![](data:image/png;base64,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)
Giáo trình Kỹ thuật Vi xử lý
CHƯƠNG 1. TỔNG QUAN VỀ CÁC HỆ VI XỬ LÝ
I.1. Các hệ đếm
Hệ đếm thông dụng nhất trong đời sống là hệ đếm cơ số 10 (thập phân - Decimal),
sử dụng 10 ký tự số từ 0 đến 9. Ngoài ra, trong sản xuất, kinh doanh còn có khi sử
dựng hệ đếm cơ số 12 (tá - dozen).
Trong các hệ thống máy tính, để xử lý, tính toán, ta sử dụng hệ đếm cơ số 2 (nhị
phân - Binary), hệ cơ số 8 (bát phân - Octal), hệ cơ số 16 (Hexa). Tuy nhiên, việc nhập
dữ liệu hay đưa kết quả xử lý ta lại dùng hệ đếm cơ số 10.
Một số N trong một hệ đếm bất kỳ có n +1 chữ số, trong đó gồm n chữ số thuộc
phần nguyên và l chữ số thuộc phần thập phân, được triển khai theo công thức tổng
quát:
R là cơ số của hệ đếm
ak là trọng của chữ số ở vị trí thứ k (O < ak < R)
{ak}R = {0, 1, 2, 3,..., R - 1}
l, n là số nguyên
N = anan-1…a1a0,a-1a-2…a-1
Theo công thức trên, các số được biểu diễn trong các hệ đếm khác nhau sẽ như
sau:
I.1.1. Hệ đếm thập phân (R = 10 - Decimal)
{ak}D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
123,45D = 1 x 102 + 2 x 101 + 3 x 100 + 4 x 10-1 + 5 x 10-2
I.1.2. Hệ đếm nhị phân (R = 2 - Binary)
{ak}B = {0, 1}
11011.01B = 1 x 24 + 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 + 0 x 2-1 + 1 x 2-2 =
= 16 + 8 + 0 + 2 + 1 + 0 + 0,25 = 27,25D
I.1.3. Hệ đếm bát phân (R = 8 - Octal)
{ak}O = {0, 1, 2, 3, 4, 5, 6, 7}
653,12O = 6 x 82 + 5 x 81 + 3 x 80 + 1 x 8-1 + 2 x 8-2 =
= 384 + 40 + 3 + 0, 125 + 0,03125 = 427,1562D
Lưu ý: Các chữ số trong hệ này có thể biểu diễn nhờ 3 ký tự số ("0" và "1")
Bộ môn Kỹ thuật máy tính 3