浮点数53.67写入寄存器

时间: 2023-09-19 08:09:47 浏览: 38
在计算机中,浮点数通常使用 IEEE 754 标准来表示。对于双精度浮点数,即使用 64 位二进制数来表示。其中,第 0 位表示符号位(0 表示正数,1 表示负数),第 1 到 11 位表示指数部分(即幂次),第 12 到 63 位表示尾数部分。 将浮点数 53.67 写入寄存器,需要先将其转换为二进制表示。其转换方法为: - 整数部分不断除以 2,直到商为 0,余数逆序连接即为二进制整数部分。 $53 / 2 = 26 ... 1$ $26 / 2 = 13 ... 0$ $13 / 2 = 6 ... 1$ $6 / 2 = 3 ... 0$ $3 / 2 = 1 ... 1$ $1 / 2 = 0 ... 1$ 因此,53 的二进制整数部分为 110101。 - 小数部分不断乘以 2,直到结果为 0 或者达到指定精度,整数部分连成二进制小数部分。 $0.67 * 2 = 1.34 ... 1$ $0.34 * 2 = 0.68 ... 0$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0.32 ... 0$ $0.32 * 2 = 0.64 ... 0$ $0.64 * 2 = 1.28 ... 1$ $0.28 * 2 = 0.56 ... 0$ $0.56 * 2 = 1.12 ... 1$ $0.12 * 2 = 0.24 ... 0$ $0.24 * 2 = 0.48 ... 0$ $0.48 * 2 = 0.96 ... 0$ $0.96 * 2 = 1.92 ... 1$ $0.92 * 2 = 1.84 ... 1$ $0.84 * 2 = 1.68 ... 1$ $0.68 * 2 = 1.36 ... 1$ $0.36 * 2 = 0.72 ... 0$ $0.72 * 2 = 1.44 ... 1$ $0.44 * 2 = 0.88 ... 0$ $0.88 * 2 = 1.76 ... 1$ $0.76 * 2 = 1.52 ... 1$ $0.52 * 2 = 1.04 ... 1$ $0.04 * 2 = 0.08 ... 0$ $0.08 * 2 = 0.16 ... 0$ $0.16 * 2 = 0

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