Requirements: Decimal conversion, usually when calculating, it is more convenient to use decimal to calculate, and it is necessary to convert binary, 8, and 16 to decimal first.
For example, the number 6 represents 60 in the ten-digit position, 600 in the hundredth digit, and 0.6 after the decimal point. The magnitude of the bit weight is an integer power of exponential with the base number as the base and the serial number of the digit's position as the exponent. The place weight of the decimal single-digit position is 100, the place weight of the decimal position is 101, and the place weight of the decimal place is 10-1.
The decimal number 34958.34 has a value of:
（34958.34）10=3×104+4×103+9×102+5×101+8×100+3×10-1+4×10-2
Left decimal point: From right to left, each corresponding weight is 100, 101, 102, 103, and 104
Right of the decimal point: from left to right, the corresponding weights of each digit are 10-1 and 10-2 respectively
Binary number (100101.01)2=1×25+0×24+0×23+1×22+0×21+1×20+0×2-1+1×2-2
Decimal point left: From right to left, the corresponding weights of each digit are 20, 21, 22, 23, and 24
Right of the decimal point: from left to right, the corresponding weights of each digit are 2-1 and 2-2 respectively
Different base systems have different weights due to the cardinality of their rounds.
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Posted on 11/6/2024 8:41:30 AM
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