1 digit how many bits

You can state that mathematically as:. How many bits do numbers in this range require? It varies. For example, consider four-digit decimal integers. The number of bits varies between those extremes. For example, requires 11 bits, requires 12 bits, and requires 13 bits. Why does this occur? Because that single power of ten range spans all or part of five consecutive power-of-two ranges. The minimum number of bits required for a d -digit integer is computed simply by using the specific number formula on the minimum d -digit value:.

The maximum number of bits required for a d -digit integer is computed simply by using the specific number formula on the maximum d -digit value:. This allows us to use this more computationally efficient formula to the same effect:.

The average number of bits required for a d -digit integer is the total number of bits required to represent all d -digit integers divided by the number of d -digit integers. For our example, the average is.

First we have to figure out how to take the base-2 logarithm of a number. The binary system only uses two digits: 0, which corresponds to "off", and 1, which corresponds to "on". Each byte generally represents a single character. Hope this helps! Arial Arial 4, 2 2 gold badges 16 16 silver badges 16 16 bronze badges.

Keep dividing the number by 2 until you get a quotient of 0. Arun Arun 2, 12 12 silver badges 11 11 bronze badges. Exampe: 13 to binary. Cooper Cooper 3 3 silver badges 9 9 bronze badges.

It works for the first two but when you come to the next two questions, they are large enough to be solved by your way. Gate Aspirant Gate Aspirant 21 3 3 bronze badges. Taking a case where you only want three digits, ie your case 1. Taking the ceil value of n since 9. Starting with what we know here are the number from 0 to This one works! Thiagesh thg Thiagesh thg 7 7 bronze badges. Alex Tuduran Alex Tuduran 26 3 3 bronze badges. Sign up or log in Sign up using Google.

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Now live: A fully responsive profile. Linked Related Is four the maximum? Does it occur anywhere else? Any takers? Update : I had one — see the comments below. You can apply the above analysis to representations in any pair of bases.

How about the ratio of bits to octal digits? This works out to be. Similarly, the ratio of bits to hexadecimal digits is.