Base Conversion of Decimal Numbers

Convert decimal 7562.45 to octal

Integer part/8	Quotient	Remainder
7562/8	945	2 (LSB)
945/8	118	1
118/8	14	6
14/8	1	6
1/8	0	1 (MSB)

                                    (7562)₁₀ = (16612)₈

	Integer	Remainder
.45 X 8 =	3(MSB)	.6
.6 X 8 =	4	.8
.8 X 8 =	6	.4
.4 X 8 =	3	.2
.2 X 8 =	1	.6
.6 X 8	4(LSB)	.8

                               (.45)₁₀ = (346314..)₈

(7562.45)₁₀ = (16612.346314..)₈

  

Convert decimal 4562.25 to hexadecimal

Integer part/16	Quotient	Remainder
4562/16	285	2 (LSB)
285/16	17	13
17/16	1	1
1/16	0	1 (MSB)

                                    (4562)₁₀ = (2D11)₁₆

	Integer	Remainder
.25 X 16 =	4	.0

                               (.25)₁₀ = (4)₁₆

(4652.25)₁₀ = (2D11.4)₁₆

Convert decimal 175.175 to binary

Integer part/2	Quotient	Remainder
175/2	87	1 (LSB)
87/2	48	1
48/2	24	0
24/2	12	0
12/2	6	0
6/2	3	0
3/2	1	1
1/2	0	1 (MSB)
0

                                    (175)₁₀ = (11000011)₂

	Integer	Remainder
.175 X 2 =	0(MSB)	.35
.35 X 2	0	.7
.7 X 2 =	1	.4
.4 X 2 =	0	.8
.8 X 2 =	1	.6
.6 X 2	1	.2
.2 X 2	0	.4
.4 X 2	0	.8

                               (.175)₁₀ = (00101100..)₂

(175.175)₁₀ = (11000011.00101100..)₂