Question

Convert the following binary values to hexadecimal and decimal (1 pt each)

Write Hex Numbers as 0x##(ex 0x0A, 0xFF)

Binary	Hexadecimal	Decimal
0001-1011	0x
0000-1000
0000-0100
0000-1001
0001-1111
1001-1001
0111-1010
1100-0010
1110-0101
1000-1010
0011-0100
0001-1001
0100-0011
1111-1111
1110-0111
0001-0010
0100-1000
0100-1110
1001-0001
0110-1100

Name:

Convert the following hexadecimal values to binary and decimal

Write binary numbers as 0000-0000

Hexadecimal	Binary	Decimal
0xf1
0xac
0x56
0x6c
0x32
0x30
0x05
0x28
0xf0
0x07
0x42
0xb9
0x6d
0x2f
0x71
0x0e
0x2d
0xfb
0xba
0x3a

Answer 1

Here is hexadecimal equivalent of 4-bit binary:-

0000 - 0 , 0001 - 1 , 0010 - 2 , 0011 - 3 , 0100 - 4 , 0101 - 5 , 0110 - 6 , 0111 - 7 , 1000 - 8 , 1001 - 9 , 1010 - A , 1011 - B , 1100 - C , 1101 - D , 1110 - E , 1111 - F

now , how to calculate the decimal equivalent of any binary number

suppose binary number = 00011011

then 00011011 = 1 x 2⁰ + 1 x 2¹ + 0 x 2² + 1x2³ + 1x2⁴ + 0x2⁵ + 0x2⁶ + 0x2⁷ = 27

Here , 2^{bit position i} x bit number at position i (least significant bit has position number = 0 , and highest = 7)

Binary	Hexadecimal	Decimal
0001-1011	0x1B	27
0000-1000	0x08	8
0000-0100	0x04	4
0000-1001	0x09	9
0001-1111	0x1F	31
1001-1001	0x99	153
0111-1010	0x7A	122
1100-0010	0xC2	194
1110-0101	0xE5	229
1000-1010	0x8A	138
0011-0100	0x34	52
0001-1001	0x19	25
0100-0011	0x43	67
1111-1111	0xFF	255
1110-0111	0xE7	231
0001-0010	0x12	18
0100-1000	0x48	72
0100-1110	0x4E	78
1001-0001	0x91	145
0110-1100	0x6C	108

now , how to convert hexadecimal number into decimal.

suppose number 0xAB then A corresponds to decimal number 10 , B = 11 , C = 12 , D = 13 , E = 14 , F = 15

so , 0xAB = B x 16⁰ + A x 16¹ = 11 x 1 + 10 x 16 = 11 + 160 = 171

Hexadecimal	Binary	Decimal
0xf1	1111-0001	241
0xac	1010-1100	172
0x56	0101-0110	86
0x6c	0110-1100	108
0x32	0011-0010	50
0x30	0011-0000	48
0x05	0000-0101	5
0x28	0010-1000	40
0xf0	1111-0000	240
0x07	0000-0111	7
0x42	0100-0010	66
0xb9	1011-1001	185
0x6d	0110-1101	109
0x2f	0010-1111	47
0x71	0111-0001	113
0x0e	0000-1110	14
0x2d	0010-1101	45
0xfb	1111-1011	251
0xba	1011-1010	186
0x3a	0011-1010	58