Hexadecimal to decimal 3C. 1A3 decimal to hexadecimal 169

Mathematics

ScanSolve AI Answer

Step-by-step solution

10 steps

Here's how to convert those numbers:

1. Hexadecimal to Decimal

  • 3C (hexadecimal)
  1. Break down the hexadecimal number by place value.

    The rightmost digit is in the 16⁰ place, and the next digit to the left is in the 16¹ place.
    3C = (3 × 16¹) + (C × 16⁰)

  2. Convert the hexadecimal digit 'C' to its decimal equivalent.

    C in hexadecimal is 12 in decimal.
    3C = (3 × 16) + (12 × 1)

  3. Perform the multiplication and addition.

    3C = 48 + 12  
    3C = 60 (decimal)
    
    • 1A3 (hexadecimal)
  4. Break down the hexadecimal number by place value.

    The rightmost digit is in the 16⁰ place, the next is in the 16¹ place, and the leftmost is in the 16² place.
    1A3 = (1 × 16²) + (A × 16¹) + (3 × 16⁰)

  5. Convert the hexadecimal digit 'A' to its decimal equivalent.

    A in hexadecimal is 10 in decimal.
    1A3 = (1 × 256) + (10 × 16) + (3 × 1)

  6. Perform the multiplication and addition.

    1A3 = 256 + 160 + 3  
    1A3 = 419 (decimal)
    

    2. Decimal to Hexadecimal

    • 2297 (decimal)
  7. Repeatedly divide the decimal number by 16 and record the remainders.

    2297 ÷ 16 = 143 remainder 9  
    143 ÷ 16 = 8 remainder 15 (F in hex)  
    8 ÷ 16 = 0 remainder 8
    
  8. Read the remainders from bottom to top.

    Convert any remainders 10 or greater to their hexadecimal letter equivalents (10=A, 11=B, 12=C, 13=D, 14=E, 15=F).
    The remainders are 8, 15 (F), 9.
    2297 = 8F9 (hexadecimal)

    • 169 (decimal)
  9. Repeatedly divide the decimal number by 16 and record the remainders.

    169 ÷ 16 = 10 remainder 9  
    10 ÷ 16 = 0 remainder 10 (A in hex)
    
  10. Read the remainders from bottom to top.

    Convert any remainders 10 or greater to their hexadecimal letter equivalents.
    The remainders are 10 (A), 9.
    169 = A9 (hexadecimal)

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