http://t3x.org/kimuno/kimcalc.list.html (light|dark)
Why publish the listing file of the KIM Uno calculator on the homepage? Just in case you cannot get the KIM Uno to communicate with another computer, you can still enter the numbers in the left column of the listing using the hex pad. This is in fact what I did. Make sure that the bytes you are entering are at the same same address as in the middle column of the listing, otherwise you have missed a byte or two.
Update: at first the KIM Uno did send but not receive any bytes over the USB-serial adapter using a two-wire connection at 9600 8N1 without hardware flow control. Apparently you need to power the Uno over USB-serial adapter for the serial connection to work reliably. After turning off battery power and connecting Vcc and GND to the adapter even uploads and downloads work fine.
4C 67 05 0400 JMP $0567 A0 86 0403 LDY #$86 84 92 0405 STY @$92 A4 A5 0407 LDY @$A5 A9 00 0409 LDA #$00 91 92 040B STA (@$92,X) 88 040D DEY 10 FB 040E BPL $040B 60 0410 RTS A0 80 0411 LDY #$80 D0 F0 0413 BNE $0405 A0 8C 0415 LDY #$8C D0 EC 0417 BNE $0405 20 03 04 0419 JSR $0403 4C 11 04 041C JMP $0411 F8 041F SED 18 0420 CLC A2 05 0421 LDX #$05 B5 86 0423 LDA @$86,X 75 80 0425 ADC @$80,X 95 86 0427 STA @$86,X CA 0429 DEX 10 F7 042A BPL $0423 A9 00 042C LDA #$00 69 00 042E ADC #$00 85 A0 0430 STA @$A0 D8 0432 CLD 60 0433 RTS F8 0434 SED 38 0435 SEC A2 05 0436 LDX #$05 B5 86 0438 LDA @$86,X F5 80 043A SBC @$80,X 95 86 043C STA @$86,X CA 043E DEX 10 F7 043F BPL $0438 A9 00 0441 LDA #$00 E9 00 0443 SBC #$00 4C 30 04 0445 JMP $0430 48 0448 PHA 86 92 0449 STX @$92 A2 04 044B LDX #$04 A4 A4 044D LDY @$A4 18 044F CLC B1 92 0450 LDA (@$92),Y 2A 0452 ROL A 91 92 0453 STA (@$92,X) 88 0455 DEY 10 F8 0456 BPL $0450 CA 0458 DEX D0 F2 0459 BNE $044D 68 045B PLA 60 045C RTS 48 045D PHA 86 92 045E STX @$92 A2 04 0460 LDX #$04 86 A8 0462 STX @$A8 A0 00 0464 LDY #$00 A2 06 0466 LDX #$06 18 0468 CLC B1 92 0469 LDA (@$92),Y 6A 046B ROR A 91 92 046C STA (@$92,X) C8 046E INY CA 046F DEX D0 F7 0470 BNE $0469 C6 A8 0472 DEC @$A8 D0 EE 0474 BNE $0464 68 0476 PLA 60 0477 RTS C6 A4 0478 DEC @$A4 A2 80 047A LDX #$80 20 48 04 047C JSR $0448 E6 A4 047F INC @$A4 60 0481 RTS A2 86 0482 LDX #$86 D0 C2 0484 BNE $0448 A2 05 0486 LDX #$05 B5 86 0488 LDA @$86,X 95 8C 048A STA @$8C,X CA 048C DEX 10 F9 048D BPL $0488 60 048F RTS A2 05 0490 LDX #$05 B5 8C 0492 LDA @$8C,X 95 86 0494 STA @$86,X CA 0496 DEX 10 F9 0497 BPL $0492 60 0499 RTS A2 04 049A LDX #$04 B5 86 049C LDA @$86,X E8 049E INX 95 86 049F STA @$86,X CA 04A1 DEX CA 04A2 DEX 10 F7 04A3 BPL $049C A5 80 04A5 LDA @$80 85 83 04A7 STA @$83 A5 81 04A9 LDA @$81 85 84 04AB STA @$84 A5 82 04AD LDA @$82 85 85 04AF STA @$85 A9 00 04B1 LDA #$00 85 80 04B3 STA @$80 85 81 04B5 STA @$81 85 82 04B7 STA @$82 60 04B9 RTS 20 86 04 04BA JSR $0486 20 03 04 04BD JSR $0403 A9 06 04C0 LDA #$06 85 A6 04C2 STA @$A6 A5 91 04C4 LDA @$91 29 0F 04C6 AND #$0F 85 A7 04C8 STA @$A7 F0 07 04CA BEQ $04D3 20 1F 04 04CC JSR $041F C6 A7 04CF DEC @$A7 D0 F9 04D1 BNE $04CC A2 8C 04D3 LDX #$8C 20 5D 04 04D5 JSR $045D A2 80 04D8 LDX #$80 20 48 04 04DA JSR $0448 C6 A6 04DD DEC @$A6 D0 E3 04DF BNE $04C4 4C 9A 04 04E1 JMP $049A A5 83 04E4 LDA @$83 85 80 04E6 STA @$80 A5 84 04E8 LDA @$84 85 81 04EA STA @$81 A5 85 04EC LDA @$85 85 82 04EE STA @$82 A9 00 04F0 LDA #$00 85 83 04F2 STA @$83 85 84 04F4 STA @$84 85 85 04F6 STA @$85 4C 15 04 04F8 JMP $0415 20 E4 04 04FB JSR $04E4 20 82 04 04FE JSR $0482 20 82 04 0501 JSR $0482 A9 06 0504 LDA #$06 85 A6 0506 STA @$A6 A9 00 0508 LDA #$00 85 A0 050A STA @$A0 85 A7 050C STA @$A7 A2 80 050E LDX #$80 20 5D 04 0510 JSR $045D 20 34 04 0513 JSR $0434 E6 A7 0516 INC @$A7 A5 A7 0518 LDA @$A7 C9 0B 051A CMP #$0B F0 1B 051C BEQ $0539 A5 A0 051E LDA @$A0 F0 F1 0520 BEQ $0513 20 1F 04 0522 JSR $041F C6 A7 0525 DEC @$A7 A2 8C 0527 LDX #$8C 20 48 04 0529 JSR $0448 A5 A7 052C LDA @$A7 05 91 052E ORA @$91 85 91 0530 STA @$91 C6 A6 0532 DEC @$A6 D0 D2 0534 BNE $0508 4C 90 04 0536 JMP $0490 4C 03 04 0539 JMP $0403 A5 83 053C LDA @$83 85 FB 053E STA @$FB A5 84 0540 LDA @$84 85 FA 0542 STA @$FA A5 85 0544 LDA @$85 85 F9 0546 STA @$F9 60 0548 RTS 06 85 0549 ASL @$85 06 85 054B ASL @$85 06 85 054D ASL @$85 06 85 054F ASL @$85 60 0551 RTS A9 00 0552 LDA #$00 85 A1 0554 STA @$A1 A5 89 0556 LDA @$89 85 FB 0558 STA @$FB A5 8A 055A LDA @$8A 85 FA 055C STA @$FA A5 8B 055E LDA @$8B 85 F9 0560 STA @$F9 A9 01 0562 LDA #$01 85 A3 0564 STA @$A3 60 0566 RTS 20 19 04 0567 JSR $0419 A9 00 056A LDA #$00 85 A1 056C STA @$A1 85 A3 056E STA @$A3 85 93 0570 STA @$93 A9 05 0572 LDA #$05 85 A4 0574 STA @$A4 85 A5 0576 STA @$A5 20 52 05 0578 JSR $0552 20 1F 1F 057B JSR $1F1F F0 FB 057E BEQ $057B 20 1F 1F 0580 JSR $1F1F F0 F6 0583 BEQ $057B 20 6A 1F 0585 JSR $1F6A C9 FF 0588 CMP #$FF F0 EF 058A BEQ $057B C9 0A 058C CMP #$0A D0 09 058E BNE $0599 A5 A1 0590 LDA @$A1 49 FF 0592 EOR #$FF 85 A1 0594 STA @$A1 4C 7B 05 0596 JMP $057B C9 0B 0599 CMP #$0B F0 CA 059B BEQ $0567 C9 0C 059D CMP #$0C D0 06 059F BNE $05A7 20 1F 04 05A1 JSR $041F 4C 78 05 05A4 JMP $0578 C9 0D 05A7 CMP #$0D D0 06 05A9 BNE $05B1 20 34 04 05AB JSR $0434 4C 78 05 05AE JMP $0578 C9 0E 05B1 CMP #$0E D0 06 05B3 BNE $05BB 20 BA 04 05B5 JSR $04BA 4C 78 05 05B8 JMP $0578 C9 0F 05BB CMP #$0F D0 06 05BD BNE $05C5 20 FB 04 05BF JSR $04FB 4C 78 05 05C2 JMP $0578 A6 A3 05C5 LDX @$A3 F0 09 05C7 BEQ $05D2 48 05C9 PHA 20 11 04 05CA JSR $0411 68 05CD PLA A2 00 05CE LDX #$00 86 A3 05D0 STX @$A3 A6 A1 05D2 LDX @$A1 D0 0D 05D4 BNE $05E3 20 78 04 05D6 JSR $0478 05 84 05D9 ORA @$84 85 84 05DB STA @$84 20 3C 05 05DD JSR $053C 4C 7B 05 05E0 JMP $057B 20 49 05 05E3 JSR $0549 05 85 05E6 ORA @$85 85 85 05E8 STA @$85 4C DD 05 05EA JMP $05DD