 23 = 8388608
Binary Power Series 2 to the power of 24 = 16777216
Binary Power Series 2 to the power of 25 = 33554432
Binary Power Series 2 to the power of 26 = 67108864
Binary Power Series 2 to the power of 27 = 134217728
Binary Power Series 2 to the power of 28 = 268435456
Binary Power Series 2 to the power of 29 = 536870912
Binary Power Series 2 to the power of 30 = 1073741824
Binary Power Series 2 to the power of 31 = 2147483648
Binary Power Series 2 to the power of 32 = 4294967296
Binary Power Series 2 to the power of 33 = 8589934592
Binary Power Series 2 to the power of 34 = 17179869184
Binary Power Series 2 to the power of 35 = 34359738368
Binary Power Series 2 to the power of 36 = 68719476736
Binary Power Series 2 to the power of 37 = 137438953472
Binary Power Series 2 to the power of 38 = 274877906944
Binary Power Series 2 to the power of 39 = 549755813888
Binary Power Series 2 to the power of 40 = 1099511627776
Binary Power Series 2 to the power of 41 = 2199023255552
Binary Power Series 2 to the power of 42 = 4398046511104
Binary Power Series 2 to the power of 43 = 8796093022208
Binary Power Series 2 to the power of 44 = 17592186044416
Binary Power Series 2 to the power of 45 = 35184372088832
Binary Power Series 2 to the power of 46 = 70368744177664
Binary Power Series 2 to the power of 47 = 140737488355328
Binary Power Series 2 to the power of 48 = 281474976710656
Binary Power Series 2 to the power of 49 = 562949953421312
Binary Power Series 2 to the power of 50 = 1125899906842624
Binary Power Series 2 to the power of 51 = 2251799813685248
Binary Power Series 2 to the power of 52 = 4503599627370496
Binary Power Series 2 to the power of 53 = 9007199254740992
Binary Power Series 2 to the power of 54 = 18014398509481984
Binary Power Series 2 to the power of 55 = 36028797018963968
Binary Power Series 2 to the power of 56 = 72057594037927936
Binary Power Series 2 to the power of 57 = 144115188075855872
Binary Power Series 2 to the power of 58 = 288230376151711744
Binary Power Series 2 to the power of 59 = 576460752303423488
Binary Power Series 2 to the power of 60 = 1152921504606846976
Binary Power Series 2 to the power of 61 = 2305843009213693952
Binary Power Series 2 to the power of 62 = 4611686018427387904
Binary Power Series 2 to the power of 63 = -9223372036854775808
The longest integer that can be expressed correctly is 4611686018427387904
appx. 4.61 QUINTILLION (4.61E18)
***Requests for over 64 iterations return bad data***
BUILD SUCCESSFUL (total time: 3 seconds)

Note that the 64th iteration (array in location 63 is NEGATIVE…this is obviously not the correct answer. I capped the size of the long int array at 65 memory cells, hence …while it WILL compile (using the std gcc compiler) it will throw an exception and kill the program for values OVER 64:
Exception in thread "main" java.lang.ArrayIndexOutOfBoundsException: 65
Here is the source code I wrote if you’d like to try out my logic, tweak it, or scope-out my old-school design style (it is only lightly code-golfed; the abbreviations the kids use today make for confusing code. I try to use Object-Oriented variable identifiers to make definitive and concise use of comments as well as a style I learned from my days as a Cal Poly CSC Code-monkey:

/* Author: Chris "Tapper" Welke
* dist under the GNU Public License.
* This program tests the upper limit of numbers (long ints)
* of the NetBeans IDE v8.0.2 via the rapid geometric growth
* inherent to The Binary Power Series (BPS). 1, 2, 4, 8, 16 ....
* Two to the 64th power is the highest integer in the series
* it can calculate correctly unaided by extra memory/variables/logic
* Last stable build at Self-Similarity Studios & Tapper7.com,
* Los Angeles, CA 5/15/2015
*/
package series;
import java.util.Scanner;
class BPSeries{
protected static String Name = "Binary Power Series ";
protected static int Base = 2;
public static int gIN(){/**
* This fxn gets and sets the number of BPS iterations from the user
* a warning is displayed for n = 64 and an exception is thrown for n > 64
*/
int userInput;
System.out.println("How many iterations of the " + Name + "would you like to see calculated and printed?");
Scanner in = new Scanner(System.in);
userInput = in.nextInt();
return userInput;
}//end UI gIN
public static void main(String[] arg){
//getNset user-defined number of iterations:
int sIts = BPSeries.gIN();
//declare and allocate space for the cells
int cellKit = 65; //throw exception for >64 pwrs of 2
long[] sCells = new long[cellKit];
int pwr = 0; //initialize superscript
int i = 1; //initialize cell iterator
sCells[0] = 0; //null
sCells[1] = 1; //set cell one to 1 since n^0 = 1 for all n
switch(sIts){
case 0:
System.out.println("Ok - you're the boss. No iterations--> no output");
break;
case 1:
System.out.println(BPSeries.Name + BPSeries.Base + " to the power of " +pwr+ " = "+sCells[i]);
i++; pwr++;
break;
default:
System.out.println(BPSeries.Name + BPSeries.Base +" to the power of 0 = 1");
sCells[3]=(sCells[2]*BPSeries.Base);
i++; pwr++;
while (i<=sIts){ sCells[i]= (sCells[i-1] * BPSeries.Base); System.out.println(BPSeries.Name + BPSeries.Base + " to the power of "+pwr+" = "+sCells[i]); i++; pwr++; }//end while if(sIts>63){//exception notification/handling for 64 bit chipset
System.out.println("The longest integer that can be expressed correctly is "+ sCells[63]);
System.out.println("appx. 4.61 QUINTILLION (4.61E18)");
System.out.println("***Requests for over 64 iterations return bad data***");
}//endIF
}//end switch
}//end main
}//end BPS

A graphical analysis and more tests will follow this discussion; as well as highlights from
The Doheny Blues Festival, which begins tomorrow, I will review Boz Scaggs and hopefully Los Lobos too. Come get your tap on w/ me this weekend. Boz Scaggs!!! []

Today’s algorithm and number-musings sponsored by: