02_LCD_Slide_Handout_1(17) - Addition of Number Systems...

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*Property of STI K0028 ARITHMETIC OPERATIONS Subtraction of Number Systems Addition of Number Systems Multiplication of Number Systems Division of Number Systems 1 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Addition of Number Systems Binary Addition Rules: A + B Sum Carry 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 2 __________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Addition of Number Systems Octal Addition Rule: The addition of octal numbers is not difficult, provided that one must remember that anytime the SUM of two digits (in decimal) exceeds 7, a carry is produced Hexadecimal Addition Rule: The addition of hexadecimal numbers is not difficult, provided that one must remember that anytime the SUM of two digits (in decimal) exceeds 15, a carry is produced 3 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Addition of Number Systems Practice Exercises 101110111 2 + 111111100 2 67556 8 + 76775 8 FFFFFF 16 + BBCAF 16 4 __________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________
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*Property of STI K0028 Subtraction of Number Systems Binary Subtraction Rules: A - B Difference Borrow 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 5 _________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ *Property of STI K0028 Subtraction of Number Systems Two Types of Complements Radix Complement (R's complement) Formula: C = r n – N Where: » C = complement of the number » N = number » r = base of the number »
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