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The base 2 transformation from the fraction

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Look in the red house yt. Explain in detail. Ready to take the exam.

2025/8/10 Edited to

เวลาเจอโจทย์ “แปลงเลขฐาน” โดยเฉพาะเลขฐาน 2 ที่มีเศษส่วน (เช่น 1/4, 1/2) เราอย่ารีบทำรวดเดียว แนะนำให้แยกเป็น 2 ส่วนเหมือนในรูปเลย: ส่วนจำนวนเต็ม + ส่วนเศษส่วน แล้วค่อยเอามาต่อกันเป็นรูปแบบ A.B (ฐานสอง) 1) แปลงส่วนจำนวนเต็ม (ตัวอย่าง 27) วิธีที่ใช้บ่อยคือ “หาร 2 แล้วเก็บเศษ” 27 ÷ 2 = 13 เศษ 1 13 ÷ 2 = 6 เศษ 1 6 ÷ 2 = 3 เศษ 0 3 ÷ 2 = 1 เศษ 1 1 ÷ 2 = 0 เศษ 1 อ่านเศษจากล่างขึ้นบน จะได้ 11011 ดังนั้น 27(ฐานสิบ) = 11011(ฐานสอง) 2) แปลงส่วนเศษส่วน (ตัวอย่าง 1/4 = 0.25) ส่วนนี้ใช้วิธี “คูณ 2 แล้วดูเลขหน้าจุด” ทำทีละสเต็ป: 0.25 × 2 = 0.5 → ได้เลขหน้าจุด = 0 0.5 × 2 = 1.0 → ได้เลขหน้าจุด = 1 แล้วจบ (เศษเป็น 0) ดังนั้น 0.25 = 0.01 (ฐานสอง) ทริคจำง่าย: 1/2 = 0.1, 1/4 = 0.01, 1/8 = 0.001 (เลื่อนไปเรื่อย ๆ) 3) รวมคำตอบ เอาส่วนจำนวนเต็ม + จุด + ส่วนเศษส่วน 27 1/4 = 27.25 = 11011.01 (ฐานสอง) 4) วิธีเช็กคำตอบแบบเร็ว (กันพลาด) เอา 11011.01 กลับเป็นฐานสิบ: 11011 = 16 + 8 + 2 + 1 = 27 .01 = 0×(1/2) + 1×(1/4) = 0.25 รวมเป็น 27.25 ตรงเป๊ะ 5) คำถามที่คนค้นบ่อย: “27*0.25 ได้เท่าไหร่?” 0.25 คือ 1/4 ดังนั้น 27 × 0.25 = 27 ÷ 4 = 6.75 (อันนี้เกี่ยวกับการคูณทศนิยม ไม่ใช่การแปลงฐานโดยตรง แต่ใช้เป็นทบทวนเรื่อง 0.25 = 1/4 ได้ดี) 6) “เศษ 1 ส่วน 2 พิมพ์ยังไง” ถ้าพิมพ์แบบทั่วไป: 1/2 หรือ 0.5 ถ้าเขียนแบบจำนวนคละ: 1 1/2 (อ่านว่า หนึ่งเศษหนึ่งส่วนสอง) เวลาเอาไปคำนวณ แนะนำแปลงเป็นทศนิยม (0.5) หรือเศษเกิน (3/2) ก่อน จะไม่งง สรุปสั้น ๆ: จำนวนเต็มใช้ “หาร 2 เก็บเศษ”, เศษส่วนใช้ “คูณ 2 เก็บเลขหน้าจุด” แล้วค่อยนำมารวมกัน แบบนี้ทำโจทย์เลขฐาน 2 ที่มีเศษส่วนได้ทุกข้อเลย

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