Digital Electronics - Number Systems and Codes - Discussion
Discussion Forum : Number Systems and Codes - General Questions (Q.No. 92)
92.
Convert 52716 to binary.
Discussion:
2 comments Page 1 of 1.
Iphendule Sinalo said:
2 years ago
Separate the digits of 527(base 16) to 5, 2, and 7. Find the binary representation of each digit in a 4-bit, then combine the representations.
This means:
1. for 5=> 8 4 2 1 (4-bit). 5 is the sum of 4+1, therefore, in the place of 4 and 1 we will put 1 and for the other put 0. Thus, 5=> 0 1 0 1.
Repeat the procedure for all the remaining digits.
2. for 2=> 8 4 2 1. Thus, 2=> 0 0 1 0
3. for 7=> 8 4 2 1. Thus, 7=> 0 1 1 1.
Therefore 527(base16) is (010100100111)base2.
This means:
1. for 5=> 8 4 2 1 (4-bit). 5 is the sum of 4+1, therefore, in the place of 4 and 1 we will put 1 and for the other put 0. Thus, 5=> 0 1 0 1.
Repeat the procedure for all the remaining digits.
2. for 2=> 8 4 2 1. Thus, 2=> 0 0 1 0
3. for 7=> 8 4 2 1. Thus, 7=> 0 1 1 1.
Therefore 527(base16) is (010100100111)base2.
Kuldeep singh said:
7 years ago
Explain the answer.
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