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.