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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 Value
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 262144
2e19 524288
2e20 1048576

Powers of 8

Exponent Value
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 Value
16e0 1
16e1 16
16e2 256
16e3 4096
16e4 65536
16e5 1048576
16e6 16777216
16e7 268435456

Conversions between Powers of 2

Binary Number Octal Number Hexadecimal Number
0101011101 0535 15D
000111010101100 07254 0EAC
11011110101011 33653 37AB
00110100010111111011 0642773 345FB
000101100101010001010 0545212 02CA8A
1110110111000110010101000011 1667062503 EDC6543

Conversions involving Base 10

Binary Number Octal Number Decimal Number Hexadecimal Number
11011011000 3330 3504 6D8
111111111 777 4095 1FF
1000000000 1 2048 200
000111111111111 07777 4095 0FFF
0001000000 01000000 64 1024
000110101101011101 065535 27485 06B5D
001111101000 1750 1000 3E8
1110000000000 16000 7168 1C00
011111111111111 37777 16383 3FFF
0001000000000000 001000 8 1000
1111111111111111 177777 65535 FFFF
0101101001011010 055132 23130 5A5A

Challenge

Not required, but a good test of concepts.

Exponent Value
7e0 1
7e1 7
7e2 49
7e3 343
7e4 2401
7e5 16807
Binary Number Septal? Number Octal Number Decimal Number Hexadecimal Number
? 1234 ? ? ?
? 6144 ? ? ?
user/bdevaul/start.txt · Last modified: 2010/09/08 22:09 by bdevaul