1. Examples
1. (10101)2 = ( ? )10
Solution:
`(10101)_2 = (underline{" "})_10`
`10101`
` = 1 × 2^4 + 0 × 2^3 + 1 × 2^2 + 0 × 2^1 + 1 × 2^0`
`= 1 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1`
`= 21`
`:. (10101)_2 = (underline{21})_10`
2. (110101001)2 = ( ? )10
Solution:
`(110101001)_2 = (underline{" "})_10`
`110101001`
` = 1 × 2^8 + 1 × 2^7 + 0 × 2^6 + 1 × 2^5 + 0 × 2^4 + 1 × 2^3 + 0 × 2^2 + 0 × 2^1 + 1 × 2^0`
`= 1 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1`
`= 425`
`:. (110101001)_2 = (underline{425})_10`
This material is intended as a summary. Use your textbook for detail explanation.
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