• REG χ : input

• MEM 0~23 : E24 number series
• MEM 24 : index I
• MEM 25 : index J
• MEM 26 : offset
• MEM 27 : normalized value
• MEM 28 : previous error
• MEM 29 : error reference
• MEM 30 : scaled numerator
• MEM 31 : scaling factor
• MAT E24M : results

• REG t : input value
• REG z : latest error reference
• REG y : error
• REG χ : nearest fraction in the E24 numbers [numerator i denominator]

Setup the E24 numbers	Choose fractional pair	Check the error
00 { 339-Byte Prgm } 01 LBL "E24" 02 SIZE 100 03 RECT 04 STO 31 05 9.1 06 STO 23 07 8.2 08 STO 22 09 7.5 10 STO 21 11 6.8 12 STO 20 13 6.2 14 STO 19 15 5.6 16 STO 18 17 5.1 18 STO 17 19 4.7 20 STO 16 21 4.3 22 STO 15 23 3.9 24 STO 14 25 3.6 26 STO 13 27 3.3 28 STO 12 29 3 30 STO 11 31 2.7 32 STO 10 33 2.4 34 STO 09 35 2.2 36 STO 08 37 2 38 STO 07 39 1.8 40 STO 06 41 1.6 42 STO 05 43 1.5 44 STO 04 45 1.3 46 STO 03 47 1.2 48 STO 02 49 1.1 50 STO 01 51 1 52 STO 00	53 0.05 54 STO 28 55 CLχ 56 STO 26 57 1 58 ENTER 59 NEWMAT 60 ENTER 61 COMPLEX 62 STO "E24M" 63 INDEX "E24M" 64 LBL 00 65 RCL 31 66 ENTER 67 LOG 68 χ≥0? 69 GTO 10 70 1 71 - 72 LBL 10 73 IP 74 10↑χ 75 STO 31 76 ÷ 77 STO 27 78 23 79 STO 24 80 LBL 01 81 RCL 27 82 RCL IND 24 83 χ<y? 84 GTO 02 85 DSE 24 86 GTO 01 87 LBL 02 88 RCL 24 89 STO 26 90 23 91 STO 25 92 LBL 03 93 1 94 XEQ A 95 CLχ 96 0 97 XEQ A 98 DSE 25 99 GTO 03 100 1 101 XEQ A 102 CLχ 103 0 104 XEQ A 105 RCL 28 106 RCL 27 107 RCL× 31 108 χ<>Y 109 COMPLEX 110 RCLEL 111 χ<>Y 112 STOEL 113 COMPLEX 114 RCL 29 115 χ<>Y 116 R↑ 117 RTN	118 LBL A 119 RCL+ 25 120 RCL+ 26 121 24 122 χ≤y? 123 GTO 11 124 GTO 12 125 LBL 11 126 - 127 STO 24 128 10 129 GTO 13 130 LBL 12 131 R↓ 132 STO 24 133 1 134 LBL 13 135 RCL× IND 24 136 STO 30 137 1/χ 138 RCL× IND 25 139 RCL× 27 140 1 141 - 142 ABS 143 RCL 28 144 χ<y? 145 RTN 146 R↓ 147 χ<> 28 148 STO 29 149 RCL 28 150 RCL 30 151 RCL× 31 152 RCL IND 25 153 COMPLEX 154 STOEL 155 INSR 156 STOEL 157 PSE 158 RTN 159 END

Rev. 0.1 : Apr. 30, 2009
Rev. 0.2 : Feb. 1, 2010

• 1.0 → [X:1 i1, Y:0]
• 0.103226 → [X:0.16 i1.5, Y:0.03225625]
• √10 -1 → [X:3.9 i1.8, Y:2.02569531e-3]
• √10 → [X:5.1 i1.6, Y:7.91289092e-3]
• 9.6774 → [X:15 i1.6, Y:0.032256]

1. CSI IEC 60063 (JIS C 5063) Preferred number series for resistors and capacitors

• E24 series ( Written in Japanese)
• Preferred number - E24 numbers defied in the IEC 60063 (JIS C 5063)
• Fractional approximation program for the HP 42S