Binary Step-by-Step Calculator
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Cyclic Redundancy Check (CRC)
1 1 0 1 1 1 0 ⊕ 1 0 1 1 1 -
Unsigned Binary Long Division
1 1 0 1 1 1 0 − 1 0 1 1 -
Booth's Multiplication Algorithm
0 1 0 × +1 0 -1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 0 -
Decimal with fraction to Binary
2 3 ...1 1 ...1 0.125 x 2 = 0.25 ...0 0.25 x 2 = 0.5 ...0 0.5 x 2 = 1 ...1 -
Binary with fraction to Decimal
10. 012
= 2.25= 21 + 2-2 = 2 + 2-2
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Decimal with fraction to Hexadecimal
Short Division for Integer Part: 16 30 ...E 1 ...1 Multiple by 16 for Fraction Part: 0.007813 × 16 = 0.125 ...0 0.125 × 16 = 2 ...2 -
Hexadecimal with fraction to Decimal
= 240 + 0.0390625F × 161 + A × 16-2 = 15 × 16 + 10 × 16-2
= 240.0390625
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Decimal to IEEE 754
Decimal value for IEEE 754 = (-1)S×(1+.M)×2E-bias
S = 1 (since it is a negative number)
Exponent = log(24.125)⁄log(2)≈4
(E = exponent + bias = 4 + 127 = 131)
E = 1000 00112
1+.M = 24.125⁄24≈1.5078125
.M ≈ 0.5078125