Equivalent of the decimal number (25.375)10 in binary form

Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET

Best NIMCET Coaching
Aspire Study
Online Classes, Classroom Classes
and More.

Question Id : 11593 | Context :NIMCET 2023

🎥 Video solution / Text Solution of this question is given below:

? Given: Convert (25.375)₁₀ to binary.

Integer Part (25):
Divide by 2 repeatedly:

25 ÷ 2 = 12 remainder 1  
12 ÷ 2 = 6  remainder 0  
6  ÷ 2 = 3  remainder 0  
3  ÷ 2 = 1  remainder 1  
1  ÷ 2 = 0  remainder 1

→ Binary: 11001

Fractional Part (0.375):
Multiply by 2 repeatedly:

0.375 × 2 = 0.75   → 0  
0.75 × 2  = 1.5    → 1  
0.5 × 2   = 1.0    → 1

→ Binary: .011

✅ Final Binary Answer: (25.375)₁₀ = (11001.011)₂

Aspire Study Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Aspire Study Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Ask Your Question or Put Your Review.