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The number 340 in binary is the nine-digit number 101010100.

The digits in a binary number are exponents of 2 rather than 10, so that for a nine digit number in binary, the digit places represent

256, 128, 64, 32, 16, 8, 4, 2, 1 instead of increasing values of 10.

101010100 = 256+ (0x128) + 64 + (0x32) +16 + (0x8) + 4 + (0x2) + (0x1) = 340

To create a binary number, use places for all exponent values of 2 that are less than your number. Subtract the largest digit and see if each successive smaller digit can be subtracted. If it can, enter a 1 value and subtract again. When your remainder is zero, put a 0 in all the remaining digits to the right.

340 - 256 = 84 (1)

no 128 (0)

84 - 64 = 20 (1)

no 32 (0)

20 - 16 = 4 (1)

no 8 (0)

4 - 4 = 0 (1)

no 2 (0)

no 1 (0)

= 101010100

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12y ago

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