Expressed in decimal, the sum of the numbers 1 to 8192 is 33558528 - expressed in binary, this number is equal to 10000000000001000000000000.
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The number 11101 can be expressed as: 8192+2048+512+256+64+16+8+4+1 so the answer is 10101101011101
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* (The binary number 100000 is decimal number 32) To represent the decimal number 100,000 in binary requires seventeen digits: 11 00001 10101 00000 The digits in a binary number are exponents of 2 rather than 10, so that for a seventeen-digit number in binary, the digit places represent 65536, 32768, 16384, 8192, 4096, 2048, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 1 11000011010100000 = 65536 + 32768 + (0x16384) + (0x8192) + (0x5096) + (0x2048) + 1024 + 512 + (0x256) + 128 + (0x64) + 32 + (0x16) + (0x8) + (0x4) + (0x2) + (0x1) = 100000 Subtraction tree: 100000 - 65536 = 34464 34464 - 32768 = 1696 no 16384 no 8192 no 4096 no 2048 1696 - 1024 = 672 672 - 512 = 160 no 256 160 - 128 = 32 no 64 32 - 32 = 0 no 16 no 8 no 4 no 2 no 1 = 11000011010100000
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you can go to calculator.com and it's a free online calculator. the answer is 8192