Example: Find 1017 ( 1020) − − − 1111 1100 0000 0111 [ 1017 d ] − 0000 0011 1111 1100 [ ( 1020) d ] − − -------------------------------------------------- 0000 0000 0000 0011 [= +3 d ] Binary Multiplication Binary multiplication is similar to decimal multiplication. It is simpler than decimal multiplication because only 0s and 1s are involved. There are four rules of binary multiplication. Example Multiplication − Binary Division Binary division is similar to decimal division. It is called as the long division procedure. Example Division − QUESTION Obtain the 1’s complement and 2’s complement of the following binary numbers 101010001 ii) 00001001 iii) 1000111110 Obtain the 9’s complement and 10’s complement of the following numbers i) 13579 ii) 90090 iii) 00000 Perform the subtraction with the following decimal numbers using 10’s complement And 9’s complement. a) 5250-321 b) 753-864 c) 3570-2100 Find the 16's complement of B2FA. Convert decimal + 46 and + 29 to binary. using the signed-2' complement representation and enough digits to accommodate the numbers. Then perform the binary equivalent of (+ 29) + (-49 ), ( - 29) + (+49) . and ( - 29) + ( - 49) . Convert the answers back In decimal and verify that they are correct.
Example: Find − 1017 − ( − 1020) 1111 1100 0000 0111 [ − 1017 d ] 0000 0011 1111 1100 [ − ( − 1020) d ] -------------------------------------------------- 0000 0000 0000 0011 [= +3 d ] Binary Multiplication Binary multiplication is similar to decimal multiplication. It is simpler than decimal multiplication because only 0s and 1s are involved. There are four rules of binary multiplication. Example − Multiplication Binary Division Binary division is similar to decimal division. It is called as the long division procedure. Example − Division QUESTION Obtain the 1’s complement and 2’s complement of the following binary numbers 101010001 ii) 00001001 iii) 1000111110 Obtain the 9’s complement and 10’s complement of the following numbers i) 13579 ii) 90090 iii) 00000 Perform the subtraction with the following decimal numbers using 10’s complement And 9’s complement. a) 5250-321 b) 753-864 c) 3570-2100 Find the 16's complement of B2FA. Convert decimal + 46 and + 29 to binary. using the signed-2' complement representation and enough digits to accommodate the numbers. Then perform the binary equivalent of (+ 29) + (-49 ), ( - 29) + (+49) . and ( - 29) + ( - 49) . Convert the answers back In decimal and verify that they are correct.
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