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8 = highest value not exceeding 10.
10 – 8 = 2
2 = highest value not exceeding 2.
2 – 2 = 0
In the above arithmetic, you used the decimal values 512, 64, 16, 8, and 2. You did not use 256,
128, 32, 4, and 1. Placing a 1 in the position for each decimal value used and a 0 (zero) in each
position not used, yields 1001011010. Hence, decimal 602 = binary 1001011010.
5.2.
Converting Binary to Decimal
—Referring to Table 8, if you want to convert binary to
decimal, simply sum the decimal values corresponding to the 1's in each position of the binary
number. Keep in mind that while a 1 in any position has a certain positive decimal value, a 0
(zero) in any position has the decimal value 0 (zero). The conversion for binary 1001011010
looks like this:
512 + 0 + 0 + 64 + 0 + 16 + 8 + 0 + 2 + 0 = 602
Hence, binary 1001011010 = decimal 602.
— End of BICALC02 —
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