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Conversion and Coding

Conversion and Coding. (12) 10. Conversion and Coding. (12) 10. 1100. Conversion. Conversion and Coding. (12) 10. Coding (using BCD code for each digit). 0001 0010. 1100. Conversion. BCD Adder. Design a circuit that calculates the Arithmetic addition of two decimal digits. 9. +.

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Conversion and Coding

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  1. Conversion and Coding (12)10

  2. Conversion and Coding (12)10 1100 Conversion

  3. Conversion and Coding (12)10 Coding (using BCD code for each digit) 00010010 1100 Conversion

  4. BCD Adder Design a circuit that calculates the Arithmetic addition of two decimal digits. 9 + 3 1 2 carry

  5. BCD Adder • Maximum sum is 9+9 + 1 = 19 Max digit Carry from previous digits

  6. BCD adder (sum up to 9)

  7. BCD adder (sum up to 9) The sum is the same with BCD adder

  8. BCD adder (sum is 10 to 19)

  9. BCD adder (sum is 10 to 19) Binary sum BCD adder sum

  10. BCD adder (sum is 10 to 19) Binary sum BCD adder sum

  11. BCD adder (sum is 10 to 19) Binary sum BCD adder sum +6

  12. Algorithm for BCD Adder • If sum is up to 9 • Use the regular Adder. • If the sum > 9 • Use the regular adder and add 6 to the result

  13. When is the result > 9 Binary sum C = K +

  14. When is the result > 9 Binary sum C = K + Z8*Z4+

  15. When is the result > 9 Binary sum C = K + Z8*Z4+ Z8*Z2

  16. BCD Adder 4-bit Adder Cin z4 z2 z1 z8 0 0 4-bit Adder s4 s2 s1 s8 K

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