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How to Convert Decimal Numbers to Binary

How to Convert Decimal Numbers to Binary. EXAMPLES. Convert 37 to Binary. 128 64 32 16 8 4 2 1 128 doesn’t fit into 37 b 7 =0 64 doesn’t fit into 37 b 6 =0 32 fits into 37 b 5 =1

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How to Convert Decimal Numbers to Binary

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  1. How to Convert Decimal Numbers to Binary EXAMPLES

  2. Convert 37 to Binary • 128 64 32 16 8 4 2 1 • 128 doesn’t fit into 37 b7=0 • 64 doesn’t fit into 37 b6=0 • 32 fits into 37 b5=1 • Subtract: 37 – 32 = 5 • Continue the process with 5 • 16 doesn’t fit into 5 b4=0 • 8 doesn’t fit into 5 b3=0 • 4 does fit into 5 b2=1 • Subtract: 5 - 4 = 1 • Continue the process with 1 • 2 doesn’t fit into 1 b1=0 • 1 fits into 1 b0=1 • 00100101

  3. Convert 37 to Binary - Second Method • Divide by 2 and store the remainder • 37/2=18 b0=1 • 18/2 =9 b1=0 • 9/2=4 b2=1 • 4/2=2 b3=0 • 2/2=1 b4=0 • 1/2=0 b5=1 • Write remainders from bottom up and pad with leading 0’s to fill all 8 bits • 00100101

  4. Convert 259 to binary • 259/2 = 129 b0=1 • 129/2 = 64 b1=1 • 64/2 = 32 b2=0 • 32/2=16 b3=0 • 16/2=8 b4=0 • 8/2=4 b5=0 • 4/2=2 b6=0 • 2/2 =1 b7=0 • 1/2 = 0 b8=1 • 00000001 00000011 • 2 bytes are needed to store this number

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