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標題:
Number System
發問:
Express : (1) 5.13 as a binary number. (2) 25.17 as a hexadecimal number.
最佳解答:
5 = 1x2^2 + 1x2^0 0.13 = 1x2^(-3) + 1x2^(-8) + 1x2^(-10) + ... 所以 5.13 = 101.0010000101... (binary) 25 = 1x16^1 + 9x16^0 0.17 = 2x16^(-1) + 11x16^(-2) + 8x16^(-3) + 5x16^(-4) + 1x16^(-5) + ... 所以 25.17 = 19.2B851... (hexadecimal)
5 = 1 x 2^2 + 0 x 2^1 + 1 x 2^0 = 101(binary) 13 = 1 x 2^3 + 1 x 2^2 + 0 x 2^1 + 1 x 2^0 = 1101(binary) 25 = 1 x 16^1 + 9 x 16^0 = 19(hexadecimal) 17 = 1 x 16^1 + 1 x 16^0 = 11(hexadecimal)
Number System
發問:
Express : (1) 5.13 as a binary number. (2) 25.17 as a hexadecimal number.
最佳解答:
5 = 1x2^2 + 1x2^0 0.13 = 1x2^(-3) + 1x2^(-8) + 1x2^(-10) + ... 所以 5.13 = 101.0010000101... (binary) 25 = 1x16^1 + 9x16^0 0.17 = 2x16^(-1) + 11x16^(-2) + 8x16^(-3) + 5x16^(-4) + 1x16^(-5) + ... 所以 25.17 = 19.2B851... (hexadecimal)
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其他解答:5 = 1 x 2^2 + 0 x 2^1 + 1 x 2^0 = 101(binary) 13 = 1 x 2^3 + 1 x 2^2 + 0 x 2^1 + 1 x 2^0 = 1101(binary) 25 = 1 x 16^1 + 9 x 16^0 = 19(hexadecimal) 17 = 1 x 16^1 + 1 x 16^0 = 11(hexadecimal)
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