Arithmetic of Computers

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Appendix - Some Useful Tables

1. Octal Multiplication Table
 x 1 2 3 4 5 6 7 10 1 1 2 3 4 5 6 7 10 2 2 4 6 10 12 14 16 20 3 3 6 11 14 17 22 25 30 4 4 10 14 20 24 30 34 40 5 5 12 17 24 31 36 43 50 6 6 14 22 30 36 44 52 60 7 7 16 25 36 43 52 61 70 10 10 20 30 40 50 60 70 100

2. Powers of 2
 n 2n n 2n 1 2 16 65 536 2 4 17 131 072 3 8 18 262 144 4 16 19 524 288 5 32 20 1 048 576 6 64 21 2 097 152 7 128 22 4 194 304 8 256 23 8 388608 9 512 24 16 777 216 10 1 024 25 33 554 432 11 2 048 26 67 108 864 12 4 096 27 134 217 728 13 8 192 28 268 435 456 14 16 384 29 536 870 912 15 32 768 30 1 073 741 824

3. Recurring Fractions in Binary
(1)/(3)  = 0. (1)/(5)  = 0.01 (1)/(7)  = 0.0 (1)/(9)  = 0.0011 (1)/(11)  = 0.00101110 (1)/(13)  = 0.0010011101 (1)/(15)  = 0.00 (1)/(17)  = 0.000111 (1)/(19)  = 0.0001101011110010 (1)/(21)  = 0.0001 (1)/(25)  = 0.000101000111101011