Math Problem Statement
.2A7F (hexadecimal) (10 Points)
0010101101110111
1010101001111101
0010101001111111
0010111001101111
Solution
To determine which binary sequence corresponds to the hexadecimal value .2A7F
, we first convert .2A7F
into binary:
Step 1: Convert each hexadecimal digit to binary
Hexadecimal digits and their binary equivalents:
- 2 =
0010
- A =
1010
- 7 =
0111
- F =
1111
So, .2A7F
in binary is:
binary0010 1010 0111 1111
Step 2: Compare the options
Looking at the given options:
- 0010101101110111
- 1010101001111101
- 0010101001111111 ← This matches
0010101001111111
exactly. - 0010111001101111
Final Answer:
Option 3: 0010101001111111
Do you want a step-by-step breakdown of the conversion? Let me know!
Here are 5 related questions to expand on this concept:
- How do you convert a binary number back to hexadecimal?
- What is the decimal equivalent of
.2A7F
? - How do you differentiate between uppercase and lowercase hexadecimal letters during conversion?
- Can you explain how hexadecimal simplifies binary representation?
- How would you convert a hexadecimal number to octal?
Tip: When converting hexadecimal to binary, remember each hex digit represents 4 binary bits.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Number Systems
Hexadecimal to Binary Conversion
Formulas
Each hexadecimal digit represents 4 binary bits.
Hexadecimal to binary conversion table.
Theorems
Positional Number System Theory
Suitable Grade Level
Grades 8-10
Related Recommendation
Hexadecimal to Binary Conversion Guide
Convert Binary to Decimal and then Octal P₈ = 1010110101₂
Convert Binary, Octal, and Hexadecimal Numbers to Decimal
Binary to Hexadecimal Conversion: 1001.1111, 110101.011001, 10100111.111011
Converting Between Decimal, Binary, Octal, and Hexadecimal Number Systems