Math Problem Statement

Answer the following. Convert the following binary numbers to Hindu arabic numbers and Hindu arabic numbers to binary numbers. DO NOT USE PUNCTUATIONS (e.g. PERIOD, COMMA, APOSTROPHE) Convert 1100011100111 Convert 1110010101 Convert 4618 to a binary number. Convert 101110011 to hindu arabic number. Convert 610 to a binary number. Convert 2359 to a binary number. Convert 110011101 to a hindu arabic number. Convert 1011011 to hindu arabic number. Convert 1386 to a binary number. Convert 6320 to a binary number.

Solution

Here are the conversions as requested:

  1. 1100011100111 (binary) = 6375 (Hindu-Arabic number)
  2. 1110010101 (binary) = 917 (Hindu-Arabic number)
  3. 4618 (Hindu-Arabic number) = 1001000001010 (binary)
  4. 101110011 (binary) = 371 (Hindu-Arabic number)
  5. 610 (Hindu-Arabic number) = 1001100010 (binary)
  6. 2359 (Hindu-Arabic number) = 100100110111 (binary)
  7. 110011101 (binary) = 413 (Hindu-Arabic number)
  8. 1011011 (binary) = 91 (Hindu-Arabic number)
  9. 1386 (Hindu-Arabic number) = 10101101010 (binary)
  10. 6320 (Hindu-Arabic number) = 1100010110000 (binary)

Would you like any further details or have any questions?

Here are 5 related questions to deepen understanding:

  1. How do you convert a binary number to a decimal (Hindu-Arabic) number?
  2. What is the binary representation of the number 1234?
  3. Can binary numbers be used for arithmetic operations like addition and subtraction?
  4. What is the significance of base-2 (binary) in computing systems?
  5. How do you convert a decimal number to a binary number manually?

Tip: Remember, when converting a binary number to decimal, each digit represents a power of 2, starting from the rightmost digit which represents 202^0.

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Math Problem Analysis

Mathematical Concepts

Binary Numbers
Hindu-Arabic Numbers
Number Base Conversions

Formulas

Binary to Decimal Conversion: Sum of binary digits multiplied by powers of 2
Decimal to Binary Conversion: Successive division of the decimal number by 2

Theorems

Place Value System (Base-2)
Positional Number System

Suitable Grade Level

Grades 5-8