原创 【笔记】《Finite State Machine Datapath Design》重要概念-3

part3 无符号定点数的表示及转换方法

Finite State MachineWith Datapath Design

FIXED-POINT REPRESENTATION

Convert an unsigned decimal number to a X.Y fixed-point binary format

To convert an unsigned decimal number to a X.Y fixed-point format, multiply the decimal
number by 2^Y, drop any fractional remainder, and then convert this to its unsigned binary value using a N.0 format, where N = X + Y.

Convert an X.Y unsigned binary number to its decimal representation

To convert an X.Y unsigned binary number to its decimal representation, first convert the
number to its decimal representation assuming an N.0 format, where N = X + Y. Then divide this number by 2^Y to produce the final decimal result.

Example:

5.3 format

4.625*(2^3)(decimal) = 37(decimal) = 8'b00100101(binary)

8'b1000111(binary) = 143(decimal) = 143/(2^3)(decimal) = 17.875(decimal)