Question

# Convert numbers among different number systems: ( 281 )10 = ( )2 = ( )16 (...

• Convert numbers among different number systems:
• ( 281 )10 = ( )2 = ( )16
• ( )10 = ( )2 = ( 281 )16
• ( )10 = ( 0110 1010 1011 )2 = ( )16

CSE 118 fundamentals of programming Java 14.0

General Explanation:

()2 means binary number.

()10 means decimal number.

To convert the decimal no to binary. Divide the decimal no by 2. And write the remainder from bottom to top.

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Consider the first part:

( 281 )10 = ( 100011001)2 = ( 119)16

Hex to binary calculation: (119)₁₆ = (1 × 16²) + (1 × 16¹) + (9 × 16⁰) = (281)₁₀

Second part:

( 641)10 = ( 1010000001)2 = ( 281 )16

Binary calculation: (281)₁₆ = (2 × 16²) + (8 × 16¹) + (1 × 16⁰) = (641)₁₀

Third part:

(1707 )10 = ( 0110 1010 1011 )2 = (6AB )16

Binary to decimal calculation: (011010101011)₂ = (0 × 2¹¹) + (1 × 2¹⁰) + (1 × 2⁹) + (0 × 2⁸) + (1 × 2⁷) + (0 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = (1707)₁₀

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