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How many values can be represented with 3 binary digits?

Last Updated : 17 Apr, 2024
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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

When you use 3 binary digits (bits), you can represent 8 different values because each bit can take on one of two possible values: either 0 or 1. In a sequence of 3 binary digits, there are 2^3 =8 possible combinations. These combinations range from 000 (0 in decimal) to 111 (7 in decimal).

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.


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