Transcript How to Convert Decimal to Binary

How to Convert Decimal
Numbers to Binary
EXAMPLES
Convert 37 to Binary
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128 64 32 16 8 4 2 1
128 doesn’t fit into 37
64 doesn’t fit into 37
32 fits into 37
Subtract: 37 – 32 = 5
Continue the process with 5
16 doesn’t fit into 5
8 doesn’t fit into 5
4 does fit into 5
Subtract: 5 - 4 = 1
Continue the process with 1
2 doesn’t fit into 1
1 fits into 1
00100101
b7=0
b6=0
b5=1
b4=0
b3=0
b2=1
b1=0
b0=1
Convert 37 to Binary - Second Method
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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
Convert 259 to binary
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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