Base-16 representation: Difference between revisions

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#REDIRECT [[Base_16_numbers_needing_a_to_f]]
{{Draft task}}

;Task:
Show in decimal notation all positive integers (less than '''501''') which, when converted to hexadecimal notation, cannot be written without using at least one non-decimal digit ('a' to 'f').
<br><br>

=={{header|BCPL}}==
<lang bcpl>get "libhdr"

let nondec(x) =
x = 0 -> false,
#XA <= (x & #XF) <= #XF -> true,
nondec(x >> 4)
let start() be
$( let c = 0
for n=1 to 500
if nondec(n)
$( writed(n,4)
c := c + 1
if c rem 20=0 then wrch('*N')
$)
wrch('*N')
$)</lang>
{{out}}
<pre> 10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59
60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109
110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199
200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239
240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269
270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319
330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379
380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419
420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459
460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479
480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499
500</pre>

=={{header|C++}}==
<lang cpp>#include <iomanip>
#include <iostream>

// Returns true if the hexadecimal representation of n contains at least one
// non-decimal digit.
bool nondecimal(unsigned int n) {
for (; n > 0; n >>= 4) {
if ((n & 0xF) > 9)
return true;
}
return false;
}

int main() {
unsigned int count = 0;
for (unsigned int n = 0; n < 501; ++n) {
if (nondecimal(n)) {
++count;
std::cout << std::setw(3) << n << (count % 15 == 0 ? '\n' : ' ');
}
}
std::cout << "\n\n" << count << " such numbers found.\n";
}</lang>

{{out}}
<pre>
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44
45 46 47 58 59 60 61 62 63 74 75 76 77 78 79
90 91 92 93 94 95 106 107 108 109 110 111 122 123 124
125 126 127 138 139 140 141 142 143 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169 170 171 172 173 174
175 176 177 178 179 180 181 182 183 184 185 186 187 188 189
190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
205 206 207 208 209 210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234
235 236 237 238 239 240 241 242 243 244 245 246 247 248 249
250 251 252 253 254 255 266 267 268 269 270 271 282 283 284
285 286 287 298 299 300 301 302 303 314 315 316 317 318 319
330 331 332 333 334 335 346 347 348 349 350 351 362 363 364
365 366 367 378 379 380 381 382 383 394 395 396 397 398 399
410 411 412 413 414 415 416 417 418 419 420 421 422 423 424
425 426 427 428 429 430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449 450 451 452 453 454
455 456 457 458 459 460 461 462 463 464 465 466 467 468 469
470 471 472 473 474 475 476 477 478 479 480 481 482 483 484
485 486 487 488 489 490 491 492 493 494 495 496 497 498 499
500

301 such numbers found.
</pre>

=={{header|F_Sharp|F#}}==
<lang fsharp>
// Base 16 representation: Nigel Galloway. June 3rd., 2021
let rec fN g=match g%16,g/16 with (n,0)->9<n |(n,g) when n<10->fN g |_->true
seq{1..500}|>Seq.filter fN|>Seq.iter(printf "%d "); printfn ""
</lang>
{{out}}
<pre>
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500
</pre>
=={{header|Factor}}==
The <code>non-decimal?</code> word is a translation of C++'s <code>nondecimal</code> function. Having multiple exit points in a word is not very efficient (yet?) in Factor, so I've tweaked it to have one exit point at the end.

{{works with|Factor|0.99 2021-02-05}}
<lang factor>USING: combinators formatting grouping io kernel lists
lists.lazy math prettyprint sequences ;

! Returns t if the hexadecimal representation of n contains a
! non-decimal digit.
: non-decimal? ( n -- ? )
{
{ [ dup zero? ] [ drop f ] }
{ [ dup 0xF bitand 9 > ] [ drop t ] }
[ -4 shift non-decimal? ]
} cond ;

1 lfrom [ non-decimal? ] lfilter [ 501 < ] lwhile
list>array dup 15 group [ [ "%3d " printf ] each nl ] each nl
length pprint " such numbers found." print</lang>
{{out}}
<pre>
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44
45 46 47 58 59 60 61 62 63 74 75 76 77 78 79
90 91 92 93 94 95 106 107 108 109 110 111 122 123 124
125 126 127 138 139 140 141 142 143 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169 170 171 172 173 174
175 176 177 178 179 180 181 182 183 184 185 186 187 188 189
190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
205 206 207 208 209 210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234
235 236 237 238 239 240 241 242 243 244 245 246 247 248 249
250 251 252 253 254 255 266 267 268 269 270 271 282 283 284
285 286 287 298 299 300 301 302 303 314 315 316 317 318 319
330 331 332 333 334 335 346 347 348 349 350 351 362 363 364
365 366 367 378 379 380 381 382 383 394 395 396 397 398 399
410 411 412 413 414 415 416 417 418 419 420 421 422 423 424
425 426 427 428 429 430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449 450 451 452 453 454
455 456 457 458 459 460 461 462 463 464 465 466 467 468 469
470 471 472 473 474 475 476 477 478 479 480 481 482 483 484
485 486 487 488 489 490 491 492 493 494 495 496 497 498 499
500

301 such numbers found.
</pre>

=={{header|Forth}}==
{{works with|Gforth}}
<lang forth>\ Returns true if the hexadecimal representation of n contains at least one
\ non-decimal digit.
: non-decimal ( u -- ? )
begin
dup 0 >
while
dup 15 and 9 > if
drop true exit
then
4 rshift
repeat
drop false ;

: main
0
501 0 do
i non-decimal if
1+
i 3 .r
dup 15 mod 0= if cr else space then
then
loop
cr cr . ." such numbers found." cr ;

main
bye</lang>

{{out}}
<pre>
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44
45 46 47 58 59 60 61 62 63 74 75 76 77 78 79
90 91 92 93 94 95 106 107 108 109 110 111 122 123 124
125 126 127 138 139 140 141 142 143 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169 170 171 172 173 174
175 176 177 178 179 180 181 182 183 184 185 186 187 188 189
190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
205 206 207 208 209 210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234
235 236 237 238 239 240 241 242 243 244 245 246 247 248 249
250 251 252 253 254 255 266 267 268 269 270 271 282 283 284
285 286 287 298 299 300 301 302 303 314 315 316 317 318 319
330 331 332 333 334 335 346 347 348 349 350 351 362 363 364
365 366 367 378 379 380 381 382 383 394 395 396 397 398 399
410 411 412 413 414 415 416 417 418 419 420 421 422 423 424
425 426 427 428 429 430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449 450 451 452 453 454
455 456 457 458 459 460 461 462 463 464 465 466 467 468 469
470 471 472 473 474 475 476 477 478 479 480 481 482 483 484
485 486 487 488 489 490 491 492 493 494 495 496 497 498 499
500

301 such numbers found.
</pre>

=={{header|Julia}}==
<lang julia>usesletters = filter(n -> begin s = string(n, base = 16); any(c -> c in s, collect("abcdef")) end, 1:500)

foreach(p -> print(rpad(p[2], 4), p[1] % 15 == 0 ? "\n" : ""), enumerate(usesletters))
</lang>{{out}}
<pre>
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44
45 46 47 58 59 60 61 62 63 74 75 76 77 78 79
90 91 92 93 94 95 106 107 108 109 110 111 122 123 124
125 126 127 138 139 140 141 142 143 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169 170 171 172 173 174
175 176 177 178 179 180 181 182 183 184 185 186 187 188 189
190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
205 206 207 208 209 210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234
235 236 237 238 239 240 241 242 243 244 245 246 247 248 249
250 251 252 253 254 255 266 267 268 269 270 271 282 283 284
285 286 287 298 299 300 301 302 303 314 315 316 317 318 319
330 331 332 333 334 335 346 347 348 349 350 351 362 363 364
365 366 367 378 379 380 381 382 383 394 395 396 397 398 399
410 411 412 413 414 415 416 417 418 419 420 421 422 423 424
425 426 427 428 429 430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449 450 451 452 453 454
455 456 457 458 459 460 461 462 463 464 465 466 467 468 469
470 471 472 473 474 475 476 477 478 479 480 481 482 483 484
485 486 487 488 489 490 491 492 493 494 495 496 497 498 499
500
</pre>

=={{header|Perl}}==
<lang perl>#!/usr/bin/perl

use strict; # https://rosettacode.org/wiki/Base-16_representation
use warnings;

print join( ' ', grep sprintf("%x", $_) =~ tr/a-z//, 1 .. 500 ) =~
s/.{71}\K /\n/gr, "\n";</lang>
{{out}}
<pre>
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59 60 61 62 63
74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109 110 111 122 123 124
125 126 127 138 139 140 141 142 143 154 155 156 157 158 159 160 161 162
163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180
181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198
199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216
217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234
235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252
253 254 255 266 267 268 269 270 271 282 283 284 285 286 287 298 299 300
301 302 303 314 315 316 317 318 319 330 331 332 333 334 335 346 347 348
349 350 351 362 363 364 365 366 367 378 379 380 381 382 383 394 395 396
397 398 399 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424
425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442
443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460
461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478
479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
497 498 499 500
</pre>


=={{header|Raku}}==
Yet another poorly specced, poorly named, trivial task.

How many integers in base 16 cannot be written without using a hexadecimal digit? All of them. Or none of them.

Base 16 is not hexadecimal. Hexadecimal is ''an implementation'' of base 16.

<lang perl6>use Base::Any;
set-digits <⑩ ⑪ ⑫ ⑬ ⑭ ⑮ ⑯ ⑰ ⑱ ⑲ ⑳ ㉑ ㉒ ㉓ ㉔ ㉕>;
say (7**35).&to-base(16);

# ⑭㉒⑱⑩⑰⑰⑳⑮⑱⑳⑩⑳⑱㉒㉑⑰㉒⑫⑭⑲⑯⑩㉔⑮⑰</lang>

How many of those glyphs are decimal digits? And yet it '''is''' in base 16, albeit with non-standard digit glyphs. So they '''all''' can be written without using a hexadecimal digit.

But wait a minute; is 2 a hexadecimal digit? Why yes, yes it is. So ''none'' of them can be written in hexadecimal without using a hexadecimal digit.


Bah. Show which when written in base 16, contain a digit glyph with a value greater than 9:

<lang perl6>say (0..500).grep( { any |.map: { .polymod(16 xx *) »>» 9 } } ).batch(20)».fmt('%3d').join: "\n";</lang>
{{out}}
<pre> 10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59
60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109
110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199
200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239
240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269
270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319
330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379
380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419
420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459
460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479
480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499
500</pre>

=={{header|REXX}}==
REXX automatically uses only uppercase when converting integers to hexadecimal, &nbsp; but the lowercase alphabetic letters where also included for boilerplate code.
<lang rexx>/*REXX pgm finds positive integers when shown in hexadecimal require an alphabetic glyph*/
parse arg n cols . /*obtain optional argument from the CL.*/
if n=='' | n=="," then n = 501 /*Not specified? Then use the default.*/
if cols=='' | cols=="," then cols= 10 /* " " " " " " */
w= 10 /*width of a number in any column. */
@hHex= ' integers when displayed in hexadecimal that require an' ,
"alphabetical glyph to be shown, where N < " n
say ' index │'center(@hHex, 1 + cols*(w+1) ) /*display the title for the output. */
say '───────┼'center("" , 1 + cols*(w+1), '─') /* " a sep " " " */
hHex= 0; y= 'abcdefABCDEF'; idx= 1 /*initialize # of high hexadecimal nums*/
$= /*list of high hexadecimal #'s (so far)*/
do j=1 for n-1 /*search for high hexadecimal numbers. */
if verify(y, d2x(j), 'M')==0 then iterate /*No alphabetical characters? Then skip*/
hHex= hHex + 1 /*bump number of high hexadecimal #'s. */
$= $ right(j, w) /*add a high hexadecimal number──► list*/
if hHex // cols \== 0 then iterate /*have we populated a line of output? */
say center(idx, 7)'│' substr($, 2); $= /*display what we have so far (cols). */
idx= idx + cols /*bump the index count for the output*/
end /*j*/

if $\=='' then say center(idx, 7)"│" substr($, 2) /*possible display residual output.*/
say '───────┴'center("" , 1 + cols*(w+1), '─') /*display the foot sep for output. */
say
say 'Found ' hHex @hHex
exit 0 /*stick a fork in it, we're all done. */</lang>
{{out|output|text=&nbsp; when using the default inputs:}}
<pre>
index │ integers when displayed in hexadecimal that require an alphabetical glyph to be shown, where N < 501
───────┼───────────────────────────────────────────────────────────────────────────────────────────────────────────────
1 │ 10 11 12 13 14 15 26 27 28 29
11 │ 30 31 42 43 44 45 46 47 58 59
21 │ 60 61 62 63 74 75 76 77 78 79
31 │ 90 91 92 93 94 95 106 107 108 109
41 │ 110 111 122 123 124 125 126 127 138 139
51 │ 140 141 142 143 154 155 156 157 158 159
61 │ 160 161 162 163 164 165 166 167 168 169
71 │ 170 171 172 173 174 175 176 177 178 179
81 │ 180 181 182 183 184 185 186 187 188 189
91 │ 190 191 192 193 194 195 196 197 198 199
101 │ 200 201 202 203 204 205 206 207 208 209
111 │ 210 211 212 213 214 215 216 217 218 219
121 │ 220 221 222 223 224 225 226 227 228 229
131 │ 230 231 232 233 234 235 236 237 238 239
141 │ 240 241 242 243 244 245 246 247 248 249
151 │ 250 251 252 253 254 255 266 267 268 269
161 │ 270 271 282 283 284 285 286 287 298 299
171 │ 300 301 302 303 314 315 316 317 318 319
181 │ 330 331 332 333 334 335 346 347 348 349
191 │ 350 351 362 363 364 365 366 367 378 379
201 │ 380 381 382 383 394 395 396 397 398 399
211 │ 410 411 412 413 414 415 416 417 418 419
221 │ 420 421 422 423 424 425 426 427 428 429
231 │ 430 431 432 433 434 435 436 437 438 439
241 │ 440 441 442 443 444 445 446 447 448 449
251 │ 450 451 452 453 454 455 456 457 458 459
261 │ 460 461 462 463 464 465 466 467 468 469
271 │ 470 471 472 473 474 475 476 477 478 479
281 │ 480 481 482 483 484 485 486 487 488 489
291 │ 490 491 492 493 494 495 496 497 498 499
301 │ 500
───────┴───────────────────────────────────────────────────────────────────────────────────────────────────────────────

Found 301 integers when displayed in hexadecimal that require an alphabetical glyph to be shown, where N < 501
</pre>

=={{header|Ring}}==
<lang ring>
see "working..." + nl
baseList = ["a","b","c","d","e","f"]
row = 1
limit = 500

for n = 1 to limit
num = 0
flag = 1
hex = hex(n)
lenHex = len(hex)
for m = 1 to lenHex
ind = find(baseList,hex[m])
if ind < 1
num = num + 1
ok
next
if num != lenHex
row = row + 1
see "" + n + " "
if row%10 = 0
see nl
ok
ok
next

see nl + "done..." + nl
</lang>
{{out}}
<pre>
working...
10 11 12 13 14 15 26 27 28
29 30 31 42 43 44 45 46 47 58
59 60 61 62 63 74 75 76 77 78
79 90 91 92 93 94 95 106 107 108
109 110 111 122 123 124 125 126 127 138
139 140 141 142 143 154 155 156 157 158
159 160 161 162 163 164 165 166 167 168
169 170 171 172 173 174 175 176 177 178
179 180 181 182 183 184 185 186 187 188
189 190 191 192 193 194 195 196 197 198
199 200 201 202 203 204 205 206 207 208
209 210 211 212 213 214 215 216 217 218
219 220 221 222 223 224 225 226 227 228
229 230 231 232 233 234 235 236 237 238
239 240 241 242 243 244 245 246 247 248
249 250 251 252 253 254 255 266 267 268
269 270 271 282 283 284 285 286 287 298
299 300 301 302 303 314 315 316 317 318
319 330 331 332 333 334 335 346 347 348
349 350 351 362 363 364 365 366 367 378
379 380 381 382 383 394 395 396 397 398
399 410 411 412 413 414 415 416 417 418
419 420 421 422 423 424 425 426 427 428
429 430 431 432 433 434 435 436 437 438
439 440 441 442 443 444 445 446 447 448
449 450 451 452 453 454 455 456 457 458
459 460 461 462 463 464 465 466 467 468
469 470 471 472 473 474 475 476 477 478
479 480 481 482 483 484 485 486 487 488
489 490 491 492 493 494 495 496 497 498
499 500
done...
</pre>

=={{header|Wren}}==
{{libheader|Wren-fmt}}
<lang ecmascript>import "/fmt" for Conv, Fmt

var nondecimal = "abcdef"
var c = 0
for (i in 0..500) {
var hex = Conv.hex(i)
if (hex.any { |c| nondecimal.contains(c) }) {
Fmt.write("$3s ", i)
c = c + 1
if (c % 15 == 0) System.print()
}
}
System.print("\n\n%(c) such numbers found.")</lang>

{{out}}
<pre>
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44
45 46 47 58 59 60 61 62 63 74 75 76 77 78 79
90 91 92 93 94 95 106 107 108 109 110 111 122 123 124
125 126 127 138 139 140 141 142 143 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169 170 171 172 173 174
175 176 177 178 179 180 181 182 183 184 185 186 187 188 189
190 191 192 193 194 195 196 197 198 199 200 201 202 203 204
205 206 207 208 209 210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234
235 236 237 238 239 240 241 242 243 244 245 246 247 248 249
250 251 252 253 254 255 266 267 268 269 270 271 282 283 284
285 286 287 298 299 300 301 302 303 314 315 316 317 318 319
330 331 332 333 334 335 346 347 348 349 350 351 362 363 364
365 366 367 378 379 380 381 382 383 394 395 396 397 398 399
410 411 412 413 414 415 416 417 418 419 420 421 422 423 424
425 426 427 428 429 430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449 450 451 452 453 454
455 456 457 458 459 460 461 462 463 464 465 466 467 468 469
470 471 472 473 474 475 476 477 478 479 480 481 482 483 484
485 486 487 488 489 490 491 492 493 494 495 496 497 498 499
500

301 such numbers found.
</pre>

=={{header|XPL0}}==
Borrowed masking concept from C++, which was much more elegant than my first solution.
<lang XPL0>func HasHex(N);
int N;
[while N do
[if (N&$F) > 9 then return true; N:= N>>4];
return false;
];

int N, Cnt;
[Cnt:= 0;
for N:= 1 to 500 do
[if HasHex(N) then
[if N<100 then ChOut(0, ^ );
IntOut(0, N);
Cnt:= Cnt+1;
if rem(Cnt/20) = 0 then CrLf(0) else ChOut(0, ^ );
];
];
CrLf(0);
IntOut(0, Cnt); Text(0, " such numbers found."); CrLf(0);
]</lang>

{{out}}
<pre>
10 11 12 13 14 15 26 27 28 29 30 31 42 43 44 45 46 47 58 59
60 61 62 63 74 75 76 77 78 79 90 91 92 93 94 95 106 107 108 109
110 111 122 123 124 125 126 127 138 139 140 141 142 143 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179
180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199
200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239
240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 266 267 268 269
270 271 282 283 284 285 286 287 298 299 300 301 302 303 314 315 316 317 318 319
330 331 332 333 334 335 346 347 348 349 350 351 362 363 364 365 366 367 378 379
380 381 382 383 394 395 396 397 398 399 410 411 412 413 414 415 416 417 418 419
420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459
460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479
480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499
500
301 such numbers found.
</pre>

Latest revision as of 14:20, 6 August 2021

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