DECIMAL → BINARY
DIVIDE BY 2 · READ UPWARDS
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Decimal → Binary
NUMBER ÷ 2
QUOTIENT
REMAINDER
45 ÷ 2
= 22
1
22 ÷ 2
= 11
0
11 ÷ 2
= 5
1
5 ÷ 2
= 2
1
2 ÷ 2
= 1
0
1 ÷ 2
= 0
1
read up
32
16
8
4
2
1
45
decimal (base 10)
binary (base 2)
bits
1. Rule
Divide by 2 → write the remainder
Read the remainders from bottom to top
(45)₁₀ = (101101)₂
2. One Byte = 8 Bits
128
0
64
0
32
1
16
0
8
1
4
1
2
0
1
1
3. Remember
Binary uses only 0 and 1
Each place value doubles: 1, 2, 4, 8...
MATRIC COMPUTER · NUMBER SYSTEMS · PUNJAB BOARDS
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