Number System Conversions Lecture L2.2 Section 2.3

Number System Conversions Hex, Binary, and Octal to Decimal Binary Hex Binary Octal Hex Octal Decimal to Hex, Octal, and Binary

Hex to Decimal 87C987C9 x x 16 2, ,172 x 16 34, ,761

Binary Hex A8. F 5 C

Binary Octal

Hex Octal Go through Binary A8. F 5 C

Convert Decimal to any Base Integer Part: Divide by the base, keep track of the remainder, and read up , ,172rem rem 12 = C 16 8 rem 7 0 rem 8 Read up 34, = 87C9 16

Convert Decimal to any Base Fractional Part: Multiply by the base, keep track of the integer part, and read down x 16 = 12.5 int = 12 = C 0.5 x 16 = 8.0 int = 8 Read down = C8 16

Convert Decimal to any Base Fractional Part: Multiply by the base, keep track of the integer part, and read down. 0.1 x 2 = 0.2 int = x 2 = 0.4 int = x 2 = 0.8 int = x 2 = 1.6 int = x 2 = 1.2 int = x 2 = 0.4 int = x 2 = 0.8 int = 0 Read down =

Questions = ? (decimal)

Questions = ? 16

Questions BED 16 = ? 2