We can also add 0011 in each 4bit BCD code of the decimal number for getting excess3 code.
Let's take an example to understand the process of converting a binary number into Excess3 code.
Example 1: Convert (11110)_{2} to Excess3 using binary
1. First, convert the given binary number into a decimal number.
Binary Number: (11110)_{2}
Finding Decimal Equivalent of the number:
Decimal number of the Binary number (11110)_{2} is (30)_{10}
2. Now, we add 3 in each digit of the decimal number.
The decimal number is 30. Now, we will add 3 into the decimal number 30.
= 30 + 33
= 63
3. Now, we find the binary code of each digit of the decimal number 63.
We write the binary code of each decimal digit in order to get Excess3 code as:
Result:
(11110)_{2} = (01100011)_{Excess3}
Below is the table that contains the excess3 code of the decimal and BCD.
In the above table, the most significant bit of the decimal number is represented by the bit B3, and the least significant bits are represented by B2, B1, and B0.
Example 1: (01100011)_{Excess3}
1. Making groups of four bits and write their equivalent decimal number.
(01100011)Excess3 = (0110 0011)Excess3
From the Excess3 table:
(0110)_{Excess3} = (3)_{10}
(0011)_{Excess3} = (0)_{10}
So, the decimal number of excess3 code 01100011 is: (30)_{10}
2. Find the binary number.
Now, find the binary number of the decimal number (30)10 using a decimal to binary conversion as:
Divide the number 30 and its successive quotients with base 2.
(30)_{10} = (11110)_{2}
So, the binary number of excess3 code 01100011 is: (11110)_{2}
6 videos76 docs52 tests


Explore Courses for Electronics and Communication Engineering (ECE) exam
