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Logic Experiment 4

Logic Experiment 4. 老師：伍紹勳 助教：邱麟凱 蔡東倫. BCD Adder. Equipment ： IC ： 7408 x 1 、 7432 x 1 、 7483 x 2 、 7447(DCBA) x 1 、 LED x 1 、 7-Segment LED x 1. BCD Adder. Hexadecimal 4bit 可表示數字 0~15 方便計算 Binary-Coded Decimal(BCD) 4bits 可表示數字 0~9 不方便計算 → 衍伸出數種表示和計算方式

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Logic Experiment 4

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  1. Logic Experiment 4 老師：伍紹勳 助教：邱麟凱 蔡東倫

  2. BCD Adder Equipment： IC：7408 x 1、7432 x 1、7483 x 2、7447(DCBA) x 1、LED x 1、7-Segment LED x 1

  3. BCD Adder • Hexadecimal • 4bit 可表示數字 0~15 • 方便計算 • Binary-Coded Decimal(BCD) • 4bits 可表示數字 0~9 • 不方便計算 → 衍伸出數種表示和計算方式 • 方便有關十進位的處理，如: 顯示數字。

  4. BCD Adder 十位數進位 Combinational Logic 4-bit Adder ∵BCD ∴輸入介於 0~10 個位數

  5. a b f g e c dp d 7-Segment LED • 共陽極七段顯示器 • A, k 連接到 VCC • 輸入為低電位，LED才會亮 LED 對應圖 電路腳位圖

  6. IC 7447 輸入順序(由高到低): D CB A 接1或空接

  7. 7-Segment LED 務必加上電阻 330Ω(橘橘棕)

  8. 四位元加法器

  9. 0≦A, B ≦9 → 0≦A+B ≦18 • 0~9 • 結果保持不動 • 10~18 • 將結果加6(10+6=16)，使得十位數進位、個位數保留

  10. >9 => add 6 Tens digit Units digit ex: 7+8=15 BCD : 0 1 1 1 +1 0 0 0 1 1 1 1 +0 1 1 0 0 0 0 1 0 1 0 1

  11. Binary Sum BCD Sum K T8 T4 T2 T1C S8 S4 S2 S1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 2 0 0 0 1 0 0 0 0 1 0 2 3 0 0 0 1 1 0 0 0 1 1 3 4 0 0 1 0 0 0 0 1 0 0 4 5 0 0 1 0 1 0 0 1 0 1 5 6 0 0 1 1 0 0 0 1 1 0 6 7 0 0 1 1 1 0 0 1 1 1 7 8 0 1 0 0 0 0 1 0 0 0 8 9 0 1 0 0 1 0 1 0 0 1 9 A 0 1 0 1 0 1 0 0 0 0 10 B 0 1 0 1 1 1 0 0 0 1 11 C 0 1 1 0 0 1 0 0 1 0 12 D 0 1 1 0 1 1 0 0 1 1 13 E 0 1 1 1 0 1 0 1 0 0 14 F 0 1 1 1 1 1 0 1 0 1 15 10 1 0 0 0 0 1 0 1 1 0 16 11 1 0 0 0 1 1 0 1 1 1 17 12 1 0 0 1 0 1 1 0 0 0 18 13 1 0 0 1 1 1 1 0 0 1 19 T2T1 00 01 11 10 00 01 11 1 1 1 1 10 1 1 T8T4 When to add 6? 1. T8 T4 T2 T1 > 9 T8T4 + T8T2 2. Carry is 1 F = T8T4 + T8T2 + K

  12. T8T4 + T8T2 + K Add 6 or not

  13. Input T8T4 + T8T2 + K Add 6 or not A,K connect to +5V dp not connect Units Digit Tens Digit ( LED )

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