在数字系统中写出最小和最大的六位数字
表示和处理数字的方法称为数字系统。数字系统是一种表示数字的书写系统。它是用于通过使用数字或其他符号来表示给定集合的数字的数学符号。它允许我们进行算术运算,例如除法、乘法、加法、减法。
一些重要的数字系统如下:
- 十进制数系统
- 二进制数制
- 八进制数系统
- 十六进制数系统
让我们详细了解所有这些数字系统。
十进制数系统
十进制数字系统由十位数字组成,即从0到9。十进制数字系统的基数是10。这些数字可以用来表示或表达任何数值。
例如,十进制数 153 由个位数字 3、十位数字 5 和百位数字 1 组成,可以表示为:
(1×102) + (5×101) + (3×100)
= (1 × 100) + (5 × 10) + (3 × 1) { where, 100 = 1}
= 100 + 50 + 3
= 153
二进制数制
二进制数系统仅由两位数字组成,即0和1。二进制数系统的基数是2。数字计算机以二进制数系统表示各种数据。
例如,将 100112 转换为十进制数系统。
(100111)2 = 1 × 25 + 0 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 1 × 20
= 32 + 0 + 0 + 4 + 2 + 1
= (39)10
八进制数系统
八进制数系统由 0 到 7 的数字组成。八进制数系统的基数是 8。八进制数系统基本上用于计算机应用程序。
例如,将 1458 转换为十进制。
1458 = 1 × 82 + 4 × 81+ 5 × 80
= 64 + 32 + 5
= 10110
十六进制数系统
在十六进制数字系统中,数字首先从数字 0 到 9 表示为十进制数字系统,然后使用从 A 到 F 的字母表示数字。十六进制数字系统的基数是 16。
例如,将 26BC16 转换为十进制。
26BC16 = 2 × 163 6 × 162 + 11 × 161 + 12 × 160
= 8192 + 1536 + 176 + 12
= 991610
数字系统中最小和最大的六位数字是什么?
数字系统中最小的六位数字 -
The smallest 6 digit number in the number system is 100000.
Explanation – If we subtract -1 from the number it becomes 5 digit number that is 99999 (five digit number). So 100000 is the smallest 6 digit number in the number system.
Smallest 6 digit number = 100000
=> 100000 – 1
=> 99999 (Which is 5 digit number)
So it is proved the 100000 is the smallest 6 digit number in the number system.
数字系统中最大的六位数字 -
The largest 6 digit number in the number system is – 999999
Explanation – If you add 1 to this number it becomes 1000000 which is a 7 digit number. So 999999 is the largest six digit number in the number system.
Largest 6 digit number in the number system = 999999
= > 999999 + 1
= > 1000000 (which is 7 digit number)
Hence it is proved that 999999 is the largest six digit number.
计算这两个值之间有多少个数字?
We can determine how many numbers lie between the smallest 6-digit number and the largest 6-digit number. We can simply do it by subtracting the smallest number from the largest number. That is –
⇒ 999999 − 100000 = 899999
Hence, total 899999 numbers are lie between the smallest 6-digit number and the largest 6-digit number.
类似问题
问题 1. 最小的 1 位数字是多少?
回答:
Smallest 1 digit number in the number system is 0.
问题 2. 最大的 1 位数字是多少?
回答:
Largest 1 digit number in the number system 9.
问题 3. 计算最小的 1 位数字和最大的 1 位数字之间有多少个数字?
回答:
As we know smallest 1 digit number in the number system is 0 and largest 1 digit number in the number system 9. Therefore total numbers lie between these two numbers are –
=> 9 – 0 = 9
Hence, total 9 numbers are lie between the smallest 1-digit number and the largest 1-digit number.
问题 4. 最小的 3 位数字是多少?
回答:
The smallest 3 digit number in the number system is 100.
Explanation – if we subtract -1 from the number it becomes 2 digit number that is 99 (two digit number). So 100 is the smallest 3 digit number in the number system.
Smallest 3 digit number = 100
=> 100 – 1
=> 99 ( Which is 2 digit number )
So it is proved the 100 is the smallest 3 digit number in the number system.
问题 5. 最大的 3 位数字是多少?
回答:
Largest 3 digit number in the number system 999.
Explanation – If we add +1 to the number ( 999 ) it becomes 4 digit number that is 1000 ( Four digit number ). So 999 is the largest 3 digit number in the number system.
Largest 3 digit number = 999
=> 999 + 1
=> 1000 ( Which is 4 digit number )
So it is proved the 999 is the largest 3 digit number in the number system.
问题 6. 最小的 5 位数字是多少?
回答:
Smallest 5 digit number in the number system is 10000.
Explanation – if we subtract -1 from the number it becomes 4 digit number that is 9999 ( Four digit number ). So 10000 is the smallest 5 digit number in the number system.
Smallest 5 digit number = 10000
=> 10000 – 1
=> 9999 ( Which is 4 digit number )
So it is proved the 10000 is the smallest 5 digit number in the number system.
问题 7. 最大的 5 位数字是多少?
回答:
Largest 5 digit number in the number system 99999.
Explanation – If we add +1 to the number ( 99999 ) it becomes 5 digit number that is 100000 ( Six digit number ). So 99999 is the largest 5 digit number in the number system.
Largest 5 digit number = 99999
=> 99999 + 1
=> 100000 ( Which is 6 digit number )
So it is proved the 99999 is the largest 5 digit number in the number system.