SECTION I-6: Converting from Decimal to Hex Number System

Converting from Decimal to Hex can be approached in two ways:

  1. Converting to Binary first and then convert to Hex. This method is demonstrated below.
  2. Convert directly from Decimal to Hex by repeated division, keep tracking of the remainders
Convert 4510 to Hex
32/1 16/0 8/1 4/1 2/0 1/1

First Convert to Binary

32+8+4+1 = 4510

45= 0010 11012 = 2D
Convert 62910 to Hex
512 256 128 64 32 16 8 4 2 1
1 0 0 1 1 1 0 1 0 1
62910 - (512+64=32+16+4+1) = 0010 0111 01012 = 275 Hex
Convert 171410 to Hex
1024 512 256 128 64 32 16 8 4 2 1
1 1 0 1 0 1 1 0 0 1 0
171410  - (1024+512+128+32+16+2) = 0110 1011 00102 = 6B2 Hex

 

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