Binary Number System
In the binary number system, there are two dig-its：0 and I．The binary system is used for internal computer operations because only two signal levels are required, as opposed to decimal where ten signal levels would be necessary．Because a digit in the units position has a value of 0 or I，numbers greater than 1cause a carry to the next position, each position represents the base raised to a power. In base 10, the units position has a power of 100, the next position 10 l，and so on. Thus, a digit in any position other than the units position has a weight (value) depending on its positioning the number. A 4，for example, has a weight of 4 in the units position, 40 in the 10's position, 400 in the100's position and so on.
In binary, or base 2, the same reasoning applies. The units position has a power of 20, the next position21，and so on. As illustrated in Figure 1-5 a binary digit in any position other than the unit’s position has weight depending on its position in the number. A Has a weight of 1 in the units position, 2 in the 2'sposition, 4 in the 4's position and so on. Binary digits are called bits (a contraction of "binary digits")．Therefore, the digit in the units position is called the east-Significant Bit (LSB) ,and so on until we reach the Most-Significant Bit (MSB)．
翻譯：
二進(jìn)制數(shù)
在二進(jìn)制數(shù)系中有兩個數(shù)字0和1。二進(jìn)制用于計算機(jī)內(nèi)部操作，因為它僅需要兩種信號電開這與十進(jìn)制不同，那里將需要1I信號電平。因為在個位上的數(shù)字具有0和I的值，所以比I大的數(shù)將對下一位產(chǎn)生進(jìn)位，每個位置代表基的若干次冪。在基為10中，個位具有10“次冪，下一位為10，次冪，等等。這樣，在任意位置上（除了個位之外）的數(shù)字所具有的權(quán)（值）取決于此數(shù)字在該數(shù)中的位置。例如，4在個位上具有權(quán)為4，在十位上具有權(quán)40，在百位上具有權(quán)400，等等。
在二進(jìn)制中（其基為2）應(yīng)用同樣的類推，個位具有權(quán)為2。，下一位具有權(quán)為2，等等。如圖1-5所示，在任意位置上（除了個位之外）的二進(jìn)制數(shù)字所具有的權(quán)，取決于此數(shù)字在該數(shù)中的位置。1在個位上具有的 為1，在2的位置上權(quán)為2，在4的位置上權(quán)為4，等等。二進(jìn)制數(shù)字稱為比特C bit它由”binary digits”縮寫而成）。因此，在個位上的數(shù)字被稱作“最低有效位”(LSB）等等，一直到我們到達(dá)“有效位”（MSB）為止。
In the binary number system, there are two dig-its：0 and I．The binary system is used for internal computer operations because only two signal levels are required, as opposed to decimal where ten signal levels would be necessary．Because a digit in the units position has a value of 0 or I，numbers greater than 1cause a carry to the next position, each position represents the base raised to a power. In base 10, the units position has a power of 100, the next position 10 l，and so on. Thus, a digit in any position other than the units position has a weight (value) depending on its positioning the number. A 4，for example, has a weight of 4 in the units position, 40 in the 10's position, 400 in the100's position and so on.
In binary, or base 2, the same reasoning applies. The units position has a power of 20, the next position21，and so on. As illustrated in Figure 1-5 a binary digit in any position other than the unit’s position has weight depending on its position in the number. A Has a weight of 1 in the units position, 2 in the 2'sposition, 4 in the 4's position and so on. Binary digits are called bits (a contraction of "binary digits")．Therefore, the digit in the units position is called the east-Significant Bit (LSB) ,and so on until we reach the Most-Significant Bit (MSB)．
翻譯：
二進(jìn)制數(shù)
在二進(jìn)制數(shù)系中有兩個數(shù)字0和1。二進(jìn)制用于計算機(jī)內(nèi)部操作，因為它僅需要兩種信號電開這與十進(jìn)制不同，那里將需要1I信號電平。因為在個位上的數(shù)字具有0和I的值，所以比I大的數(shù)將對下一位產(chǎn)生進(jìn)位，每個位置代表基的若干次冪。在基為10中，個位具有10“次冪，下一位為10，次冪，等等。這樣，在任意位置上（除了個位之外）的數(shù)字所具有的權(quán)（值）取決于此數(shù)字在該數(shù)中的位置。例如，4在個位上具有權(quán)為4，在十位上具有權(quán)40，在百位上具有權(quán)400，等等。
在二進(jìn)制中（其基為2）應(yīng)用同樣的類推，個位具有權(quán)為2。，下一位具有權(quán)為2，等等。如圖1-5所示，在任意位置上（除了個位之外）的二進(jìn)制數(shù)字所具有的權(quán)，取決于此數(shù)字在該數(shù)中的位置。1在個位上具有的 為1，在2的位置上權(quán)為2，在4的位置上權(quán)為4，等等。二進(jìn)制數(shù)字稱為比特C bit它由”binary digits”縮寫而成）。因此，在個位上的數(shù)字被稱作“最低有效位”(LSB）等等，一直到我們到達(dá)“有效位”（MSB）為止。