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How many values can be represented with 3 binary digits?

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using 3 binary digits (bits), we can represent (23 = 8) different values. Because each binary digit takes on one of two possible values (0 or 1), and with three digits, we can 8 different values.

23 = 8 different values can be represented with 3 binary digits. These values range from 000 (0 in decimal) to 111 (7 in decimal).

Values Represented Using 3-digits in Binary Number System

A three-digit binary simply means the arrangement of three 0’s and 1’s in all possible manners to form different values, for instance, 000, 001, 011, 100, etc. Since there are three digits, the maximum number of ways they can be arranged is 23 which is equal to 8. Hence, it gives numbers from 0-7.

8 values in binary and decimal form are as follows:

Binary form Decimal Form
000 0
001 1
010 2
011 3
100 4
101 5
110 6
111 7

Similar Questions

Question 1: How many values can be represented using 2 digit binary?

Solution:

4 different values from 0-3 that can be represented using 2 digit binary.

Question 2: How many values can be represented using 4 digit binary?

Solution:

16 values from 0-15 that can be represented using 4 digit binary.


Last Updated : 19 Mar, 2024
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