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+ | =====Number Systems Conversions===== | ||
+ | |||
+ | A selection of different problems for your solving pleasure. Be sure to focus on the process, not just the answer. | ||
+ | |||
+ | =====Powers of 2===== | ||
+ | |||
+ | ^ Exponent | ||
+ | | 2e0 | 1 | | ||
+ | | 2e1 | 2 | | ||
+ | | 2e2 | 4 | | ||
+ | | 2e3 | 8 | | ||
+ | | 2e4 | 16 | | ||
+ | | 2e5 | 32 | | ||
+ | | 2e6 | 64 | | ||
+ | | 2e7 | 128 | | ||
+ | | 2e8 | 256 | | ||
+ | | 2e9 | 512 | | ||
+ | | 2e10 | 1024 | | ||
+ | | 2e11 | 2048 | | ||
+ | | 2e12 | 4096 | | ||
+ | | 2e13 | 8192 | | ||
+ | | 2e14 | 16384 | | ||
+ | | 2e15 | 32768 | | ||
+ | | 2e16 | 65536 | | ||
+ | | 2e17 | 131072 | ||
+ | | 2e18 | | ||
+ | | 2e19 | 524288 | ||
+ | | 2e20 | 1048576 | ||
+ | |||
+ | =====Powers of 8===== | ||
+ | |||
+ | ^ Exponent | ||
+ | | 8e0 | 1 | | ||
+ | | 8e1 | 8 | | ||
+ | | 8e2 | 64 | | ||
+ | | 8e3 | 512 | | ||
+ | | 8e4 | 4096 | | ||
+ | | 8e5 | 32768 | | ||
+ | | 8e6 | 262144 | ||
+ | | 8e7 | 2097152 | ||
+ | | 8e8 | 16777216 | ||
+ | | 8e9 | 134217728 | ||
+ | | 8e10 | 1073741824 | ||
+ | | 8e11 | 8589934592 | ||
+ | |||
+ | =====Powers of 16===== | ||
+ | |||
+ | ^ Exponent | ||
+ | | 16e0 | 1 | | ||
+ | | 16e1 | 16 | | ||
+ | | 16e2 | 256 | | ||
+ | | 16e3 | 4096 | | ||
+ | | 16e4 | 65536 | | ||
+ | | 16e5 | 1048576 | ||
+ | | 16e6 | 16777216 | ||
+ | | 16e7 | 268435456 | ||
+ | |||
+ | =====Conversions between Powers of 2===== | ||
+ | |||
+ | ^ Binary Number | ||
+ | | 0101011101 | ||
+ | | 000111010101100 | ||
+ | | 11011110101011 | ||
+ | | 00110100010111111011 | ||
+ | | 000101100101010001010 | ||
+ | | 1110110111000110010101000011 | ||
+ | |||
+ | =====Conversions involving Base 10===== | ||
+ | |||
+ | ^ Binary Number | ||
+ | | 11011011000 | ||
+ | | 111111111 | ||
+ | | 1000000000 | ||
+ | | 000111111111111 | ||
+ | | 0001000000 | ||
+ | | 000110101101011101 | ||
+ | | 001111101000 | ||
+ | | 1110000000000 | ||
+ | | 011111111111111 | ||
+ | | 0001000000000000 | ||
+ | | 1111111111111111 | ||
+ | | 0101101001011010 | ||
+ | |||
+ | =====Challenge===== | ||
+ | Not required, but a good test of concepts. | ||
+ | |||
+ | ^ Exponent | ||
+ | | 7e0 | 1 | | ||
+ | | 7e1 | 7 | | ||
+ | | 7e2 | 49 | | ||
+ | | 7e3 | 343 | | ||
+ | | 7e4 | 2401 | | ||
+ | | 7e5 | 16807 | | ||
+ | |||
+ | ^ Binary Number | ||
+ | | ? | 1234 | ? | ? | ? | | ||
+ | | ? | 6144 | ? | ? | ? | | ||