Binary Step-by-Step Calculator

Cyclic Redundancy Check (CRC)

					1
1	0	1	1	1	0
		⊕	1	0	1
				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

=	2¹	+ 2^-2
=	2	+ 2^-2

= 2.25

Unsigned Binary Long Division

					1
1	0	1	1	1	0
		−	1	0	1
					1

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

	F × 16¹	+ A × 16^-2
=	15 × 16	+ 10 × 16^-2

= 240 + 0.0390625
= 240.0390625

Decimal to IEEE 754
Decimal value for IEEE 754 = (-1)^S×(1+.M)×2^E-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