# #3 - EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS...

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EE EE200 200 200(class class class 2-1) Prof. M.M. Dawoud Prof. M.M. Dawoud 1of of of of 4 EE200 DIGITAL LOGIC CIRCUIT DESIGN Class Notes CLASS 2-1 The material covered in this class will be as follows: Complements Subtraction using complements. Decimal number complements: 9’s complement of the decimal number N = (10 n – 1) – N = n (9’s) – N i.e. {subtract each digit from 9} Example 9’s complement of 134795 is 865204 Similarly 1’s complement of the binary number N = (2 n -1) – N = n (1’s) – N Example 1’s complement of 110100101 is 001011010 which can be obtained by replacing each one by a zero and each zero by one. r’s complement: 10’s complement of the decimal number N = 10 n – N = (r-1)’s complement + 1 Example 10’s complement of 134795 is 865205 Example find the 9’s and 10’s complements of 314700. Answer 9’s complement = 685299

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EE EE200 200 200(class class class 2-1) Prof. M.M. Dawoud Prof. M.M. Dawoud 2of of of of 4 10’s complement=685300 Rule: To find the 10’s complement of a decimal number leave all leading zeros unchanged. Then subtract the first non-zero digit
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• Spring '09
• prof.ahmed
• Decimal, Elementary arithmetic, zero digit, Prof. M.M. Dawoud