Đề thi dự thính cuối kỳ 2 môn thi Kỹ thuật số
Trường Đại học Bách Khoa TP.HCM−Khoa Điện-Điện Tử−Bộ môn Điện Tử
ꢁꢂꢃꢀꢄꢅꢀꢆꢇꢈꢉꢀꢊꢂꢋꢀ
ꢗꢇꢜꢉ
ꢀ
ꢉꢊꢅꢀꢋꢌꢅꢍꢎꢅꢀꢋꢏꢐꢋꢅꢑꢒꢓꢌꢅꢔꢕꢅꢌꢌꢅꢖꢗꢘꢆꢗꢙꢗꢘꢆꢚꢛꢅ
ꢜꢝꢃꢅꢞꢟꢠꢡꢅꢔꢢꢅꢀꢋꢒꢣꢀꢅꢤꢓꢅꢖꢈꢘꢗꢘꢗꢥꢛꢀꢀꢀꢀ
ꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢅꢀꢟꢦꢠꢅꢄꢠꢂꢃꢡꢅꢧꢘꢅꢨꢟꢩꢞꢅ
ꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢅꢐꢄꢪꢫꢅꢞꢟꢠꢡꢅꢚꢘꢇꢘꢬꢇꢗꢘꢆꢚꢅ
ꢀꢖꢤꢠꢃꢟꢅꢭꢠꢮꢃꢅꢯꢟꢝꢃꢄꢅꢰꢱꢲꢳꢅꢴꢵꢅꢶꢷꢃꢄꢅꢞꢪꢠꢅꢸꢠꢹuꢛꢅ
ꢀ
ꢀ
ꢅꢋꢺꢅꢀꢻꢐꢡꢅꢼꢼꢼꢼꢼꢼꢼꢼꢼꢼꢼꢼꢼꢼꢼꢅꢅꢜꢤꢤꢽꢡꢅꢼꢼꢼꢼꢼꢼꢼꢾꢅꢅꢅꢐꢋꢿꢜꢡꢅꢼꢼꢼꢾꢾꢅ
ꢅ
ꢌꢇꢍꢂꢀꢎꢇꢏꢍꢀꢐꢑꢉꢀꢒꢑꢇꢀꢊꢂꢇꢀꢍꢆayꢀꢊꢓꢏꢍꢀꢔꢕꢀꢖꢀꢗꢕꢀꢊꢂꢇꢀꢘꢙꢀꢚꢛꢀꢊꢓaꢍꢆꢀ
ꢑꣀuꢅꢆꢡꢅꢖꢗꢾꢘꢅꢰꢠꣁꣂꢛꢅꢅ
ꢁꢂꢀꢃꢄꢅꢀꢄꢆꢇꢀꢈꢀꢉꢊꢋꢌꢀꢍꢎꢏꢐꢑꢐꢃꢒꢀꢓꢔꢕꢖꢀꢗꢄꢘꢖꢀꢄꢊꢙꢌꢀꢚꢛꢌꢜꢀꢖꢝꢖꢀꢖꢞꢌꢜꢀꢟꢅꢜꢊꢖꢀꢌꢄꢔꢀꢄꢠꢌꢄꢀꢡꢢꢂꢀꢑꢊꢋꢗꢀꢣꢤꢌꢜꢀꢄꢆꢇꢀ
ꢍꢎꢏꢐꢑꢐꢃꢒꢀꢖꢥꢀꢉꢦꢌꢜꢀꢜꢊꢝꢀꢗꢣꢧꢀꢉꢨꢌꢀꢚꢔꢩꢊꢂ
ꢀ
ꢀ
ꣃꢃꢄꢅꢄꢠꢅꢞꢁꢡꢅ
Aꢅ
ꢷꢀ
ꢷꢀ
ꢷꢀ
ꢷꢀ
ꣀꢀ
ꣀꢀ
ꣀꢀ
ꣀꢀ
ꣃꢅ
ꢷꢀ
ꢷꢀ
ꣀꢀ
ꣀꢀ
ꢷꢀ
ꢷꢀ
ꣀꢀ
ꣀꢀ
ꢑꢅ ꣄ꢅ
ꢷꢀ
ꣀꢀ
ꢷꢀ
ꣀꢀ
ꢷꢀ
ꣀꢀ
ꢷꢀ
ꣀꢀ
ꢷꢀ
ꣀꢀ
ꢷꢀ
ꣀꢀ
ꢷꢀ
ꣀꢀ
ꣀꢀ
ꣀꢀ
ꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀ
ꢏꢀ
ꢀ
ꢳꣅꢃꢄꢅ
ꢸoꢄꢠꢳꢅ
ꢑꢀ
ꢃꢀ
ꢍꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢊꢂꢀꢃꢄꢪꢀꢚꢘꢁꢀꢡꢆꢅꢀꢉꢦꢌꢜꢀꢜꢊꢝꢀꢗꢣꢧꢀꢎꢫꢄꢬꢌꢜꢀꢣꢭꢗꢀꢜꢮꢌꢀꢚꢛꢌꢜꢀꢉꢠꢁꢀꢯꢐꢀꢰꢄꢔơꢌꢜꢀꢰꢄꢝꢰꢀꢓꢱꢊꢀꢲꢳꢐꢴꢂꢒꢐꢀꢖꢄꢪꢀꢣꢁꢀꢖꢞꢌꢜꢀ
ꢟꢅꢜꢊꢖꢀꢖꢵꢌꢀꢗꢄꢊꢋuꢀꢗꢣꢅꢌꢜꢀꢲơꢀꢓꢶꢂꢀꢎꢷꢂꢸꢀꢓꢊꢹꢇꢒꢀ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢀ
ꢊꢊꢂꢀꢺꢛꢌꢜꢀꢉꢠꢁꢀꢯꢀꢣꢭꢗꢀꢜꢮꢌꢀꢄꢆꢇꢀꢍꢎꢏꢐꢑꢐꢃꢒꢀꢡꢆꢀꢫꢊꢹꢇꢀꢗꢣꢁꢀꢖꢞꢌꢜꢀꢟꢅꢜꢊꢖꢀꢓꢻꢀꢗꢠꢇꢀꢓꢔꢕꢖꢀꢼꢀꢖꢽuꢀꢊꢂꢀꢎꢷꢂꢸꢀꢓꢊꢹꢇꢒꢀ
ꢀ
ꢀ
ꢀ
ꢉꢂꢀꢃꢄꢅꢀꢄꢆꢇꢀꢈꢀꢉꢊꢋꢌꢀ
ꢍꢏꢐꢑꢐꢃ
= ꢏ ⊕ ꢑ + ꢏꢂꢑꢂꢃ ꢂꢀꢃꢄꢾꢌꢜꢀꢇꢊꢌꢄꢀꢣꢤꢌꢜꢀ
ꢍ
ꢏꢐꢑꢐꢃ = ꢏꢑ + ꢏꢑ ꢐꢀꢡꢩꢊꢀ
ꢍ
ꢏꢐꢑꢐꢃ ꢀꢟꢆꢀꢉꢛꢀꢖꢿꢁꢀꢄꢆꢇꢀ
ꢍ
ꢏꢐꢑꢐꢃ ꢂꢀꢎꣀꢂꢷꢀꢓꢊꢹꢇꢒꢀ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢀ
ꢀꢁꢂꢃꢄꢅꢆꢅꢇꢅꢈꢅ
ꢑꣀuꢅꢗꢡꢅꢖꢚꢾꢘꢅꢰꢠꣁꣂꢛꢅ
ꢃꢄꢅꢀꢏꣁꢀꢏꣀꢏꢷꢀꢡꢆꢀꢑꣁꢀꢑꣀꢑꢷꢀꢟꢆꢀꢄꢁꢊꢀꢲꢳꢀꢌꢄꢧꢀꢰꢄꢽꢌꢀꢫꢄꢬꢌꢜꢀꢚꣂuꢐꢀꢇꣃꢊꢀꢲꢳꢀꢖꢥꢀ꣄ꢀꢉꢊꢗꢐꢀꢗꢣꢅꢌꢜꢀꢓꢥꢀꢏꣀꢀꢟꢆꢀꣅꢑꢀ
ꢖꢿꢁꢀꢏꢀꢡꢆꢀꢑꣀꢀꢟꢆꢀꣅꢑꢀꢖꢿꢁꢀꢑꢂꢀꢮꢊꢀꢍꢀꢟꢆꢀꢫꢋꢗꢀuꢦꢀꢖꢿꢁꢀꢰꢄꢰꢀꢌꢄꢽꢌꢀꢜꢊꢁꢀꢏꢀꢡꢆꢀꢑꢂꢀ
ꢁꢂꢀꢰꢀꢉꢦꢌꢜꢀꢜꢊꢝꢀꢗꢣꢧꢀꢖꢿꢁꢀꢄꢙꢀꢗꢞꢀꢄꢕꢰꢀꢗꢣꢨꢌꢂꢀꢎꣀꢂꢷꢀꢓꢊꢹꢇꢒꢀ
ꢱuꢅꢡꢀꢊꢌꢄꢀꢡꢊꢨꢌꢀꢝꢖꢀꢓꢧꢌꢄꢀꢣ꣎ꢀꢖ꣏ꢌꢀꢉꢁꢅꢀꢌꢄꢊꢨuꢀꢉꢊꢗꢀꢓꢹꢀꢉꢊꢹuꢀꢚꢊ꣐ꢌꢀꢌꢜ꣎ꢀꢣꢁꢀꢍꢂꢀꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢉꢂꢀꢺꢛꢌꢜꢀꢉ꣑ꢀꢜꢊꢦꢊꢀꢇꢻꢀ꣒ꢀꢲꢁꢌꢜꢀꣀ꣓ꢀꢌꢜ꣎ꢀꢣꢁꢀꢗ꣔ꢖꢄꢀꢖꢘꢖꢀꢗꢄꣂꢰꢀꢡꢆꢀꢖꢞꢌꢜꢀꢟꢅꢜꢊꢖꢀꢖ꣏ꢌꢀꢗꢄꢊꢋꢗꢀꢗꢄꢘꢖꢀꢄꢊꢙꢌꢀꢉ꣑ꢀꢌꢄꢽꢌꢀ
ꢗꢣꢨꢌꢂꢀꢎꣀꢂꢷꢀꢓꢊꢹꢇꢒꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢖꢂꢀꢺꢛꢌꢜꢀꢉ꣑ꢀꢖ꣑ꢌꢜꢀꢉꢝꢌꢀꢰꢄ꣏ꢌꢀꢎ꣕ꢏꢒꢀꢎꢡꢢꢀꢚꢱꢌꢜꢀꢲơꢀꢓꢶꢀꢫꢄꢳꢊꢒꢀꢡꢆꢀꢖꢞꢌꢜꢀꢟꢅꢜꢊꢖꢀꢎꢌꢋuꢀꢖ꣏ꢌꢒꢀꢗꢄꢘꢖꢀꢄꢊꢙꢌꢀꢉ꣑ꢀ
ꢌꢄꢽꢌꢀꢗꢣꢨꢌꢂꢀꢎꣀꢂꢷꢀꢓꢊꢹꢇꢒꢀ
ꢲꢠꢅꢡꢀSinh viên viết phép nhân tổng quát giữa 2 số A1A0 với B1B0, từ đó thực hiện dùng bộ
cộng bán phần (HA) và cổng logic (nếu cần).
ꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢏꣀꢏꢷꢀ
×ꢀ
ꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢀꢑꣀꢑꢷꢀ
ꢀꢁꢂꢃꢄꢅꢗꢅꢇꢅꢈꢅ
ꢑꣀuꢅꢚꢡꢅꢖꢗꢾꢬꢅꢰꢠꣁꣂꢛꢅ
꣖ꢀꢚ꣗ꢌꢜꢀꢺ꣘ꢍꢍꢀꢖꢥꢀꢌꢜ꣎ꢀꢡꢆꢅꢀuꢌꢜꢀꢖꢟꢅꢖꢫꢀꢫ꣔ꢖꢄꢀꢗꢄeꢅꢀꢖꢱꢌꢄꢀuꢳꢌꢜꢐꢀꢖꢝꢖꢀꢌꢜ꣎ꢀꢡꢆꢅꢀꢰꢣeꢲeꢗꢀꢎ꣙ꢣꢒꢀꢡꢆꢀ
ꢖꢟeꢁꢣꢀꢎꢃꢟꢒꢀꢗ꣔ꢖꢄꢀꢖꢘꢖꢀꢇꢾꢖꢀꢗꢄꣂꢰꢐꢀꢗꢄꢊꢋꢗꢀꢫꢋꢀꢉ꣑ꢀꢓꢋꢇꢀꢌꢳꢊꢀꢗꢊꢋꢰꢀꢎꢉ꣑ꢀꢓꢋꢇꢀꢉꣂꢗꢀꢓꢶꢌꢜꢀꢉ꣑ꢒꢀꢈꢀꢉꢊꢗꢀ꣄ꣀꢷꢀ
ꢎꢡꢩꢊꢀ꣄ꢀꢟꢆꢀꣅꢑꢒꢀꢓꢋꢇꢀuꢳꢌꢜꢀꢗꢀꢜꢊꢝꢀꢗꢣꢧꢀꢈꢀꢡꢆꢀꢇꢅꢚuꢟꢅꢀꢖꢿꢁꢀꢉ꣑ꢀꢓꢋꢇꢀꢉꢤꢌꢜꢀꢸꢂꢅ
ꢁꢂꢀꢃꢄuꢀꢫꢀꢓꢋꢇꢀꢖꢿꢁꢀꢉ꣑ꢀꢓꢋꢇꢀꢗꢣꢨꢌꢀꢟꢆꢀꢎꢷꢂꢸꢀꢓꢊꢹꢇꢒꢀ
ꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢴꢀ
ꢉꢂꢀꢣꢠꢌꢄꢀꢉꢆyꢀꢖꢝꢖꢄꢀꢗꢄꢊꢋꢗꢀꢫꢋꢀꢗ꣔ꢌꢀꢄꢊꢙuꢀꢣeꢲeꢗꢀꢂꢀꢎꢷꢂꢸꢀꢓꢊꢹꢇꢒꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢀ
ꢖꢂꢀꢢꢀꢲơꢀꢓꢶꢀꢟꢅꢜꢊꢖꢀꢗꢄꢘꢖꢀꢄꢊꢙꢌꢀꢉ꣑ꢀꢓꢋꢇꢀꢗꢣꢨꢌꢂꢀꢎꣀꢂꢷꢀꢓꢊꢹꢇꢒꢀ
ꢅ
ꢅ
ꢅ
ꢅ
ꢚꢂꢀꢢꢀꢜꢊꢦꢌꢀꢓꢶꢀuꢌꢜꢀꢉ꣑ꢀꢓꢋꢇꢀꢎꢗ꣔ꢌꢀꢄꢊꢙuꢀꢌꢜ꣎ꢀꢣꢁꢀꢷꢐꢀꣀꢐꢀ꣄ꢒꢀꢡꢆꢀꢗ꣔ꢌꢀꢄꢊꢙuꢀꢣeꢲeꢗꢀꢐꢀꢜꢊꢦꢀꢲ꣖ꢀꢉꢁꢌꢀꢓ꣏uꢀ
ꢗꢆꢘ꣎ꢆꢘꢆꢀꢎꢷꢂꢸꢀꢓꢊꢹꢇꢒꢀ
ꢅ
ꢅ
ꢑꢔꢅ
ꢆꢅ
ꢅ
ꢅ
ꢘꢅ
ꢖꢤꣃꢛꢅ
ꢅ
ꢘꢅ
ꢆꢅ
ꢅ
ꢅ
ꢅ
ꢅ
ꢅ
ꢅ
ꢅ
ꢆꢅ
ꢗꢅ
꣏ꢅ
ꢀꢁꢂꢃꢄꢅꢚꢅꢇꢅꢈꢅ
ꢑꣀuꢅꢈꢡꢅꢖꢗꢾꢬꢅꢰꢠꣁꣂꢛꢅ
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ꢀꢁꢂꢃꢄꢅꢈꢅꢇꢅꢈꢅ
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