1 convert the following binary numbers to decimal equivalents: PDF

Binary Fractions

Example #1: Use binary expansion to convert binary fractions into decimals. 101.11012 = (1x22) + (0x21) + (1x20) + (1x2-1) + (1x2-2) + (0x2-3) + (1x2-4).

Conversion of Binary Octal and Hexadecimal Numbers

Conversion of Decimal Numbers Conversion of Fractions ... 0.101112 = 0.1011 1000 = 0.B816. Problems. Convert the following. Binary.

number system.pdf

Decimal to Binary Conversion Result. Decimal Number is : (12345)10. Binary Number is. (11000000111001)2. 2. DECIMAL TO OCTAL. Decimal to Octal Conversion

• Conversion between number systems: • Binary arithmetic

22-Jan-2002 Decimal-to-Binary Conversion. • To convert decimal fractions to binary repeated multiplication by 2 is used

1 convert the following binary numbers to decimal equivalents:

3 Convert the following decimal numbers to their binary equivalents the fraction part is 0.25

Untitled

To convert to binary it is simplest to break the number into integer and Converting an infinitely repeating binary expansion to a decimal fraction can ...

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https://personal.utdallas.edu/~dodge/EE2310/lec2.pdf

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08-Apr-2019 computer understands only binary language of 0s and ... To convert the fractional part of a decimal number to another number system with ...

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Binary. Equivalent. (Base-2). Base 4 number. System. (Base -4) (fractional number) ... Convert these binary system numbers to decimal system numbers.

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04-Mar-2010 output to input voltage ratio that is equal to any binary fraction for a given number of bits. To this end we define a new number system ...

[PDF] Binary Fractions

Example #1: Use binary expansion to convert binary fractions into decimals 101 11012 = (1x22) + (0x21) + (1x20) + (1x2-1) + (1x2-2) + (0x2-3) + (1x2-4)

[PDF] Fraction to binary conversion

In the text itself we saw how to convert a decimal number of 14 75 into a binary view In this case we provincialized the fractional part of the binary

Converting Decimal Fractions to Binary - Academiaedu

Converting Decimal Fractions to Binary In the text proper we saw how to convert the decimal number 14 75 to a binary representation

[PDF] Short review of converting binary-decimal numbers

Fractional part Convert (0 7)10 to binary by reversing the preceding steps Multiply by 2 successively and record the integer parts moving away from the

[PDF] NUMBER SYSTEM CONVERSIONS - ipsgwaliororg

An easy way to convert from binary to octal is to group binary digits into sets of three starting with the least significant (rightmost) digits Binary:

[PDF Notes] Conversion of Decimal fraction to Binary fraction 2023

Following steps have to be followed to convert a decimal fraction to binary Step-1: Multiply the decimal fraction with 2 We shall get either 0 or 1 as

[PDF] Conversion of Binary Octal and Hexadecimal Numbers

Conversion of Fractions Starting at the binary point group the binary digits that lie to the right into groups of three or four

[PDF] The Computer Number System - The University of Texas at Dallas

The binary-hex conversion is a little trickier: Starting at the binary point create group of 4 bits then convert to hex (Go ? for fractions ? for integers)

[PDF] Number System and Conversion

Hexadecimal System uses sixteen symbols Binary Equivalent (Base-2) Base 4 number System (Base -4) (fractional number) ? 5 8 1 (base-10)

[PDF] DECIMAL BINARY AND HEXADECIMAL - Washington

Given a decimal number N: • List increasing powers of B from right to left until ? N • From left to right ask is that (power of B) ? N?

1, convert the following binary numbers to decimal equivalents:

A, 001100

B, 000011

C, 011100

D, 111100

E, 111111

Answer

For the binary representation of

321012---

=bbbbbby, the value of Y is i i iby2×=

A, 001100 = 1248202021212020

012345

B, 000011 = 312212120202020

012

345=+=×+×+×+×+×+×

C, 011100 = 284816202021212120

012345

D, 111100 = 60816322020

21212121012345

E, 111111 = 6312481632212121212121

012345

×+×+×2, Convert the following binary numbers to their decimal equivalents:

A, 11100.001

B, 110011.10011

C, 101010101010.1

Answer

For the binary representation of

321012---

=bbbbbby, the value of Y isi i i by2×=

A, 11100.001=

125.28125.0282120202020212121

32101234

B, 110011.10011=59375.5103125.00625.05.0512121202021212120202121

54321012345

-----C, 101010101010.1=

5.27305.02832128512204821212121212121

11357911

3, Convert the following decimal numbers to their binary equivalents

A, 64

B, 128

C, 256

D, 100

E, 111

F, 145

G, 255

Answer

A, Quotient Remainder

64/2 32 0

32/2 16 0

16/2 8 0

8/2 4 0

4/2 2 0

2/2 1 0

1/2 0 1

210

100000064=

B, 210

10000000128=

C, 210

100000000256=

D, Quotient Remainder

100/2 50 0

50/2 25 0

25/2 12 1

12/2 6 0

6/2 3 0

3/2 1 1

1/2 0 1

210

1100100100=

E, Quotient Remainder

111/2 55 1

55/2 27 1

27/2 13 1

13/2 6 1

6/2 3 0

3/2 1 1

1/2 0 1

210

1101111111=

F, 210

1001000145=

G, 255 Quotient Remainder

255/2 127 1

127/2 63 1

63/2 31 1

31/2 15 1

15/2 7 1

7/2 3 1

3/2 1 1

1/2 0 1

210

11111111255=

4, Convert the following decimal numbers to their binary equivalents

A, 34.75

B, 25.25

C, 27.1875

A, 34.75

the integer part (34) convert to binary format

Quotient Remainder

34/2 17 0

17/2 8 1

8/2 4 0

4/2 2 0

2/2 1 0

1/2 0 1

210

10001034=

the fraction part (0.75) covert to binary format product integer part

0.75x2 1.5 1

0.5x2 1.0 1

210

11.075.0=

210

11.10001075.34=

B, 25.25

the integer part is 25, convert to binary format

Quotient Remainder

25/2 12 1

12/2 6 0

6/2 3 0

3/2 1 1

1/2 0 1

210

1100125=

the fraction part is 0.25, convert to binary format product integer part

0.25x2 0.5 0

0.5x2 1.0 1 => 0.01

210

01.025.0=

210

01.1100125.25=

C, 27.1875

the integer part is 27, convert to binary format

Quotient Remainder

27/2 13 1

13/2 6 1

6/2 3 0

3/2 1 1

1/2 0 1

210

1101127=

the fraction part is 0.1875, convert to binary format product integer part

0.1875x2 0.375 0

0.375x2 0.75 0

0.75x2 1.5 1

0.5x2 1.0 1

210

0011.01875.0=

210

0011.110111875.27=

5, Convert the following hexadecimal number to their decimal equivalents

a, C b, 9F c, B52 d, F117 e, ABCD f, 1111.1 g, 888.8 h, EBA.C

Answer

For the hexadecimal representation of

321012---

=xxxxxxy, the value of Y is i i i xy16×= a, C = 121612 0 b, 9F= 1591615169 01 c, B52 = 28981621651611 012 d, F117 = 617191671611611615 0123
e, ABCD =439811613161216111610 0123
f, 1111.1 = 0625.4369161161161161161 10123
g, 888.8 = 5.2184168168168168 1012
h, EBA.C 75.37701612161016111614 1012

6, Convert the following decimal numbers to their hexadecimal equivalents

a, 80

Quotient Remainder

80/16 5 0

5/16 0 5

1610
5080=
b, 2560

Quotient Remainder

2560/16 160 0

160/16 10 0

10/16 0 10

1610

002560A=

c, 65536

Quotient Remainder

65536/16 4096 0

4096/16 256 0

256/16 16 0

16/16 1 0

1/16 0 1

1610

1000065536=

d, 204.125 the integer part 204, convert to hexadecimal format

Quotient Remainder

204/16 12 12

12/16 0 12

1610

204CC=

the fraction part 0.125, convert to hexadecimal format product integer part

0.125x16 2.0 2

1610

2.0125.0=

1610

2.125.204CC=

e, 631.25 the integer part 631, convert to hexadecimal format

Quotient Remainder

631/16 39 7

39/16 2 7

2/16 0 2

1610

277631=

the fraction part 0.25, convert to hexadecimal format product integer part

0.25x16 4.0 4

1610

4.025.0=

1610

4.27725.531=

f, 100000.00390625 the integer part 100000, convert to hexadecimal format

Quotient Remainder

100000/16 6250 0

6250/16 390 10

390/16 24 6

24/16 1 8

1/16 0 1

1610

0186100000A=

the fraction part is 0.00390625, convert to hexadecimal format product integer part

0.00390625x16 0.0625 0

0.0625x16 1.0 1

1610

01.000390625.0=

1610

01.018600390625.100000A=

quotesdbs_dbs17.pdfusesText_23

[PDF] 1 convert the following binary numbers to decimal equivalents:

1, convert the following binary numbers to decimal equivalents:

A, 001100

B, 000011

C, 011100

D, 111100

E, 111111

Answer

For the binary representation of

321012---

A, 001100 = 1248202021212020

012345

B, 000011 = 312212120202020

345=+=×+×+×+×+×+×

C, 011100 = 284816202021212120

012345

D, 111100 = 60816322020

21212121012345

E, 111111 = 6312481632212121212121

012345

A, 11100.001

B, 110011.10011

C, 101010101010.1

Answer

For the binary representation of

321012---

A, 11100.001=

125.28125.0282120202020212121

32101234

54321012345

5.27305.02832128512204821212121212121

11357911

3, Convert the following decimal numbers to their binary equivalents

B, 128

C, 256

D, 100

E, 111

F, 145

G, 255

Answer

64/2 32 0

32/2 16 0

16/2 8 0

8/2 4 0

4/2 2 0

2/2 1 0

1/2 0 1

100000064=

10000000128=

100000000256=

100/2 50 0

50/2 25 0

25/2 12 1

12/2 6 0

6/2 3 0

3/2 1 1

1/2 0 1

1100100100=

111/2 55 1

55/2 27 1

27/2 13 1

13/2 6 1

6/2 3 0

3/2 1 1

1/2 0 1

1101111111=

1001000145=

255/2 127 1

127/2 63 1

63/2 31 1

31/2 15 1

15/2 7 1

7/2 3 1

3/2 1 1

1/2 0 1

11111111255=

4, Convert the following decimal numbers to their binary equivalents

A, 34.75

B, 25.25

C, 27.1875